Studies of an air cooler under frost condition
Open accessAbstract
Frost accumulation on an air cooler, a direct result of combined heat and mass transfer between the moist air flowing across a cold surface, causes heat transfer performance degradation due to the insulating effect of frost layer and the coil blockage as the frost grows. The complex geometry of finned tube air cooler leads to uneven wall and air temperature distribution inside the coil, and causes variations of frost growth rate and densification along the coil. In this study, a general distributed model with frost formation was developed to predict the dynamic behavior of an air cooler both under non-frost and frost condition. Results include frost accumulation and its effect on energy transfer, air off-coil temperature, refrigerant liquid dry-out position and propagation of frost formation along the coil.
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Written from the paper’s full text.
TL;DR
This thesis develops a distributed transient model of a finned-tube air cooler that couples two-phase or single-phase refrigerant flow with a quasi-steady frost layer, then checks it against published single-row data and field measurements from an R-12 refrigerated container. The model reproduces major frosting trends but under-predicts multi-row pressure drop and frost mass, with the latter attributed mainly to condensate drip.
Key findings
- For a single-row flat finned-tube test, the model predicted 0.46 kg frost mass versus 0.43 kg measured, about a 7% discrepancy, and matched air-side pressure drop within 8%; in the full-scale container, energy transfer agreed within ±3% although experimental uncertainty was ±6%.
- In the container field tests, the model under-predicted air-side pressure drop by about 20%, air outlet temperature deviation grew to roughly 1–2 °C under frosting, and predicted frost mass was 6.13, 6.62, and 6.73 kg versus collected condensate of 8.28, 8.49, and 8.82 kg, about 25% low.
- Frost degraded performance: energy transfer decreased as frost accumulated, air pressure drop rose from about 20 Pa to about 330 Pa, frost first appeared at the ends of the first row near the refrigerant inlet, and it propagated toward the coil exit with the first row accumulating the most frost.
- Parametric simulations showed greater frost accumulation at lower air mass flow (3.07 kg at 0.75 kg/s versus 2.41 kg at 1.5 kg/s), higher relative humidity (70% RH gave 13.7 Pa pressure drop versus 3.8 Pa at 50% RH), higher inlet air temperature (3.15 kg at 7 °C versus 2.36 kg at 3 °C), and larger fin pitch (2.93 kg at 6 fpi versus 2.57 kg at 10 fpi); fin-base frost height was 0.315 mm versus 0.239 mm at the tip after 50 min.
Methods
- A distributed finite-difference model was built for refrigerant mass, momentum, and energy in one-dimensional transient form, using a two-phase drift flux approach with the Chisholm correlation selected, plus a single-phase refrigerant version; tube-wall and fin energy equations, air-side heat and mass balances, and a quasi-steady frost growth/densification model with permeation were included.
- Sensitivity studies selected 10 fin nodes, a convergence criterion of 10⁻⁴, and 40 cells per row; frosting simulations ran for 3600 s with a 30 s time step, while a validation case used 40 cells per coil and a 10 s time step.
- Validation used published single-row flat finned-tube data with 50% ethylene glycol/water, inlet air at 0 °C and 80% RH, face velocity 0.762 m/s, and refrigerant inlet at −15 °C, plus field tests on a 40-ft refrigerated container with R-12, a 6-row/9-circuit evaporator, 514 aluminum fins, 12.7 mm copper tubes, three observations over more than 3 hours, outdoor temperatures of 33–35 °C, and steam injection at 5.9 kg/h.
Limitations
- The paper states that the model under-predicts pressure drop for multi-row coils by about 20%, that the air-side heat transfer coefficient deviates once frost forms, that frost mass is under-predicted by about 25% mainly because condensate drip and post-shutdown vapor transfer are not modeled, that the permeation model needs experimental validation, and that the model is limited to flat fins and smooth tubes and is not linked to a system model.
- Evident from the text: field validation rests on only three observations; the frosting simulations hold inlet conditions constant to isolate frost effects, unlike real transient operation; the simulation assumes uniform air distribution while the field showed uneven flow; and predicted frost propagation reached later rows earlier than observed.
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Claims the paper makes
3 of 96 cited sources checked · 1 supported · 0 flagged · accuracy not yet measured
- Premisecitation§ 3.4.3 Pressure drop across coil
The friction factor correlation from Wang et al. (2000) is only valid for the condition without frost.
“The above friction factor is only valid for the condition without frost.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Wang et al. (2000) source
The Results and discussion (p. 7) present a friction-factor correlation, and the Conclusions (p. 8) specify its applicable fin geometry and dimensions. Neither passage addresses frost or says the correlation is valid only without it; searches for frost and dry-surface conditions found no such statement in our copy. (LLM, conf=0.72)
Experimental — accuracy not yet measured
- Premisecitation§ 3.4.3 Pressure drop across coil
Wang et al. (2000) friction factor correlation can predict 85.1% of the test cores within ±15%, with a mean deviation of 8.31%.
“Wang et al. (2000) correlated the friction factor, f, from a total of 74 test cores.The proposed friction factor correlation can predict 85.1% of the test cores within ± 15%, with a mean deviation of 8.31%.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Wang et al. (2000) source
- Findingown data§ 2.1 Frost Property
There is a wide spread in predicted thermal conductivity for a particular frost density among earlier frost thermal conductivity models.
“Figure 2.1 shows comparison of some earlier frost thermal conductivity models.It shows that there is a wide spread in the predicted thermal conductivity for a particular frost density.”
Quote in the paperNot a substantial claim - Findingown data§ Abstract
The presented model is able to predict the dynamic behavior of an air cooler under both non-frost and frost conditions.
“The presented model is able to predict the dynamic behavior of an air cooler both under non-frost and frost condition.”
Quote in the paperSubstantial claim - Findingown data§ Abstract
Model predictions agree well with reported experimental results based on frost mass accumulation, pressure drop across coil and energy transfer coefficient.
“Comparisons were made based on the frost mass accumulation, pressure drop across coil and energy transfer coefficient, and results were found to agree well with reported experimental results.”
Quote in the paperSubstantial claim
- Findingown data§ Abstract
The model is capable of predicting the dynamic behavior of a direct expansion evaporator under both non-frosting and frosting conditions.
“Results show that the model is capable of predicting the dynamic behavior of a direct expansion evaporator under both non-frosting and frosting conditions.”
Quote in the paperSubstantial claim - Findingown data§ CHAPTER 3 3 Mathematical Models
The refrigerant thermal property inside the tube, the frost thermal property, and the air condition outside the tube are inter-related.
“Figure 3.1 shows the thermal resistance for finned tube evaporator under frosting condition.It is clear that the refrigerant thermal property inside the tube, the frost thermal property and air condition outside the tube are inter-related.”
Quote in the paperSubstantial claim - Findingown data§ 4.1 Selection of
The finite difference solution compared well with the analytical solution for the fin temperature distribution.
“From Figure 4.1, it can be seen that the solution using finite difference compared well with the analytical solution.”
Quote in the paperSubstantial claim - Findingown data§ 4.1 Selection of
Finite difference method using 5, 10 and 20 nodes does not make much difference.
“Finite difference method using 5, 10 and 20 nodes does not make much different.”
Quote in the paperSubstantial claim - Findingnone given§ 4.3.3 Variation of frost, air and wall temperature inside coil
At the fourth row, the frost height is greater on the right compared to the left.
“At the fourth row, the frost height is greater on the right as compared to the left.”
Quote in the paperNot a substantial claim - Findingown data§ 4.1.4 Selection of time step
With a step increase in refrigerant flow rate, the predicted liquid dry-out position moves towards the evaporator outlet.
“The graph shows that with a step increase in the refrigerant flow rate, the predicted liquid dry-out position moves towards the evaporator outlet.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
The rate of frost growth and propagation along the coil is higher for higher air humidity.
“This causes the rate of frost growth and propagation along the coil is higher for air humidity condition as shown in Fig. 4.26.”
Quote in the paperSubstantial claim - Findingown data§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
The refrigerant liquid dry-out position occurs at the fifth row, cell no. 175.
“The refrigerant liquid dry out position can be noticed to occur at fifth row, cell no.175.”
Quote in the paperNot a substantial claim - Findingown data§ 4.3.3 Variation of frost, air and wall temperature inside coil
Evaporator air outlet temperature depends on the condition of the air inlet.
“Evaporator air outlet temperature depends on the condition of the air inlet.”
Quote in the paperSubstantial claim - Findingown data§ 4.1.2 Selection of convergence criterion
The results for convergence criteria of 10^-4 and 10^-5 are much close to each other for refrigerant temperature and velocity at 40 cells per row.
“It can be seen that the results for the convergence criterion of 10 -4 and 10 -5 are much closed to each other.”
Quote in the paperSubstantial claim - Findingown data§ 4.1.4 Selection of time step
Compared with the three drift flux models, the homogeneous model underestimates the degree of superheat by up to about 1°C.
“Comparing with the three drift flux models, the homogeneous model underestimates the degree of superheat up to about 1 o C.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.1.4 Selection of time step
The homogeneous model predicts a 20 s shorter transient period of the evaporator compared with the three drift flux models.
“The homogeneous model gives a prediction of 20 s shorter transient period of the evaporator compared with predictions of three drift flux models.”
Quote in the paperNot a substantial claim - Findingnone given§ 4.1.4 Selection of time step
The graph shows a decreasing trend of superheat when the refrigerant mass flow increases.
“The graph shows decreasing trend of superheat when the refrigerant mass flow increases.”
Quote in the paperNot a substantial claim - Findingown data§ 4.1.3 Selection of number of cells
For refrigerant temperature, 80 cells per row give the same results as 40 cells per row.
“i.e. 80 cells per row are same as 40 cells per row.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rate
Four rows on the right hand side were still in two-phase refrigerant flow compared with three rows on the left.
“Four rows on the right hand side were still in twophase refrigerant flow as compare with three rows on the left.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rate
The air outlet temperature on the right and left hand sides varies as the refrigerant liquid dry-out position shifts from cell no. 148 to 180.
“The air outlet temperature on the right hand side and left hand side varies as the refrigerant liquid dry-out position shift from cell no.148 to 180.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
The air and wall temperature inside the coil vary due to the phase change of the refrigerant.
“The air and wall temperature inside the coil vary and they are due to the phase change of the refrigerant as shown in Section 4.2.2.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
The temperature inside the evaporator coil varies greatly along the coil from inlet to outlet because of the two-phase flow of refrigerant.
“The temperature inside the evaporator coil varies greatly caused by the twophase flow of refrigerant.along the coil from inlet to outlet.”
Quote in the paperSubstantial claim - Findingown data§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
The air temperature difference is lowest when the liquid dry-out position occurs at the two ends of the coil for any given row.
“the air temperature difference is lowest when the liquid dry-out position happen at the two ends of the coil for any given row.”
Quote in the paperSubstantial claim - Findingown data§ 4.1.4 Selection of time step
The drift flux models reach a steady state at 180 s.
“The drift flux models reach a steady state at 180 s.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
When frost starts to form and grow on the evaporator, the air outlet temperature tends to increase.
“When frost starts to form and grow on the evaporator, the air outlet temperature tends to increase as shown in Fig. 4.22.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
As time progresses, frost formation propagates to subsequent cells toward the evaporator exit due to the insulation effect of frost.
“As time progressed, the formation of frost propagates to the subsequent cells toward the exit of the evaporator due to the insulation effect of frost.”
Quote in the paperSubstantial claim - Findingown data§ 4.3.3 Variation of frost, air and wall temperature inside coil
The evaporator air outlet temperature gets higher when the air inlet temperature is high.
“The evaporator air outlet temperature gets higher when the air inlet temperature is”
Quote in the paperNot a substantial claim - Findingown data§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
The air temperature difference is highest when the liquid dry-out position occurs in the middle of the coil.
“The air temperature difference is highest when it happens in the middle of the coil.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
Air entering at 5°C at the 6th row exits with air temperature on the right hand side slightly colder than that at the left hand side.
“The air entering at 5 o C at the 6 th row and exiting with air temperature on the right hand side is slightly colder than that at the left hand side.”
Quote in the paperNot a substantial claim - Findingown data§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rate
The initial refrigerant liquid dry-out position is at position 148, around the middle of the fourth row.
“the initial refrigerant liquid dry out position is at position 148, which is around the middle of forth row.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
At the early stage, the wall temperature is slightly lower at the right side cells.
“It is observed that at the early stage, the wall temperature is slightly lower at the right side cells.”
Quote in the paperNot a substantial claim - Findingown data§ 4.6 Conclusion
Frost growth propagates along the tube toward the coil exit.
“The frost growth propagates along the tube toward the coil exit.”
- Also stated in: § 6.1 Conclusions · plain
“The frost growth propagates along the tube toward the coil exit.”
Quote in the paperSubstantial claim - Also stated in: § 6.1 Conclusions · plain
- Findingown data§ 4.5.1 Frost growth
The experimental result shows that the mass of frost increases with time.
“The experimental result shows that the mass of frost increases with time.”
Quote in the paperSubstantial claim - Findingown data§ 4.5.1 Frost growth
The model predicts a similar trend.
“The model predicts similar trend.”
Quote in the paperSubstantial claim - Findingown data§ 4.5.1 Frost growth
The mass of frost increases almost linearly with time.
“From Fig. 4.45, it can be seen that the mass increases almost linearly with time.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.4 Effect of fin pitch on evaporator
Frost accumulation is highest for the larger fin pitch condition.
“The frost accumulation on the effect of fin pitch is shown in Fig. 4.41.The frost accumulation is highest for larger fin pitch condition.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.4.4 Effect of fin pitch on evaporator
The overall heat transfer coefficient is higher for an evaporator with a larger fin pitch.
“The overall heat transfer coefficient is higher for an evaporator with a larger fin pitch.”
Quote in the paperSubstantial claim - Findingown data§ 5.3.1 Field observation on air side
The air pressure drop was maintained constant at approximately 20 Pa until around 5400 s, when it gradually increased and reached approximately 330 Pa at the end of the test for observations 1, 2 and 3.
“The air pressure drop was maintained constant at approximately 20 Pa until at around 5400 s when the air pressure dropped across the coil gradually increased and reached approximately 330 Pa at the end of the test for observation 1, 2 and 3, as shown in Fig. 5.5 (a), 5.5 (b) and 5.5 (c).”
Quote in the paperSubstantial claim - Findingreasoning§ 5.3.1 Field observation on air side
The fluctuation becomes more severe toward the end of the test for all three observations.
“The fluctuation becomes more severe toward the end of the test for all three observations.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.3 Effect of air mass flow rate on evaporator
The total energy transfer rate starts to decrease as frost continues to build up and propagate.
“The total energy transfer rate, however, starts to decrease as frost continue to build up and propagate.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
With the onset of frost growth, the overall energy transfer rate decreases with time more rapidly at higher humidity.
“As expected, with the onset of frost growth, the frost forms an insulating layer and the overall energy transfer rate decreases with time more rapidly at higher humidity as shown in Fig. 4.27.”
Quote in the paperSubstantial claim - Findingnone given§ 4.4.4 Effect of fin pitch on evaporator
Fin pitch on the evaporator has an influence on the frosting rate.
“Fin pitch on evaporator has influence on the frosting rate of the evaporator.”
Quote in the paperSubstantial claim - Findingnone given§ 4.5.1 Frost growth
The present model predicts results closer to experimental results than the simulation results of Kondepudi and O'Neal (1993b).
“The present model predicts results closer to experimental results than the simulation results of Kondepudi and O'Neal (1993b).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1993b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Findingown data§ 4.5.1 Frost growth
The predicted mass accumulated at the end of the experiment was 0.46 kg.
“The predicted mass accumulated at the end of the experiment was 0.46 kg.”
Quote in the paperSubstantial claim - Findingown data§ 4.5.1 Frost growth
The difference between the fin base and tip temperature is about 1.11°C.
“The difference between the fin base and tip is about 1.11 o C.”
Quote in the paperNot a substantial claim - Findingown data§ 5.3.1 Field observation on air side
The air outlet temperature reduces as the air inlet temperature reduces.
“From Fig. 5.6, the air outlet temperature was seen to reduce, as the air inlet temperature reduces, as shown earlier in Fig. 5.4.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.3 Effect of air mass flow rate on evaporator
Frost formation and propagation is lower for higher air mass flow rate.
“In such condition, the frost formation and propagation is lower for higher air mass flow rate.”
Quote in the paperSubstantial claim - Findingown data§ 4.6 Conclusion
The tube row where the refrigerant inlet is located, which has lower wall temperature, has more frost accumulation and growth.
“The tube row where the refrigerant inlet located, which has lower wall temperature, has more frost accumulation and growth.”
Quote in the paperSubstantial claim - Findingown data§ 4.5.1 Frost growth
The frost height varies along the fin due to differences in fin surface temperature.
“The frost height varies along the fin due to the different in fin surface temperature.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.3 Effect of air mass flow rate on evaporator
The rate of decrease in total energy transfer rate is highest for the lower air mass flow rate of 0.75 kg/s, decreasing from 10.58 kW to 10.11 kW.
“From Figure 4.33, the rate of decrease in total energy transfer rate is highest for lower air mass flow rate, 0.75 kg/s, which decreases from 10.58 kW to 10.11 kW.”
Quote in the paperNot a substantial claim - Findingnone given§ 4.4.4 Effect of fin pitch on evaporator
The air outlet temperature increases with time due to the insulation effect.
“The air outlet temperature increases with time due to the insulation effect.”
Quote in the paperNot a substantial claim - Findingown data§ 4.5.1 Frost growth
In the experiment, the total mass accumulated after 50 min was 0.43 kg.
“For the experiment, the total mass accumulated after 50 min was 0.43 kg.”
Quote in the paperSubstantial claim - Findingreasoning§ 4.6 Conclusion
The frost height at the fin base is higher than that at the fin tip.
“The frost height at fin base is higher than that at the fin tip”
Quote in the paperSubstantial claim - Findingown data§ 5.3.1 Field observation on air side
The air inlet temperature decreases with time as the space is cooled.
“The air inlet temperature decreases with time as the space was cooled.”
Quote in the paperNot a substantial claim - Findingreasoning§ 4.4.4 Effect of fin pitch on evaporator
The air outlet temperature for larger fin pitch is higher than that for lower fin pitch.
“As a result, the air outlet temperature for larger fin pitch has higher air outlet temperature than that of the lower fin pitch condition.”
Quote in the paperSubstantial claim - Findingown data§ 4.5.1 Frost growth
A total discrepancy of approximately 7% is found.
“A total of approximately 7 % discrepancy is found.”
Quote in the paperSubstantial claim - Findingown data§ 5.4.2 Energy transfer rate comparison
As the difference between refrigerant and air temperatures reduces, the energy transferred to the refrigerant reduces.
“As the difference between refrigerant and air temperatures reduces, the energy transferred to the refrigerant reduces as shown in Fig. 5.8.”
Quote in the paperSubstantial claim - Findingown data§ 6.1 Conclusions
Air and wall temperature vary along the tubes and coil, which leads to nonuniform frost growth along the coil.
“The air and wall temperature vary along the tubes and coil which lead to nonuniform frost growth along coil.”
Quote in the paperSubstantial claim - Findingown data§ 5.4.2 Energy transfer rate comparison
The predicted frost mass accumulation at the end of the experiment is 6.13 kg, 6.62 kg, and 6.73 kg for the three observations.
“Fig. 5.10 shows the predicted frost mass accumulation at the end of the experiment to be 6.13 kg, 6.62 kg and 6.73 kg for the three observations.”
Quote in the paperSubstantial claim - Findingown data§ 5.4.1 Air side comparisons
On average, the model under-predicts the experimental air pressure drop data within 20%.
“On average, it is found that the model under-predicts the experiment data within 20 % of each other.”
Quote in the paperNot a substantial claim - Findingown data§ 5.3.3 Field observation of frost formation
Frost continued to form on the surface of the fifth row when the wall temperature at that row dropped below freezing point.
“Frost continued to form on the surface of the fifth row when the wall temperature at that row dropped below freezing point.”
Quote in the paperNot a substantial claim - Findingown data§ 5.5 Conclusions
The model can predict results for the occurrence of frost on respective rows of the evaporator.
“The model can predict results for the occurrence of frost on respective rows of the evaporator.”
- Also stated in: § 6.1 Conclusions · plain
“The model can predict results for the occurrence of frost on respective rows of the evaporator.”
Quote in the paperSubstantial claim - Also stated in: § 6.1 Conclusions · plain
- Findingown data§ 6.1 Conclusions
Frost formation is high for high relative humidity.
“The frost formation is high for a low air mass flow rate, high relative humidity, high air inlet temperature and high fin pitch.”
Quote in the paperSubstantial claim - Findingnone given§ 5.4.2 Energy transfer rate comparison
The additional mass transfer after shutdown is not taken into consideration in the simulation.
“This additional mass transfer is not taken into consideration of simulation.”
Quote in the paperSubstantial claim - Findingnone given§ 6.1 Conclusions
With increase of frost growth, air pressure drop across evaporator increases.
“With the increase of frost growth, the total air side heat transfer will decrease and the air pressure drop across evaporator will increase.”
Quote in the paperSubstantial claim - Findingnone given§ 6.1 Conclusions
Frost formation is high for high air inlet temperature.
“The frost formation is high for a low air mass flow rate, high relative humidity, high air inlet temperature and high fin pitch.”
Quote in the paperSubstantial claim - Findingown data§ 5.3.3 Field observation of frost formation
Similar thin frost layers were observed during the second and third observations at 3750 s and 3700 s, with refrigerant pressures and temperatures of 262.3 kPa, -4.8 °C and 265.5 kPa, -4.5 °C.
“Similar thin layer of frost were also observed during second and third observation at 3750 s and 3700 s with the refrigerant pressure and temperature of 262.3 kPa, -4.8 o C and 265.5 kPa, -4.5 o C.”
Quote in the paperNot a substantial claim - Findingown data§ 5.4.1 Air side comparisons
The simulated pressure drop before 5500 s matches closely with the experiment with differences within 7%.
“The simulated pressure drop before 5500 s matches closely with the experiment with differences within 7 %.”
Quote in the paperNot a substantial claim - Findingown data§ 5.3.3 Field observation of frost formation
A thin layer of frost was observed on the tube and fin at the end of the first row and the beginning of the second row (on the right hand side) along the tube circuit at 3600 s for observation 1.
“A thin layer of frost was observed on the tube and fin at the end of the first row and the beginning of the second row (on the right hand side) along the tube circuit at 3600 s for observation 1.”
Quote in the paperSubstantial claim - Findingreasoning§ 5.5 Conclusions
The model under-predicts frost mass accumulation by about 25%.
“The model under-predicts frost mass accumulation by about 25 %.”
Quote in the paperSubstantial claim - Findingown data§ 6.1 Conclusions
With increase of frost growth, total air side heat transfer decreases.
“With the increase of frost growth, the total air side heat transfer will decrease and the air pressure drop across evaporator will increase.”
Quote in the paperSubstantial claim - Findingnone given§ 6.1 Conclusions
Frost formation is high for high fin pitch.
“The frost formation is high for a low air mass flow rate, high relative humidity, high air inlet temperature and high fin pitch.”
Quote in the paperSubstantial claim - Findingnone given§ 6.1 Conclusions
Frost formation is high for a low air mass flow rate.
“The frost formation is high for a low air mass flow rate, high relative humidity, high air inlet temperature and high fin pitch.”
Quote in the paperSubstantial claim - Findingnone given§ 6.2 Recommendations
The condensate drip effect was observed when part of the evaporator is above the freezing temperature and below the dew point temperature.
“The condensate drip effect was observed when part of the evaporator is above the freezing temperature and below the dew point temperature.”
Quote in the paperSubstantial claim - Findingown data§ 6.1 Conclusions
At the tube row where the refrigerant inlet is located, which has lower wall temperature, more frost accumulation and growth occurs.
“At the tube row where the refrigerant inlet is located, which has lower wall temperature, it is found that more frost accumulation and growth.”
Quote in the paperSubstantial claim - Findingown data§ 6.1 Conclusions
Simulated results showed that variation of air and wall temperature would have effect on frost deposition on the evaporator.
“The simulated results showed that variation of air and wall temperature would have effect on the frost deposition on the evaporator.”
Quote in the paperSubstantial claim - Findingown data§ 5.4.1 Air side comparisons
The model is capable of predicting accurately the air outlet temperature for conditions before frost formation.
“comparison with simulation results shows that the model is capable of predicting accurately the air outlet temperature for conditions before frost formation.”
Quote in the paperSubstantial claim - Findingown data§ 5.4.2 Energy transfer rate comparison
Field observation of frost growth and predicted average frost height agree that frost covers the first two rows around 5900 s, 5600 s, and 6000 s for the three observations.
“Comparing the field observation of frost growth with the predicted average frost height, they are agreeable that frost covers the first two rows around 5900 s, 5600 s and 6000 s for the three observations.”
Quote in the paperNot a substantial claim - Findingown data§ 6.2 Recommendations
Frost height is higher when air relative humidity is high.
“From the figures shown, it is clear that the frost height is higher when the air relative humidity is high.”
Quote in the paperSubstantial claim - Findingcitation§ Additional information
The trend of frost growth and densification for cell no. 30 is consistent with existing experimental data (Chen et al. 1999, Lee et al. 2003).
“The trend of change shown is consistent with existing experimental data (Chen et al. 1999, Lee et al. 2003).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Chen et al. 1999
- cites Lee et al. 2003 source
- Findingcitation§ 6.2 Recommendations
The model predicts Kondepudi and O'Neal (1990) experimental data for a single row heat exchanger with single-phase fluid well.
“h) The model predictsKondepudi and O'Neal (1990) experimental data for single row heat exchanger with single-phase fluid well.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Findingown data§ 6.2 Recommendations
Frost formation is observed to occur first at both ends of the first row where the refrigerant enters the evaporator, due to uneven air flow and pressure drop at the bend.
“a) Frost formation is observed to occur first at both ends of the first row where the refrigerant enters the evaporator, due to the uneven air flow and pressure drop at the bend.”
- Also stated in: § 6.2 Recommendations · plain
“a) Frost formation is observed to occur first at both ends of the first row where the refrigerant enters the evaporator, due to the uneven air flow and pressure drop at the bend.”
Quote in the paperSubstantial claim - Also stated in: § 6.2 Recommendations · plain
- Findingreasoning§ 6.2 Recommendations
Air pressure drop across the coil is highest for 70% RH, followed by 60% RH and 50% RH.
“It is obvious that the air pressure drop across the coil is highest for 70 % RH condition, followed by 60 % RH and 50 % RH.”
Quote in the paperNot a substantial claim - Findingown data§ 6.2 Recommendations
The distributed model is capable of predicting the dynamic performance of the evaporator under non-frosting and frosting conditions.
“b) The distributed model is capable of predicting the dynamic performance of the evaporator under non-frosting and frosting conditions.”
- Also stated in: § 6.2 Recommendations · plain
“b) The distributed model is capable of predicting the dynamic performance of the evaporator under non-frost and frost conditions.”
Quote in the paperSubstantial claim - Also stated in: § 6.2 Recommendations · plain
- Findingown data§ Additional information
The simulated result reveals that frost is thicker as it gets closer to the refrigerant inlet point.
“The simulated result reveals that the frost is thicker as it gets closer to the refrigerant inlet point.”
Quote in the paperNot a substantial claim - Findingcitation§ Additional information
The frost mass accumulation increases gradually initially and later increases approximately in a linear fashion till the end.
“The frost mass accumulation increases gradually initially and later increases approximately in a linear fashion till the end.”
Quote in the paperNot a substantial claim - Findingown data§ Additional information
The model predicts well, with an overall difference of ±3% of each other for all three observations.
“Overall, it is found that the model predicts well, with an overall difference of ± 3 % of each other for all three observations.”
Quote in the paperSubstantial claim - Findingown data§ 6.2 Recommendations
At the end of the simulation with uniform inlet air temperature of 14.5 °C, the air temperature is colder at the left hand side of the coil from cell 1 to around cell 16 and cells parallel to them in the direction of air flow compared to other cells at the same rows.
“From this figure, it can be seen that the air temperature is colder at the left hand side of the coil from cell 1 to around cell 16 and cells parallel to them in the direction of air flow as compared to the other cells at the same rows.”
Quote in the paperNot a substantial claim - Findingown data§ 6.2 Recommendations
The air pressure drop across the heat exchanger matches closely within 8% with experimental result.
“(ii) The air pressure drop across the heat exchanger matches closely within 8 % with experimental result.”
Quote in the paperNot a substantial claim - Findingown data§ 6.2 Recommendations
The model under-predicts the pressure drop for a coil with 6 rows by about 20% compared to field observation.
“c) The model under-predicts the pressure drop for coil with 6 rows by about 20 %, hence a better model to predict the pressure drop under frosting condition is required.”
- Also stated in: § 6.2 Recommendations · plain
“c) The model under-predicts the pressure drop by about 20 %, comparing to the field observation.”
Quote in the paperSubstantial claim - Also stated in: § 6.2 Recommendations · plain
- Premisecitation§ 2.2.1 Modeling of Frost growth
The initial frost thickness and density can be given sufficiently small values without affecting the solution for frost growth and densification.
“As long as the initial frost thickness and density are given sufficiently small value, they will not affect the solution for the frost growth and densification.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Jones and Parker (1975) source
- Premisecitation§ 2.2 Frost Growth
The frost layer grows faster in the upstream than in the downstream of the plate.
“Hayashi et al. (1977), Abdel-Wahed et al. (1984), Schulte and Howell (1982), Mao et al. (1992) and Cheng and Shiu (2002) found that the frost layer grows faster in the upstream than in the downstream of the plate.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Hayashi et al. (1977)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Abdel-Wahed et al. (1984) source
- cites Schulte and Howell (1982)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisereasoning§ List of Figures
The problem with heat exchangers under frosting condition is very complicated because frost growth and properties vary with location and time.
“The problem with heat exchangers under frosting condition is very complicated because frost growth and the properties vary with location and time.”
Quote in the paperSubstantial claim - Premisereasoning§ Abstract
Frost accumulation on an air cooler causes heat transfer performance degradation due to the insulating effect of the frost layer and coil blockage as frost grows.
“Frost accumulation on an air cooler, a direct result of combined heat and mass transfer between the moist air flowing across a cold surface, causes heat transfer performance degradation due to the insulating effect of frost layer and the coil blockage as the frost grows.”
Quote in the paperSubstantial claim - Premisecitation§ 2.2 Frost Growth
There is no conclusive evidence on the effect of air velocity on frost growth.
“However, as for the effect of air velocity, there is no conclusive evidence.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Schneider (1978) source
- cites Yamakawa et al. (1972)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 2.1 Frost Property
The rate at which the frost surface reaches 0°C depends on air temperature, air humidity, air flow rate and heat exchanger surface temperature.
“The rate at which the frost surface reaches 0 o C is dependent on the air temperature, air humidity, air flow rate and heat exchanger surface temperature.”
Quote in the paperNot a substantial claim - Premisecitation§ 2.1 Frost Property
There is a general consensus in the literature that a relationship exists between frost thermal conductivity and density.
“There is a general consensus in the literature that a relationship exists between these two properties.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Chen and Rohsenow (1964) source
- cites Chung and Algren (1958b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 2.1 Frost Property
The wide variation in frost thermal conductivity predictions probably results from differences in the internal crystalline structure and porosity of frost for each investigation.
“The wide variation probably results from a combination of differences in the internal crystalline structure of the frost for each investigation and differences in the porosity of the frost.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 2.1 Frost Property
Differences in air temperature, humidity, flow rate and surface temperature may be the primary reason for the wide scattering in data relating frost thermal conductivity and density.
“Therefore, the differences in these variables in the investigations may be the primary reason for the wide scattering in the data relating the thermal conductivity and density.”
Quote in the paperSubstantial claim - Interpretationreasoning§ List of Figures
Lower evaporator temperature may create mechanical problems such as liquid refrigerant flooding back to the compressor because less refrigerant boils off.
“This lower evaporator temperature may create mechanical problems in the system such as liquid refrigerant flooding back to the compressor, since less refrigerant boils off.”
Quote in the paperSubstantial claim - Premisenone given§ List of Figures
The porous structure of frost contains low thermal conductivity air pores, leading to low thermal conductivity of the frost layer.
“The porous structure of frost contains low thermal conductivity air pores that lead to low thermal conductivity of frost layer.”
Quote in the paperNot a substantial claim - Interpretationnone given§ Abstract
The complex geometry of a finned tube air cooler leads to uneven wall and air temperature distribution inside the coil, causing variations of frost growth rate and densification along the coil.
“The complex geometry of finned tube air cooler leads to uneven wall and air temperature distribution inside the coil, and causes variations of frost growth rate and densification along the coil.”
Quote in the paperSubstantial claim - Premisecitation§ List of Figures
Studies on frost growth on finned tube heat exchangers have shown large temporal and spatial variations in frost growth depending on heat exchanger design and operating conditions.
“The results of the studies on frost growth on finned tube heat exchanger have shown that there are large temporal and spatial variations in the frost growth which depend on the design of the heat exchanger and its operating conditions (Ogawa et al. 1993).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Ogawa et al. 1993
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 2.1 Frost Property
Frost thermal conductivity changes as frost density varies because they are related.
“The thermal conductivity of frost changes as the frost density varies because they are related.”
Quote in the paperSubstantial claim - Premisecitation§ 3.6.2 Frost layer side
Jones and Parker (1975) found that initial frost thickness can approach zero (~2 x 10^-5 m) without causing significant problems in predicting the frost growth rate.
“Jones and Parker (1975) tested the initial conditions by changing the values of the initial frost thickness and found that the initial thickness can approach zero (~ 2 x 10 -5 m) without causing significant problems in predicting the frost growth rate.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Jones and Parker (1975) source
- Premisenone given§ Chapter 2
The heat transfer coefficient for lower fin density coil was higher than high fin density coil after a period of frosting.
“The heat transfer coefficient for lower fin density coil was higher than high fin density coil after a period of frosting.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Stoecker (1957,1960)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 2.4 Conclusions
Frost formation and growth deteriorate the performance of finned-tube heat exchangers.
“It has been agreed that frost formation and growth deteriorate their performance.”
Quote in the paperSubstantial claim - Premisecitation§ Chapter 2
Coils with variable fin spacing perform better than those with constant fin spacing.
“Neiderer (1976) and Gatchilov and Ivanova (1979) pointed out that coils with variable fin spacing performs better than those with constant fin spacing.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Neiderer (1976)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ Chapter 2
As air velocity increases, the frosting rate increases.
“For the effect of air velocity on frosting rate, Gatchilov and Ivanova (1979), Kondepudi and O'Neal (1989) and Rite and Crawford (1991) agreed that as the air velocity increases, the frosting rate increases.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Kondepudi and O'Neal (1989) source
- cites Rite and Crawford (1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ CHAPTER 3 3 Mathematical Models
Due to the variation of wall temperature and absolute humidity along the coil, the frost growth on the coil is non-homogeneous.
“Due to the variation of wall temperature and absolute humidity along the coil, the frost growth on the coil is non-homogeneous.”
Quote in the paperSubstantial claim - Premisenone given§ 2.4 Conclusions
The overall heat transfer coefficient decreases due to the increase in thermal resistance of the frost layer.
“The overall heat transfer coefficient decreases due to the increase in thermal resistance of frost layer.”
Quote in the paperSubstantial claim - Premisecitation§ 3.6.2 Frost layer side
Jones and Parker (1975) found that frost density and thickness converged to the same value when initial frost density was varied from 8 to 48 kg/m3.
“As for the density, they evaluate the effect of the initial value by changing the value from 8 to 48 kg/m 3 .They found that the frost density and thickness converged to the same value.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Jones and Parker (1975) source
- Premisecitation§ Chapter 2
With an increase of 53% in air velocity, the frost mass accumulated increased by 28% under Kondepudi and O'Neal (1989) conditions.
“With an increase of 53 % in air velocity, the frost mass accumulated increased by 28 %.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1989) source
- Premisecitation§ Chapter 2
A lower refrigerant temperature increases the amount of frosting.
“A lower refrigerant temperature increases the amount of frosting.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Stoecker (1957,1960)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ CHAPTER 3 3 Mathematical Models
The mathematical model is purely distributed and therefore applicable to various kinds of tube circuit arrangements of evaporator, not limited to the Carrier-type coil circuit.
“The mathematical model, however, does not limited to this type of configuration.Because the model is purely distributed, it is applicable to various kinds of tube circuit arrangements of evaporator.”
Quote in the paperNot a substantial claim - Premisecitation§ Chapter 2
Pressure drop across the coil and frost growth rate are higher when the air relative humidity is high and the coil surface temperature is low.
“Pressure drop across the coil and frost growth rate is higher when the air relative humidity is high and the coil surface temperature is low.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Stoecker (1957,1960)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 2.4 Conclusions
Frost growth is generally detrimental to heat transfer in heat exchangers.
“Frost growth is generally detrimental to heat transfer in heat exchangers.”
Quote in the paperSubstantial claim - Premisecitation§ Waters et al. (2001a, 2001b
The mass of frost accumulated on the evaporator increases with air relative humidity.
“The mass of frost accumulated on the evaporator increases with air relative humidity.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Tassou and Marquand (1987) source
- cites Ameen (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationnone given§ 4.3.3 Variation of frost, air and wall temperature inside coil
Higher air inlet temperature results in a higher temperature difference between the air and refrigerant.
“Higher air inlet temperature results in higher temperature difference between the air and refrigerant.”
Quote in the paperSubstantial claim - Interpretationnone given§ 4.3.3 Variation of frost, air and wall temperature inside coil
Frost acts as insulation to reduce heat transfer between the air and refrigerant.
“The frost acts as an insulation to reduce the heat transfer between the air and refrigerant.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 3.7 Permeation phenomena
As frost continues to grow, the frost surface temperature will gradually increase due to the insulation effect or low thermal conductivity of frost.
“As the frost continues to grow, the frost surface temperature will gradually increase due to the insulation effect or low thermal conductivity of frost.”
Quote in the paperNot a substantial claim - Premisecitation§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rate
The trend of change agrees well with existing experimental data.
“The trend of change is agreed well with the existing experimental data.(Senshu et al. (1990), Kondepudi and O'Neal 1993(b))”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Senshu et al. (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Kondepudi and O'Neal 1993(b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationnone given§ 4.3.3 Variation of frost, air and wall temperature inside coil
Air has higher moisture content for higher air temperature with the same relative humidity.
“This denotes that the air has higher moisture content for higher air temperature with same relative humidity.”
Quote in the paperSubstantial claim- Rests on an assumption: The humidity ratio is higher for a higher air temperature with the same relative humidity.
- Premisecitation§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
The finding that the location of the superheat region has the most effect on uniformity agrees with a control laboratory test.
“This phenomenon is agreed with control laboratory test where the location of superheat region had the most effect on uniformity (ASHRAE 2002).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites ASHRAE 2002
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
The insulation effect is more serious for higher humidity conditions.
“As a result, the insulation effect is more serious for higher humidity condition.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporator
Air passing through tubes with two-phase refrigerant is colder than air passing through tubes with single-phase refrigerant.
“the temperature for air passing through the tubes which refrigerant is in the two-phase section is colder than the air passing through the tube which refrigerant is in the single-phase section.”
Quote in the paperSubstantial claim - Interpretationown data§ 4.1.4 Selection of time step
Drift flux models are capable of predicting the actual performance of the evaporator.
“From the comparison of different flux model and experimental results, a conclusion can be made that drift flux models are capable to predict the actual performance of the evaporator.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
The insulation effect of frost reduces the total energy transfer rate.
“This insulation effect reduces the total energy transfer rate.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
Higher air moisture content is favorable for frost growth.
“Higher air moisture content is favorable for frost growth.”
Quote in the paperSubstantial claim - Interpretationnone given§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rate
Frost deposition and accumulation on the evaporator surface act as a thermal insulator between the surface and the humid ambient air.
“Frost deposition and accumulation on evaporator surface act as a thermal insulator between the surface and the humid ambient air.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.1.4 Selection of time step
The homogeneous model gives a shorter transient response period because it assumes equal velocity for both liquid and vapor.
“The homogeneous model gives a shorter transient response period because it assumes equal velocity for both liquid and vapor.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The homogeneous model assumes equal velocity for both liquid and vapor.
- Interpretationreasoning§ 4.1.4 Selection of time step
The discrepancy between predicted and experimental trends is because the input air temperature was kept constant at 14.5°C while in the actual experiment the input temperature gradually changed.
“The discrepancy is because the input air temperature was kept at constant 14.5 o C while in actual experimental, the input temperature gradually”
Quote in the paperSubstantial claim - Interpretationreasoning§ 3.5.1 Mass transfer in the frost layer
The water vapor diffusion inside the frost is smaller than that in the free air stream because of the increased path length in the frost layer.
“The water vapor diffusion inside the frost should be smaller than that in the free air stream because of the increased path length in the frost layer.”
Quote in the paperSubstantial claim- Rests on an assumption: The frost layer is a porous structure of air and ice, so the diffusion path is longer than in free space.
- Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coil
The rate of degradation of total energy transfer becomes more severe as more area is covered with frost.
“The reason is because as more area covered with frost, the rate of degradation becomes more severe.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 3.8 Numerical Solution
The position of liquid dry-out is critical in determining the selection of solution methodology.
“Therefore, the position of liquid dry-out-position is critical in determining the selection of solution methodology.”
Quote in the paperSubstantial claim - Premisecitation§ 4.3.3 Variation of frost, air and wall temperature inside coil
The trend of frost height is in agreement with reported experimental data of Aoki et al. (1991) for a four-row heat exchanger using brine.
“This trend is in agreement with reported experimental data of Aoki et al. (1991), for a heat exchanger with four rows using brine as the working fluid.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Aoki et al. (1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 4.5.1 Frost growth
Owing to the difference in wall temperature, the frost height decreases toward the fin tip.
“Owing to the difference in wall temperature, the frost height decreases toward the fin tip.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
The total energy transfer rate across the coil increases with higher air humidity.
“Therefore the total energy transfer rate across the coil increases.”
Quote in the paperSubstantial claim - Premisecitation§ 5.3.1 Field observation on air side
The trend of change in air pressure drop is consistent with results reported by Senshu et al. (1990) and Yan et al. (2003).
“The trend of change in air pressure drop is consistent with the results reported by other researchers such as Senshu et al. (1990) and Yan et al. (2003).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Senshu et al. (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Yan et al. (2003) source
- Interpretationreasoning§ 4.4.4 Effect of fin pitch on evaporator
The higher overall heat transfer coefficient for larger fin pitch is a consequence of the decrease of heat exchange area.
“This is a consequence of the decrease of the heat exchange area.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.5.2 Airside pressure drop across heat exchanger coil
Lower air flow area directly affects the airside condition by increasing the pressure drop across the coil.
“Lower air flow area directly affects the airside condition by increasing the pressure drop across the coil.”
Quote in the paperSubstantial claim - Premisereasoning§ 4.4.3 Effect of air mass flow rate on evaporator
The trend of higher air mass flow rate increasing energy transfer is similar to trends observed with a dry, unfrosted coil.
“This trend is similar to the trends which can be observed with a dry, unfrosted coil.”
Quote in the paperNot a substantial claim - Premisecitation§ 4.4.2 Effect of air relative humidity on frosted evaporator
The decreasing trend agrees with results reported by Kondepudi and O'Neal (1989) and Ameen (1993).
“This decreasing trend agrees with all the results reported by researchers such as Kondepudi and O'Neal (1989) and Ameen (1993).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Kondepudi and O'Neal (1989) source
- cites Ameen (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 4.5.2 Airside pressure drop across heat exchanger coil
Variables that affect frost growth such as refrigerant temperature, humidity and air temperature have influences on the airside pressure drop across the coil.
“Variables that affect the frost growth such as refrigerant temperature, humidity and air temperature have influences on the airside pressure drop across the coil.”
Quote in the paperSubstantial claim - Premisecitation§ 4.4.4 Effect of fin pitch on evaporator
Kondepudi and O'Neal (1990) reported experimental data based on a single-phase working fluid.
“Kondepudi and O'Neal (1990) reported their experimental data based on single-phase working fluid.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 5.3.1 Field observation on air side
The increase in pressure drop was caused by significant growth of frost along the coil.
“This increase in pressure drop was caused by the significant growth of frost along the coil.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
Higher latent energy transfer caused by higher air humidity leads to higher air outlet temperature.
“Higher latent energy transfer caused by higher air humidity leads to higher air outlet temperature.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.3.1 Field observation on air side
The hikes were due to the commencement of the artificial load generation system when the air temperature reached around 9.5°C to provide sufficient latent heat load.
“These hikes were due to the commencement of the artificial load generation system when the air temperature reaches around 9.5 o C, in order to provide the container with sufficient latent heat load for manipulating the moisture content inside the container.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.3.1 Field observation on air side
The fluctuations were due to the hunting behavior of the thermal expansion valve that endeavors to maintain refrigerant superheat at the coil exit.
“These fluctuations were due to the hunting behavior of the thermal expansion valve (TXV) that endeavors to maintain the refrigerant superheat at the coil exit.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporator
Higher air humidity translates into higher latent energy transfer.
“Higher air humidity translates into higher latent energy transfer.”
Quote in the paperSubstantial claim - Interpretationnone given§ 5.3.1 Field observation on air side
Formation of frost on the evaporator acts as insulation that leads to reduction of heat transfer from the air to the refrigerant.
“Formation of frost on the evaporator acts as insulation that leads to the reduction of heat transfer from the air to the refrigerant.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.3.3 Field observation of frost formation
Frost on the refrigerant inlet side occurred because the refrigerant inside the tube for the first few rows was still in the two-phase region and less refrigerant boiled off.
“This was due to the fact that the refrigerant inside the tube for the first few rows were still in the twophase region and less amount of refrigerant boils off.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.3.3 Field observation of frost formation
Frost starts to form at that location because of pressure reduction inside the refrigerant due to the 180 degree tube bend.
“and because of the pressure reduction inside the refrigerant due to the 180 degree tube bend.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.4.2 Energy transfer rate comparison
When frost begins to form and build up on the evaporator, it acts as an insulator to reduce energy transfer from air to refrigerant, causing energy transfer to decrease.
“When frost begins to form and build up on the evaporator, it acts as insulator to reduce energy transfer from air to refrigerant, which causes the energy transfer to decrease.”
Quote in the paperSubstantial claim - Premisecitation§ 6.2 Recommendations
During permeation, the frost layer undergoes a cycle of thinning and densification due to melting and subsequent formation on an icy sub layer at the top of the deposit.
“During this period, the frost layer undergoes a cycle of thinning and densification due to the melting and subsequent formation on an icy sub layer at the top of the deposit.”
Quote in the paperNot a substantial claim0 of 2 sources checked - Premisereasoning§ 5.4.1 Air side comparisons
The air side heat transfer coefficient is not only a function of geometry of evaporator, air properties and frost surface roughness, but also changes with time.
“The air side heat transfer coefficient is not only a function of the geometry of evaporator, air properties and frost surface roughness, but also changes with time.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.3.3 Field observation of frost formation
Frost starts to form at the end of the first row and beginning of the second row because of uneven air distribution, where less air was channeled to the side.
“The frost starts to form here because of the uneven air distribution, where less air was channeled to the side”
Quote in the paperNot a substantial claim- Rests on an assumption: Less air was channeled to the side of the coil, causing uneven air distribution.
- Interpretationnone given§ 6.1 Conclusions
Formation of frost degrades the performance of the heat exchanger.
“Formation of frost degrades the performance of the heat exchanger.”
- Also stated in: § 6.2 Recommendations · plain
“Formation of frost degrades the performance of the heat exchanger.”
Quote in the paperSubstantial claim - Also stated in: § 6.2 Recommendations · plain
- Premisereasoning§ 6.2 Recommendations
Structural changes in the frost layer during permeation tend to increase both frost density and thermal conductivity with time.
“This will result in structural changes in the frost layer that tends to increase both the frost density and thermal conductivity with time.”
Quote in the paperNot a substantial claim0 of 2 sources checked - Premisenone given§ 6.2 Recommendations
Only Sherif et al. (1993) and Le Gall et al. (1997) proposed models to account for the frost characteristic of partial melting and refreezing that occurs when the frost surface reaches 0 °C (permeation).
“While many research efforts have proposed different models of frost growth, only Sherif et al. (1993) and Le Gall et al. (1997) proposed model to account for the frost characteristic of partial melting and refreezing that occurs when the frost surface reaches 0 o C, which is known as permeation process.”
Quote in the paperNot a substantial claim0 of 2 sources checked - Interpretationreasoning§ 5.3.3 Field observation of frost formation
The faster growth on the first row occurred because frost formation and build-up increased insulation effect and reduced heat transfer.
“This phenomenon occurred because frost formation and built-up increased insulation effect and reduced the heat transfer.”
Quote in the paperSubstantial claim - Interpretationnone given§ 5.4.2 Energy transfer rate comparison
The condensate drip effect incurs additional mass onto the total frost mass.
“Firstly, the condensate drip effect incurs additional mass onto the total frost mass.”
Quote in the paperSubstantial claim - Premisereasoning§ 6.2 Recommendations
The varying local heat transfer coefficient results in an uneven air temperature distribution off the evaporator.
“This varying local heat transfer coefficient results in an uneven air temperature distribution off the evaporator.”
Quote in the paperSubstantial claim - Interpretationreasoning§ Additional information
Less heat exchange surface area leads to lower total energy transfer rate.
“Less heat exchange surface area leads to lower total energy transfer rate.”
Quote in the paperSubstantial claim- Rests on an assumption: Higher fin pitch has lower overall heat exchange surface area.
- Interpretationreasoning§ Additional information
The discrepancy in frost formation timing is because in simulation the air flow is assumed to be evenly distributed whereas the flow is uneven in practice.
“This is because in simulation, the air flow is assumed to be evenly distributed whereas the flow is uneven in practice.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: In the simulation, the air flow is assumed to be evenly distributed.
- Study design and conductnone given§ 6.2 Recommendations
In general, the simulated results from the model presented compare well with what has been reported by other investigators.
“In general, the simulated results from the model presented compare well with what reported by other investigators.”
Quote in the paperNot a substantial claim - Study design and conductnone given§ Additional information
The uncertainty of energy transfer rate is estimated to be within ±6%.
“The uncertainty of energy transfer rate is estimated to be within ± 6 %.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.2 Recommendations
A decrease in air mass flow rate results in an increase in the frosting rate.
“A decrease in air mass flow rate results in an increase in the frosting rate.”
Quote in the paperSubstantial claim - Premisecitation§ 6.2 Recommendations
The Lewis relation, where Le is close to unity, is nearly true for air and water vapor at low mass transfer rates.
“Lewis relation, where Le is closed to unity, is nearly true for air and water vapor at low mass transfer rates.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites ASHRAE 2001
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ Additional information
The growth and densification of frost act as an insulation that reduces the heat transfer between air and refrigerant.
“The growth and densification of frost act as an insulation that reduces the heat transfer between air and refrigerant.”
Quote in the paperSubstantial claim - Interpretationnone given§ 6.2 Recommendations
As frost height gets higher, the air flow area through the evaporator coil gets smaller.
“As the frost height gets higher, the air flow area through the evaporator coil get smaller.”
Quote in the paperSubstantial claim - Interpretationnone given§ 6.2 Recommendations
The variations of air and wall temperature have significant influences on the frost deposition on the evaporator.
“The variations of air and wall temperature have significant influences on the frost deposition on the evaporator.”
Quote in the paperSubstantial claim - Interpretationnone given§ 6.2 Recommendations
The air and wall temperature vary along the tubes and coil which lead to nonuniform frost growth along coil.
“The air and wall temperature vary along the tubes and coil which lead to nonuniform frost growth along coil.”
Quote in the paperSubstantial claim - Interpretationreasoning§ Additional information
Lower energy transfer rate causes the wall surface temperature to be lower as compared to higher fin density.
“Lower energy transfer rate causes the wall surface temperature to be lower as compared to higher fin density.”
Quote in the paperSubstantial claim
- May combine two claims. 139
- The quote only partly states this claim. 3
- Classified as probably not a substantial claim. 69
May combine two claims.
Premisecitation§ 3.3 Governing Equation for Tube Wall SideWang and Chi (2000) air-side heat transfer correlation can predict 88.6% of the test points within ±15%, with a mean deviation of 7.51%.
“Wang and Chi (2000) correlated the air side heat transfer coefficients, U o , from a total of 74 test cores.The proposed heat transfer correlation can predict 88.6% of the test points within ± 15%, with a mean deviation of 7.51%.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Wang and Chi (2000) source
The Results and discussion (p. 7) report that the heat-transfer correlation describes 88.6% of j factors within 15%, supporting that part of the claim. They give a mean deviation of 7.53%, as do the Conclusions (p. 8), rather than the claimed 7.51%. (LLM, conf=0.85)
Experimental — accuracy not yet measured
May combine two claims.
Findingown data§ AbstractThe air outlet and energy transferred compare well between experiment and model.
“The air outlet and energy transferred compare well between experiment”
Quote in the paperSubstantial claimMay combine two claims.
Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilAir pressure drop is highest for the 7°C condition at 9 Pa, followed by 5°C at 6.8 Pa and 3°C at 5.8 Pa.
“From Fig 4.25, it can be seen that the air pressure drop is highest for 7 o C condition with pressure drop of 9 Pa, followed by 5 o C of 6.8 Pa and 3 o C of 5.8 Pa.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 4.1.4 Selection of time stepThe three drift flux models give almost the same predictions, while the homogeneous flow model predicts a larger two-phase flow region than the drift flux models.
“From the graph, it can be shown that the three drift flux models give almost the same predictions while homogeneous flow model predicts a larger two-phase flow region than the drift flux models.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporatorThe more rows flooded by two-phase flow, the lower the air temperature difference; that is, lower superheat gives more uniform air temperature off the coil.
“It is also observed that the more rows flooded by the two-phase flow, the lower the air temperature difference would be resulted, i.e., the lower the superheat, the more uniform air temperature off the coil may be obtained.”
Quote in the paperSubstantial claimMay combine two claims. The quote only partly states this claim.
Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilThe frost height at 3600 s is highest for the first row at the refrigerant inlet, followed by the second and third rows.
“The frost for the first row at the refrigerant inlet is the highest, followed by the second and third row.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 4.1.4 Selection of time stepThe drift flux models predict results close to experimental data, but the experimental data show a continuous decrease trend.
“The drift flux models predict the result close to the experimental data but the experimental data shows continuous decrease trend.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilThe total energy transfer rate for inlet temperature 3°C decreases from 10.59 kW to 10.40 kW, for 5°C from 10.75 kW to 10.65 kW, and for 7°C from 10.87 kW to 10.81 kW.
“From Fig. 4.21, the total energy transfer rate for inlet temperature of 3 o C decreases more from 10.59 kW to 10.40 kW as compared to 5 o C, from 10.75 kW to 10.65 kW, and 7 o C, from 10.87 kW to 10.81 kW.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Findingown data§ 4.3.3 Variation of frost, air and wall temperature inside coilCells 180 and 221 are not represented because their wall temperatures are above the freezing point and no frost is formed.
“Note that cells 180 and 221 are not represented, because the wall temperatures of these cells are above the freezing point and hence no frost is formed.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 4.3.3 Variation of frost, air and wall temperature inside coilThe wall temperature at the first row where the refrigerant enters is the lowest and it increases in the following rows.
“The wall temperature at the first row where the refrigerant enters is the lowest and it increases in the following rows.”
Quote in the paperSubstantial claimMay combine two claims.
Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilAll three air inlet temperature conditions show an increase trend with an average temperature of 0.2°C by the end of the simulation.
“All the three conditions show an increase trend with an average temperature of 0.2 o C by the end of the simulation.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Findingnone given§ 3.8 Numerical SolutionThe liquid dry-out position is unknown beforehand and varies with time.
“However, the liquid dry-out position is unknown beforehand and varies with time.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 4.1.4 Selection of time stepThe drift flux models Chisholm, CISE and Smith give results close to each other and to experimental data compared with the homogeneous model.
“From this figure, it can be seen that the results of drift flux models, namely Chisholm, CISE and Smith model, are close to each other and experimental data as compared with the homogeneous model.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 4.2.2 Effect of refrigerant liquid dry-out position and air temperature distribution inside the evaporatorCells 161 to 175 on the fifth row are in two-phase flow, while the rest of the cells on the fifth row are in single-phase flow.
“This implies that the cell no 161 to 175 on the fifth row are in two-phase Air inlet T a ( o C) while the rest of the cells on fifth row are in single-phase.”
Quote in the paperSubstantial claimMay combine two claims.
Findingreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilHigher air inlet temperature implies less frosted area and higher total energy transfer rate.
“This also implies that higher air inlet temperature has less frosted area (Fig. 4.20) and higher total energy transfer rate (Fig. 4.21).”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 4.3.3 Variation of frost, air and wall temperature inside coilFrost accumulation is highest for inlet air condition of 7°C with 3.15 kg, followed by 5°C with 2.83 kg and 3°C with 2.36 kg.
“From Fig. 4.23, the frost accumulation is highest for inlet air condition of 7 o C with 3.15 kg of frost accumulated, followed by 5 o C with 2.83 kg and 3 o C with 2.36 kg of frost accumulated.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 4.6 ConclusionThe temperature along the fin varies and causes uneven frost growth.
“The temperature along fin varies and this causes uneven frost growth.”
Quote in the paperSubstantial claimMay combine two claims.
Findingreasoning§ 5.3.1 Field observation on air sideThe air inlet temperature continues to decrease while the air inlet humidity increases.
“The air inlet temperature continues to decrease while the air inlet humidity increases.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporatorThe total energy transfer rate for 70% RH decreases from 10.76 kW to 10.59 kW, for 60% RH from 10.75 kW to 10.65 kW, and for 50% RH from 10.73 kW to 10.65 kW.
“The total energy transfer rate for 70 % RH decreases more from 10.76 kW to 10.59 kW as compare to 60 % RH, from 10.75 kW to 10.65 kW, and 50 % RH, from 10.73 kW to 10.65 kW.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone given§ 4.4.4 Effect of fin pitch on evaporatorAlthough frost height for larger fin pitch is higher, the air flow area is still larger for larger fin pitch.
“Although the frost height for larger fin pitch is higher, the air flow area is still larger for larger fin pitch.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 4.4.4 Effect of fin pitch on evaporatorFor fin pitch 4.23 mm/fin, air outlet temperature increases from -2.58°C to -2.35°C; for 2.54 mm/fin, it increases from -2.87°C to -2.69°C.
“The fin pitch of 4.23 mm/fin increases from -2.58 o C to -2.35 o C while for 2.54 mm/fin, the air outlet temperature increases from -2.87 o C to -2.69 o C.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.3.1 Field observation on air sideThe mass flow rate of refrigerant was rather constant at around 0.075 kg/s for all three observations and started fluctuating at approximately 10700 s for observation 1, 10830 s for observation 2, and 10350 s for observation 3.
“The mass flow rate of refrigerant was rather constant at around 0.075 kg/s for all three observations, and starts fluctuating at approximately 10700 s for observation 1, 10830 s for observation 2 and 10350 s for observation 3.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 5.3.1 Field observation on air sideThe air outlet temperature continues to decrease until it reaches around -3.9°C for observation 1, -4.0°C for observation 2, and -3.5°C for observation 3 at the end of the test.
“The air outlet temperature continues to decrease until it reaches around -3.9 o C for observation 1, around -4.0 o C for observation 2 and around -3.5 o C for observation 3 at the end of the test.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 5.3.1 Field observation on air sideThe air outlet temperature increases at around 2950 s for observation 1, 2730 s for observation 2, and 1830 s for observation 3, when the artificial load generator was initiated.
“The air outlet temperature increases at around 2950 s for observation 1 (Fig. 5.6 (a)), around 2730 s for observation 2 (Fig. 5.6 (b)) and around 1830 s for observation 3 (Fig. 5.6 (c)), when the artificial load generator was initiated.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 5.3.1 Field observation on air sideAfter 8500 s, a minimum air inlet temperature around 2.5°C existed for all three observations, probably due to frost blockage reducing air flow and heat transfer.
“It can be observed on the air inlet temperature for all three observations that, after 8500 s, there was a minimum temperature existing around 2.5 o C, probably due to the frost blockage that reduces air flow and heat transfer.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 4.4.4 Effect of fin pitch on evaporatorThe average frost height for the first row is slightly higher and more rows are covered with frost for the larger fin pitch condition.
“the average frost height for the first row is slightly higher and more rows are covered with frost for condition with larger fin pitch.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 4.5.1 Frost growthThe frost height at the fin base is 0.315 mm and at the fin tip is 0.239 mm.
“The frost height at fin base is 0.315 mm and frost height is 0.239 mm at fin tip.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 5.3.1 Field observation on air sideThere was a hike in air relative humidity and the rate of decrease of air inlet temperature reduced at around 2950 s for observation 1, 2730 s for observation 2, and 1830 s for observation 3.
“There was a hike in the air relative humidity and the rate of decrease for air inlet temperature reduced at around 2950 s for observation 1 (Fig. 5.4 (a)), around 2730 s for observation 2 (Fig. 5.4 (b)) and around 1830 s for observation 3 (Fig. 5.4 (c)).”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 4.5.1 Frost growthThe fin surface temperature is colder at the base at -8.38°C and -7.27°C at the fin tip.
“The fin surface temperature is colder at base with temperature of -8.38 o C and -7.27 o C at fin tip.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 4.4.4 Effect of fin pitch on evaporatorTotal frost mass accumulated is 2.93 kg for 4.23 mm/fin, 2.57 kg for 2.54 mm/fin, and 2.83 kg for the base 3.18 mm/fin.
“The total frost mass accumulated for condition of 4.23 mm/fin (6 fpi) is 2.93 kg while for lower fin pitch of 2.54 mm/fin (10 fpi), the total frost accumulated is 2.57 kg.The base condition of 3.18 mm/fin (8 fpi) has a total frost accumulated of 2.83 kg.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.4.1 Air side comparisonsThere is close agreement between experiment and model prediction with frost formation, with the model under-predicting air outlet temperature by approximately 1 to 2 °C for all three observations.
“There is also close agreement between the experiment and model prediction with frost formation, with the model under-predicting the air outlet temperature by approximately 1 to 2 o C for all three observations.”
Quote in the paperSubstantial claimMay combine two claims.
Findingnone given§ 6.2 RecommendationsThe model for air pressure drop across the air cooler matched closely with experiment for single row but not for air cooler greater than one row.
“The model for air pressure drop across the air cooler matched closely with experiment for single row but not for air cooler greater than one row.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonEnergy transfer begins to fluctuate at 10700 s for observation 1, around 10800 s for observation 2, and around 10300 s for observation 3 with hunting of the TXV.
“The energy transfer begins to fluctuate at 10700 s for observation 1, around 10800 s for observation 2 and around 10300 s for observation 3 with hunting of the TXV, as described earlier in section 5.3.2.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonAt 9840 s, simulated result shows frost covers the fifth row with an average height of 0.4 mm for observation 1, but in the field only four rows are covered with frost.
“At 9840 s, the simulated result shows frost covers the fifth row with an average height of 0.4 mm for observation 1, but in the field, only four rows are covered with frost.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 6.2 RecommendationsThe heat transfer coefficient employed in the model predicts well for non frost condition but starts to deviate when frost starts to form.
“The heat transfer coefficient employed in the model predicts well for non frost condition but starts to deviate when frost starts to form.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationClear vision of frost was observed on the entrance of the third row around 6000 s and frost propagated toward the end of the third row by 7700 s for first observation.
“Clear vision of frost was observed on the entrance of the third row around 6000 s and the frost propagates toward the end of third row by 7700 s for first observation.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonFrom field observation, frost covers the first three rows at around 7700 s for first observation, but simulated result shows frost appearing at the fourth row with an average frost height of around 0.25 mm.
“From the field observation, the frost covers the first three rows at around 7700 s for the first observation but the simulated result shows frost appearing at the fourth row with an average frost height of around 0.25 mm.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationIn second and third observations, frost was seen around 4200 s and 4500 s, and first and second rows were covered with frost around 5600 s and 6000 s.
“In second and third observation, frost was seen around 4200 s and 4500 s and first and second rows were covered with frost around 5600 s and 6000 s.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonThe total amount of condensate collected after the experiment is 8.28 kg, 8.49 kg, and 8.82 kg for observations 1, 2, and 3.
“The total amount of condensate collected after the experiment is 8.28 kg, 8.49 kg and 8.82 kg for observation 1, 2 and 3.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationFrost was seen on fins at the refrigerant inlet side at around 4300 s for observation 1, and by 5900 s the first and second rows were covered with frost.
“Frost was seen on fins at the refrigerant inlet side at around 4300 s for observation 1, and by 5900 s, the first and second rows were covered with frost.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingreasoning§ 5.3.3 Field observation of frost formationAt the same time, frost on the first and second rows continued to grow, with growth on the first row faster than on the second row.
“At the same time, frost on the first and second rows continued to grow with growth on the first row faster than that of the second row.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.1 Air side comparisonsThe trend of pressure drop increasing with frost growth is true for both simulation and experiment and is consistent with other researchers.
“The trend of pressure drop increasing with frost growth is found to be true for both cases and consistent with other researchers as mentioned in section 5.3.1.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.1 Air side comparisonsWhen frost height starts to grow and cause air pressure drop to increase, predicted values deviate to a maximum of around 22% and then closer again to approximately 7% at the end.
“When frost height starts to grow and cause the air pressure drop to increase, the predicted values deviates to a maximum value of around 22 % and then closer again to approximately 7 % at the end.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonThe difference between predicted and actual frost mass is 2.15 kg, 1.87 kg, and 2.09 kg, or approximately 25% less than the actual amount.
“The difference is 2.15 kg, 1.87 kg and 2.09 kg or approximately 25 % less than the actual amount.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationAt the time of the first frost observation, the refrigerant pressure was 264.6 kPa and the refrigerant temperature was -4.6 °C.
“The refrigerant pressure was 264.6 kPa with refrigerant temperature of -4.6 o C.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.5 ConclusionsFor this counter flow arrangement, model and experimental results are agreeable on the propagation of frost from the first row at the refrigerant inlet to subsequent rows, as well as that the first row has the highest frost accumulation.
“For this counter flow arrangement, model and experimental results are agreeable on the propagation of frost from the first row at the refrigerant inlet to subsequent rows, as well as that the first row having the highest frost accumulation.”
- Also stated in: § 6.1 Conclusions · plain
“For this counter flow arrangement, model and the data collected are agreeable on the propagation of frost from the first row at the refrigerant inlet to subsequent rows, as well as that the first row having the highest frost accumulation.”
Quote in the paperSubstantial claim- Also stated in: § 6.1 Conclusions · plain
May combine two claims.
Findingown data§ 5.4.1 Air side comparisonsFor second observation, air pressure drop starts to deviate around 7200 s to a maximum of around 20% and approximately 10% at the end.
“For second observation, the air pressure drop starts to deviate around 7200 s to a maximum of around 20 % and approximately 10 % at the end.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 6.1 ConclusionsTemperature along the fin varies and causes uneven frost growth.
“The temperature along fin varies and this causes uneven frost growth.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 5.4.1 Air side comparisonsAir outlet temperatures begin to deviate at around 5400 s for first observation, 5300 s for second observation, and 5800 s for third observation, where the first row and most of the second row are covered with frost.
“the temperatures begin to deviate at around 5400 s for first observation, 5300 s for second observation and 5800 s for third observation, where the first row and most of the second row are covered with frost.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.1 Air side comparisonsFor third observation, air pressure drop starts to deviate around 7200 s to a maximum of around 20% and approximately 10% at the end.
“As for third observation, it starts to deviate around 7200 s to a maximum of around 20 % and approximately 10% at the end.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonThe energy transferred to refrigerant has good agreement between field observation and model with differences within ±3%, although the uncertainty in the experiment is within ±6%.
“The energy transferred to refrigerant has good agreement between the field observation and model with differences within ± 3 %, although the uncertainty in the experiment is within ± 6 %.”
- Also stated in: § 6.1 Conclusions · plain
“The energy transferred to refrigerant has good agreement between the collected data and model with differences within ± 3 %, although the uncertainty in the experiment is within ± 6 %.”
Quote in the paperSubstantial claim- Also stated in: § 6.1 Conclusions · plain
May combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonFor second and third observations, at around 7600 s and 7800 s, frost covers the first three rows, but simulated results show frost on the fourth row with average frost heights of 0.3 mm and 0.27 mm.
“Similarly for the second and third observation where at around 7600 s and 7800 s, frost covers the first three rows but the simulated results shows frost on forth row with average frost height of 0.3 mm and 0.27 mm.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationFins for the fourth row were covered with frost by 9840 s for observation 1, 9700 s for observation 2, and 9900 s for observation 3.
“The fins for the fourth row were covered with frost by 9840 s for observation 1, 9700 s for observation 2 and 9900 for observation 3.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationSecond and third observations showed signs of frost at the entrance of the third row around 5900 s and 6300 s and covered the third row at around 7600 s and 7800 s.
“Second and third observation also showed sign of frost at the entrance of third row around 5900 s and 6300 s and covered the third row at around 7600 s and 7800 s.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.3.3 Field observation of frost formationFrost progressively builds up at the end of the first row/beginning of the second row and eventually blocks the fin gaps at around 5900 s for observation 1, 5600 s for observation 2, and 6000 s for observation 3.
“The frost progressively builds up at this area and eventually blocks the fin gaps at around 5900 s for observation 1, 5600 s for observation 2 and 6000 s.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonSimulated results based on second and third observations show similar condition with average frost heights of 0.54 mm and 0.55 mm, but only four rows are observed covered with frost.
“The simulated results based on second and third observation shows similar condition with average frost height of 0.54 mm and 0.55 mm but only four rows are observed covering with frost.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 5.4.2 Energy transfer rate comparisonThe first row has the highest frost growth rate, as found in both experimental and model results and consistent with experimental data of Aoki et al (1991).
“where the first row has the highest frost growth rate is found to be true for both experimental and model and is consistent with experimental data of Aoki et al (1991).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Aoki et al (1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Findingown data§ 6.2 RecommendationsThe air outlet temperature compares well with model results for non-frosting condition, but for the frosting condition the deviation increases slowly to 2°C at the end of field investigation.
“d) The air outlet temperature compares well with model results for non-frosting condition, but for the frosting condition, the deviation increases slowly to 2 o C at the end of field investigation.”
- Also stated in: § 6.2 Recommendations · hedged
“d) The air outlet temperature compares well with model results for non-frosting condition, but for the frosting condition, the deviation increases slowly to around 1 -2 o C toward the end of the field observation.”
Quote in the paperSubstantial claim- Also stated in: § 6.2 Recommendations · hedged
May combine two claims.
Findingown data§ Additional informationThe wall temperature is colder at the refrigerant inlet and increases as it moves toward the outlet point.
“The wall temperature is colder at the refrigerant inlet and increases as it moves toward the outlet point.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsFrost height varies within a row and also within a coil.
“Fig.4.19, which shows that the frost height varies within a row and also within a”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsFrost accumulation is highest for 0.75 kg/s with 3.07 kg, followed by 1.14 kg/s with 2.83 kg and 1.5 kg/s with 2.41 kg.
“From Fig.4.35, the frost accumulation is highest for condition 0.75 kg/s with 3.07 kg of frost, followed by 1.14 kg/s with 2.83 kg and 1.5 kg/s with 2.41 kg of frost accumulated.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsFor higher fin pitch of 4.23 mm/fin (6 fpi), frost covers 169 cells and propagates to cell 205; lower fin pitch of 2.54 mm/fin (10 fpi) has lowest frost coverage among the three, covering only 132 cells and progressing to cell 163.
“For higher fin pitch of 4.23 mm/fin (6 fpi), the frost covers 169 cells and propagate to cell 205.The lower fin pitch of 2.54 mm/fin (10 fpi) has lowest frost coverage among the three where the frost covers only 132 cells and progress to cell 163.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsFor lower air mass flow rate of 0.75 kg/s, frost formation covers 190 cells initially and propagates to 231 cells by the end of 3600 s; for 1.14 kg/s, frost increases from 147 to 180 cells; for 1.5 kg/s, frost increases from 129 to 155 cells.
“Fig. 4 . 32, the frost formation covers 190 cells initially and propagates to 231 cells by the end of 3600 s for lower air mass flow rate of 0.75 kg/s.For the condition where the air mass flow rate is 1.14 kg/s, the frost increases from 147 cells to 180 cells and for higher air mass flow rate of 1.5 kg/s, the frost covers least cell where it increases from 129 to 155 cells by the end of 3600 s.”
Quote in the paperSubstantial claimMay combine two claims.
Findingreasoning§ Additional informationFrom field observation, frost begins to form at both ends of the first row before 4500 s, but the simulated result shows frost formation at around 5000 s.
“From field observation, the frost begins to form at both ends of first row before 4500 s but the simulated result shows frost formation at around 5000 s.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsAir pressure drop for 70% RH is 13.7 Pa, for 60% RH is 6.8 Pa and for 50% RH is 3.8 Pa.
“From Fig4.31, it can be seen that the air pressure drop for 70 % RH is 13.7 Pa, for 60 % RH is 6.8 Pa and for 50 % RH, the air pressure drop is 3.8 Pa.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsTotal frost mass predicted is 0.46 kg as compared to 0.43 kg from experiment, with a discrepancy of 7%.
“(i) Total frost mass predicted is 0.46 kg as compared to 0.43 kg from experiment with discrepancy of 7 %.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingnone given§ 6.2 RecommendationsThe TXV responds to its set-point by increasing the refrigerant mass flow.
“TXV set-point and therefore, the TXV responds by increasing the refrigerant mass flow.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsFor 50% RH, frost covers 157 cells and increases to 179 cells; for 60% RH, it increases from 147 to 180 cells; for 70% RH, it covers from 138 cells and increases to 191 cells by the end of 3600 s.
“For condition of 50 % RH, the frost covers 157 cells and increases to 179 cells, for 60 % RH, increases from 147 cells to 180 cells and for 70 % RH, the frost covers from 138 cells and increases to 191 cells by the end of the 3600 s.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Findingnone given§ Additional informationThe frost continues to grow in height and increase in density with time.
“The frost continues to grow in height and increase in density with time.”
Quote in the paperNot a substantial claimThe quote only partly states this claim.
Findingown data§ 6.2 RecommendationsAt 3600 s, the liquid dry-out position occurs at cell 180.
“from Fig. 4.10, the liquid dry out position occurs at cell 180.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ 6.2 RecommendationsThe number of cells covered with frost increased from 175 to 207 cells for 3 °C, from 147 to 180 cells for 5 °C and from 122 to 156 cells for 7 °C.
“The number of cells covered with frost increased from 175 to 207 cells for 3 o C, from 147 to 180 cells for 5 o C and from 122 to 156 cells for 7 o C as shown in Fig.4.20.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown data§ Additional informationThe calculated frost height at cell 1 is 0.315 mm and at cell 40 it is 0.29 mm, with a difference of about 7.9%.
“The calculated frost height at cell 1 is 0.315 mm and at cell 40, it is 0.29 mm.It is found that the difference is about 7.9 %.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown data§ Additional informationThe calculated wall temperature at cell 1 is -8.38°C and at exit cell 40 is -8°C.
“The calculated wall temperature at cell 1 is -8.38 o C and at exit cell 40 is -8 o C.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Findingnone given§ Additional informationThe evaporating refrigerant pressure reduces as the air temperature reduces.
“The evaporating refrigerant pressure reduces as the air temperature reduces.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingnone given§ 6.2 RecommendationsFor inlet air temperatures of 3 °C and 5 °C, although more rows are covered with frost compared with 7 °C, the frost height is lower than that of 7 °C.
“The inlet air condition of 3 o C and 5 o C, although have more rows covered with frost as compared with 7 o C condition, the frost height is lower than that of 7 o C condition.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingcitation§ Additional informationThe linear trend of frost mass accumulation is consistent with results in Kondepudi and O'Neal (1993) and other researchers.
“This linear trend is consistent with results in Kondepudi and O'Neal (1993) and other researchers.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Findingnone given§ 6.2 RecommendationsThe fluctuation caused by this increase and decrease of refrigerant mass flow was aggravated when frost growth continues.
“The fluctuation caused by this increase and decrease of refrigerant mass flow was aggravated when frost growth continues.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisecitation§ Chapter 2Pressure drop across the heat exchanger increases with frost and is the most important factor affecting heat exchanger performance.
“The pressure drop across the heat exchanger increases with frost and is the most important factor affecting the heat exchanger performance.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Stoecker (1957,1960)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ 2.2 Frost GrowthAbdel-Wahed et al. and Lee and Ro found no sign of a critical Reynolds number.
“Abdel-Wahed et al. (1984) took their data for the range of Reynolds number from 3000 to 140000 while Lee and Ro (2001) range from 10430 to 18200, but both results showed no sign of critical Reynolds number.”
Quote in the paperNot a substantial claim0 of 2 sources checkedMay combine two claims.
Premisenone given§ 2.2 Frost GrowthFrost growth increases with a decrease in temperature of the heat transfer surface and with an increase in humidity of the air flowing across the surface.
“Frost growth increases with a decrease in temperature of the heat transfer surface and with an increase in humidity of the air flowing across the surface.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisenone given§ 2.1 Frost PropertyFrost density depends on the structure of the frost layer and is affected by environmental parameters such as temperature, diffusion and deposition of water vapor within the frost layer.
“The frost density is dependent on the structure of the frost layer; therefore, it is affected by the environmental parameters such as temperature, diffusion and deposition of the water vapor within the frost layer.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ List of FiguresWhen the evaporator heat transfer rate is reduced, the evaporator temperature and suction pressure drop.
“When the evaporator heat transfer rate is reduced, the evaporator temperature drops and suction pressure drops.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ 2.2 Frost GrowthAt higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.
“Luer and Beer (2000) also observed that at higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Luer and Beer (2000) source
May combine two claims.
Interpretationreasoning§ 2.1 Frost PropertyTwo frost layers with identical density may have different thermal conductivity due to different frost layer structure, and the shape and orientation of ice crystals could affect thermal conductivity.
“It may also imply that two frost layers with identical density may have different thermal conductivity due to different frost layer.The shape and orientation of the ice crystals within the frost layer structure could affect the thermal conductivity as well.”
Quote in the paperSubstantial claimMay combine two claims.
Premisecitation§ Chapter 2Frost growth restricts air flow in the heat exchanger and insulates the heat exchanger surface; the overall heat transfer coefficient decreases as frost continues to grow.
“The growth of frost restricts air flow in the heat exchanger and also insulates the heat exchanger surface.The overall heat transfer coefficient decreases as the frost continues to grow.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Stoecker (1957,1960)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 2.1 Frost PropertyThe observed frost crystal structure depends on temperature.
“Table 2.2 summarizes the observed frost crystal structure as a function of temperature (Mason and Hallet, 1971)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Mason and Hallet, 1971
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Premisereasoning§ List of FiguresAs frost grows, it blocks the air flow passage, decreasing the air flow area and increasing pressure drop across the coil.
“As the frost grows, it acts to block the air flow passage.This blockage causes decrease in the air flow area and result in higher pressure drop across the coil and hence affects the fan system characteristics.”
Quote in the paperSubstantial claimMay combine two claims.
Premisereasoning§ List of FiguresDuring defrosting, power consumption still occurs, melting frost without cooling capacity, and frequent or long defrosting cycles increase energy consumption and decrease system efficiency.
“During the defrosting cycle, it is noted that power consumption still occurs, melting the frost on the evaporator without cooling capacity.Frequent or long defrosting cycles cause the energy consumption to increase and the system efficiency to decrease.”
Quote in the paperSubstantial claimMay combine two claims.
Premisecitation§ List of FiguresDefrost using hot gas or electric heater supplies heat to raise the air cooler temperature above freezing, and only 15% to 20% of the supplied heat is actually used for defrosting while the rest is lost.
“Niederer (1976) indicated that only 15% to 20% of the heat supplied was actually carried out for defrosting while the rest of the heat input increased the temperature of the air cooler and it was lost to the surrounding enclosure.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Niederer (1976)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Premisereasoning§ 2.3 Finned-Tube Heat ExchangerThe humidity of air flow through the evaporator decreases along the flow direction due to mass transfer to the fin surface, causing non-uniform frost thickness on the fins.
“The humidity of the air flow through the evaporator decreases along the flow direction due to the mass transfer to the fin surface.This phenomenon causes non-uniform frost thickness on the fins.”
Quote in the paperSubstantial claimMay combine two claims.
Premisecitation§ List of FiguresDesigns of refrigeration systems currently used in industry often oversize the coil by about 50% compared to the no-frost case, while average energy input is 25% greater than the same system with no frost accumulation.
“To cater for the capacity lost due to frost accumulation, designs of refrigeration systems currently used in the industry often oversize the coil by about 50% as compare to the case of no frost, while the average energy input is 25% greater than the same system with no frost accumulation (Chen et al. 2002).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chen et al. 2002
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationreasoning§ List of FiguresThe reduction in airflow and increased thermal resistance reduce the heat energy extracted by the evaporator and decrease system capacity and efficiency.
“The reduction in airflow and increased thermal resistance reduce the heat energy extracted by the evaporator and decrease the system capacity and efficiency.”
Quote in the paperSubstantial claimMay combine two claims.
Premisenone given§ 2.1 Frost PropertyIf the frost surface reaches 0°C, condensation occurs at the surface, and the condensate soaks into the frost layer and freezes, affecting porosity, density, thermal conductivity and water vapor migration.
“If the temperature of the frost surface reaches 0 o C, condensation occurs at the surface.This condensate soaks into the frost layer and freeze.It will affect the porosity, density, thermal conductivity and the water vapor migration in the frost layer.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim. May combine two claims.
Premisenone given§ 2.2 Frost GrowthIn frost formation and densification, water vapor from the air flow is transferred to the frost layer; some deposits on the frost surface to make it thicker while the rest moves into the frost layer making it denser.
“In the process of frost formation and densification, water vapor from the air flow is transferred to the frost layer.Some of the water vapor deposits on the frost surface to make the frost layer thicker while the rest of the water vapor moves into the frost layer which result in the frost layer become denser.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 2.2 Frost GrowthData from Yamakawa et al. suggested a critical Reynolds number above which velocity has no effect, appearing to lie between 12000 and 18000.
“Data from other investigators such as Yamakawa et al. (1972) suggested that there is a critical Reynolds number above which the velocity has no effect.This critical number appears to lie between 12000 and 18000.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Yamakawa et al. (1972)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
Premisecitation§ 2.2.1 Modeling of Frost growthThe total mass of water vapor diffusing into the frost layer approximately half goes to increase frost density and half goes to increase thickness of the frost layer.
“White and Creamers (1981) suggested that the total mass of water vapor which diffuses into the frost layer approximately half of it goes to increase frost density and the other half goes to increase thickness of the frost layer.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites White and Creamers (1981)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Premisenone given§ 2.1 Frost PropertyFrost thermal conductivity and density are two properties that have major effects on heat transfer and frost growth calculations.
“Frost thermal conductivity, k fst , and density, ρ fst , are two properties that have major effects on the heat transfer and frost growth calculations.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ 2.2 Frost GrowthO'Neal and Tree found a critical Reynolds number of about 15900, above which Reynolds number had no effect on frost growth but below which there was a strong dependence on Reynolds number.
“O'Neal and Tree (1984) found that there was a critical Reynolds number of about 15900, above which the Reynolds number had no effect on frost growth but below which there was a strong dependence on Reynolds number.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites O'Neal and Tree (1984)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationreasoning§ List of FiguresCorrelating frost data with seven or more independent variables is very difficult, and for humidity and temperature the uncertainty is large, causing poor reliability of correlations.
“Correlating such frost data with seven or more independent variables would be very difficult and for some variables such as humidity and temperature, the uncertainty is large.This could cause poor reliability of correlations.”
Quote in the paperSubstantial claimMay combine two claims.
Premisenone given§ 2.1 Frost PropertyIf the wall initial temperature is very low such as -40°C, frost with hollow prism crystals initially forms; as frost growth progresses, the surface temperature approaches 0°C, causing new frost with a different structure on top of the existing frost.
“If the wall initial temperature is at a very low temperature such as -40 o C, the frost with hollow prisms crystals will initially form at that temperature.As frost growth progresses, the surface temperature would eventually approach 0 o C.This will cause new frost with a difference structure than the initial frost forming on the top of the existing frost.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Premisenone given§ List of FiguresThere are seven or more independent operating and design variables for heat exchangers with frost growth: time, coil depth, coil surface temperature, air supply temperature, humidity, air velocity and coil geometry.
“There are seven or more independent operating and design variables for heat exchangers with frost growth, namely, time, coil depth, coil surface temperature, air supply temperature, humidity, air velocity and coil geometry.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Premisereasoning§ 2.3 Finned-Tube Heat ExchangerThe complex surface geometry of the heat exchanger, thermodynamic properties of refrigerant flow in the tubes and thermodynamic properties of humid air make the problem very complex and a complete general model difficult to formulate.
“The complex surface geometry of the heat exchanger, thermodynamic properties of refrigerant flow in the tubes and the thermodynamic properties of humid air complicate the matter further.In view of this, the problem becomes very complex and a complete general model is difficult to be formulated.”
Quote in the paperSubstantial claimMay combine two claims.
Premisereasoning§ List of FiguresThe frost layer results in significant heat transfer resistance from the air to the air cooler surface and reduces the heat transfer rate between the air and the refrigerant.
“This layer results in a significant heat transfer resistance from the air to the air cooler surface.It acts as insulation to the cold evaporator surface from the warmer air which results in reduction in heat transfer rate between the air and the refrigerant.”
Quote in the paperSubstantial claimMay combine two claims.
Premisecitation§ Waters et al. (2001a, 2001bCoils with louvered fins have more frost accumulation and the greatest pressure drop than flat, wavy and corrugated fin types.
“Coils with louvered fins have more frost accumulation than other fin types.This can be attributed to the increased surface area of contact for the mass transfer to occur and frost to settle down.The other three fin types were very close together, ostensibly because of similar geometries.b.Coils with louvered fins have the greatest pressure drop.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1989a, 1989b, 1990, 1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based).
Premisenone given§ CHAPTER 3 3 Mathematical ModelsOn the refrigerant side, it is a two-phase flow in which vapor and liquid phase changes along the coil.
“On the refrigerant side, it is a two-phase flow which vapor and liquid phase changes along the coil.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisenone given§ Waters et al. (2001a, 2001bThe simulated results for frost distribution for the counter flow configuration were different as reported by Aoki et al. (1991); their results showed that frost at the refrigerant outlet was thicker than the refrigerant inlet row.
“The simulated results for the frost distribution for their counter flow configuration was different as reported by Aoki et al. (1991).Their results showed that the frost at the refrigerant outlet was thicker than the refrigerant inlet row.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Aoki et al. (1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based).
Premisenone given§ CHAPTER 3 3 Mathematical ModelsThe growth of frost depends on the cold surface temperature and the absolute humidity difference between the air and the cold surface.
“The growth of frost depends on the cold surface temperature and absolute humidity difference between the air and the cold surface.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Premisenone given§ 2.4 ConclusionsThe pressure drop across the coils has an effect on the heat transfer performance of the coils.
“The pressure drop across the coils has an effect on the heat transfer performance of the coils.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisecitation§ Chapter 2Increasing air temperature increases the frosting rate, but Sanders showed that frost thickness was less at higher air temperature.
“In the category of air temperature, Tantakitti and Howell (1986) and Rite and Crawford (1991b) found that increasing the air temperature increases the frosting rate but Sanders (1974) showed that the frost thickness was less at higher air temperature.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Tantakitti and Howell (1986)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Rite and Crawford (1991b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Sanders (1974)
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ Chapter 2Senshu et al. and Yan et al. observed that mean fin temperature increased as air velocity increased, leading to lower frosting rate, and that surface temperature became colder as air velocity decreased, increasing frosting rate.
“Senshu et al. (1990) explicated that the mean temperature of fin increased as the air velocity increased which leaded to lower frosting rate.Yan et al. (2003) further explained that the surface temperature become colder as the air velocity decreased.Lower temperature tends to increase the frosting rate.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Senshu et al. (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Yan et al. (2003) source
Classified as probably not a substantial claim.
Premisecitation§ 3.6.2 Frost layer sideJones and Parker (1975) concluded that as long as the initial value of the frost density is significantly smaller than the expected frost, it will not affect the solution for the frost growth and densification.
“They concluded that as long as the initial value of the frost density is significantly smaller than the expected frost, it will not affect the solution for the frost growth and densification.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Jones and Parker (1975) source
May combine two claims.
Premisecitation§ Chapter 2Staging and partial cutting of fins to allow air bypass is effective in decreasing air pressure drop and increasing the heat transfer rate.
“They found that staging and partial cutting of fins to allow air bypass is effective in decreasing air pressure drop and increasing the heat transfer rate.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Ogawa et al. (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationcitation§ Waters et al. (2001a, 2001bAs frosting commences, heat extracted from the air by the evaporator is reduced, resulting in a decrease in refrigerant temperature, a decrease in refrigerant density at the compressor inlet, and reduction in both refrigerant flow rate and compressor power.
“As frosting commences, the heat extracted from the air by evaporator is reduced, resulting in a decrease in refrigerant temperature, yielding a decrease in refrigerant density at the compressor inlet and leading to reduction in both refrigerant flow rate and compressor power.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Tassou and Marquand (1987) source
- cites Ameen (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ Waters et al. (2001a, 2001bThe heating capacity and COP of the heat pump increased initially but later showed a gradual drop due to the insulating effect and drop in air flow.
“The heating capacity and COP of the heat pump increased initially but later showed a gradual drop due to the insulating effect and drop in air flow.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Tassou and Marquand (1987) source
- cites Ameen (1993)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based).
Premisenone given§ 2.4 ConclusionsThe overall heat transfer increases with the relative humidity of the air flowing across the coils.
“The overall heat transfer increases with the relative humidity of the air flowing across the coils.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisecitation§ Waters et al. (2001a, 2001bWidening of the first row increases cycle time and cyclic COP, but narrowing of the back row reduces the COP benefit compared to the base case while increasing the frost/defrost time benefit.
“Their results showed that widening of first row increases cycle time and cyclic COP but narrowing of back row reduces the benefit in COP compared to the base case, while increasing the benefit in frost/defrost time.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Waters et al. (2001a, 2001b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationcitation§ Chapter 2Higher air velocity leads to a higher heat and mass transfer coefficient, thereby increasing the amount of moisture converted to frost in the same time period.
“They explained that higher air velocity leads to a higher heat and mass transfer coefficient, thereby increasing the amount of moisture being converted to frost in the same time period.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1989) source
May combine two claims.
Premisenone given§ 2.4 ConclusionsHeat exchangers with wider fin spacing perform better than narrow fin spacing under frosting condition; variable fin spacing or fin staging seems to perform better.
“Heat exchangers with wider fin spacing perform better as comparing with narrow fin spacing under frosting condition.Variable fin spacing or fin staging seems to perform better.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
Premisereasoning§ CHAPTER 3 3 Mathematical ModelsModeling frost growth using fundamental heat and mass transfer relationships is a complicated process.
“Modeling frost growth using the fundamental heat and mass transfer relationships is a complicated process.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 3.7 Permeation phenomenaWhen the frost surface temperature reaches the melting point, the frost surface may melt and some liquid water soaks towards the surface.
“When the frost surface temperature reaches the melting point, the frost surface may melt and some liquid water soaks towards the surface.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 3.7 Permeation phenomenaSherif et al. (1993) proposed an equation to calculate the new frost density after one cycle of melting and refreezing.
“Sherif et al. (1993) proposed a way to account for this changes by introducing the following equation to calculate the new frost density after one cycle of melting and refreezing has occurred:”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Sherif et al. (1993) source
May combine two claims. The quote only partly states this claim.
Interpretationreasoning§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rateThe air outlet temperature on the right hand side is colder than that on the left hand side because more rows on the right were in two-phase flow.
“This causes the air outlet temperature on the right hand side is colder than that on the left hand as shown in Fig. 4.11.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Study design and conductreasoning§ 4.1.4 Selection of time stepThe Chisholm model was selected for two-phase refrigerant flow simulations because it is simple.
“Among the three drift flux models presented, the Chisholm model is preferred due to its simplicity of the correlation.Therefore, the simulation will base on the Chisholm model for two-phase refrigerant flow.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilHigher frost height reduces air flow area and leads to an increase in air pressure drop.
“The higher the frost height, the less air flow area allows for the air to pass through the evaporator coil.This will also lead to the increase in air pressure drop.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.4.2 Effect of air relative humidity on frosted evaporatorHigher humidity leads to more frost formation and growth and consequently a higher frost height and density.
“Higher humidity leads to more frost formation and growth and consequently a higher frost height and density is formed.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.3.3 Variation of frost, air and wall temperature inside coilAoki et al. (1991) reported that frost layer formation depends on cold surface temperature and air absolute humidity.
“They reported that the formation of frost layer depends on the cold surface temperature and the air absolute humidity.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Aoki et al. (1991)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationreasoning§ 4.3.1 Effect of frost on air outlet, refrigerant liquid dry-out position and total energy transfer rateAs surface area coverage increases with frost accumulation, less heat exchange occurs between air and cold surface, and hence air outlet temperature increases.
“As the surface area coverage increases with frost accumulation, less heat exchange occurs between air and cold surface and hence the air outlet temperature increases.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilLower wall temperature increases frost growth, so the first row has the highest frost height and the coil closer to exit has the lowest.
“Lower wall temperature increases frost growth and therefore, the first row has the highest frost height, and the lowest at the coil closer to exit.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.1.4 Selection of time stepThe homogeneous model's equal-velocity assumption oversimplifies liquid-vapor interaction in the two-phase flow region, resulting in lower pressure loss and faster transient response.
“This assumption oversimplifies the interaction between liquid and vapor in the twophase flow region, which results in a lower pressure loss and a faster transient response.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The homogeneous model assumes equal velocity for both liquid and vapor.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone given§ 3.7 Permeation phenomenaContinuous deposition of frost will result in a continuous increase in the frost thickness, surface temperature, density and thermal conductivity.
“Continuous deposition of frost will result in a continuous increase in the frost thickness, surface temperature, density and thermal conductivity.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Premisenone given§ 4.4.2 Effect of air relative humidity on frosted evaporatorThe higher the air humidity, the more moisture content the air has.
“The higher the air humidity, the more moisture content the air has.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.3.3 Variation of frost, air and wall temperature inside coilThe frost accumulation phenomenon is consistent with Tantakitti and Howell (1986) and Rite and Crawford (1991b).
“This phenomenon is consistent with Tantakitti and Howell (1986) and Rite and Crawford (1991b).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Tantakitti and Howell (1986)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Rite and Crawford (1991b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
Study design and conductreasoning§ 4.3 Simulation Results on Frosted EvaporatorTo understand changes due to frost growth alone, the simulation kept air and refrigerant input parameters constant through the simulation period.
“In order to understand the changes of evaporator performance due to frost growth alone, the simulation will keep the input parameter for air and refrigerant constant through the simulation period.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductown data§ 4.1.2 Selection of convergence criterionA convergence criterion of 10^-4 was used for simulations based on the last row refrigerant temperature and velocity.
“Therefore, based on the results of the last row refrigerant temperature and velocity, convergence criterion of 10 -4 was used for simulations.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 4.3.3 Variation of frost, air and wall temperature inside coilThe early-stage lower wall temperature at the right side cells is due to friction pressure drop of refrigerant in the tube and colder air temperature caused by phase change.
“This is due to the friction pressure drop of refrigerant in the tube and the colder air temperature caused by the phase change effect at the early stage.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductown data§ 4.1.3 Selection of number of cells40 cells per row was selected for all subsequent simulations.
“Therefore, 40 cells per row was selected for all subsequence simulations.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 4.4.3 Effect of air mass flow rate on evaporatorA higher air mass flow rate leads to a higher Reynolds Number and hence an increase in the rate of energy transfer.
“A higher air mass flow rate leads to a higher Reynolds Number and hence an increases in the rate of energy transfer.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.4.4 Effect of fin pitch on evaporatorThe higher frost height and coverage for larger fin pitch is caused by less heat transferred from air to refrigerant and is worsened by the insulation effect of frost.
“This is caused by less heat being transferred from the air to the refrigerant and further worsens by the insulation effect of frost.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.4.3 Effect of air mass flow rate on evaporatorSuch trends have been reported by Senshu et al. (1990) and Yan et al. (2003).
“Such trends have also been reported by Senshu et al. (1990) and Yan et al. (2003).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Senshu et al. (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Yan et al. (2003) source
May combine two claims.
Interpretationreasoning§ 4.4.4 Effect of fin pitch on evaporatorThe higher frost accumulation for larger fin pitch is due to lower energy transfer rate, which causes the surface temperature to be lower than the other two conditions.
“This is due to lower energy transfer rate which causes the surface temperature to be lower than the other two conditions.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.4.3 Effect of air mass flow rate on evaporatorHigher air mass flow rate increases the heat transfer coefficient, which increases wall surface temperature.
“Higher air mass flow rate increase the heat transfer coefficient which will also increase the wall surface temperature.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 5.3.1 Field observation on air sideGrowth and propagation of frost reduce the air flow passage, resulting in increased air pressure difference between inlet and outlet.
“The growth and propagation of frost reduce the air flow passage resulting in increased air pressure difference between the inlet and outlet.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim. May combine two claims.
Interpretationnone given§ 4.5.2 Airside pressure drop across heat exchanger coilDeposition and growth of frost on the heat exchanger surface leads to a narrower fin pitch and a smaller air flow passage area.
“The deposition and growth of frost on the surface of heat exchanger leads to a narrower fin pitch and a smaller air flow passage area.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 5.3.1 Field observation on air sideLess heat transferred implies less refrigerant evaporation, and to maintain refrigerant superheat leaving the coil, the TXV limits refrigerant flow into the coil.
“Less heat transferred implies less refrigerant evaporation and in order to maintain the refrigerant superheat leaving the coil, the TXV limits the refrigerant flow into the coil.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 4.4.3 Effect of air mass flow rate on evaporatorA larger frost accumulation insulates the evaporator quicker and causes the energy transfer rate to degrade faster.
“Because of a larger frost accumulation, the frost layer insulates the evaporator quicker and causes the energy transfer rate degraded faster.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Premisecitation§ 4.4.4 Effect of fin pitch on evaporatorThe test coil was a single row flat finned-tube heat exchanger.
“The test coil was a single row flat finned-tube heat exchanger as shown in Fig. 4.44.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.4.4 Effect of fin pitch on evaporatorThe working refrigerant was a 50% ethylene glycol/water mixture.
“The working refrigerant was 50% ethylene glycol/water mixture.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1990)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Premisenone given§ 4.5.1 Frost growthHigher air humidity, higher air temperature and lower refrigerant temperature boost frost growth.
“Higher value of air humidity, air temperature and lower refrigerant temperature boost the frost growth.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.4.4 Effect of fin pitch on evaporatorThe result is agreeable with Gatchilov and Ivanova (1979) and Yan et al. (2003).
“This is also agreeable with Gatchilov and Ivanova (1979) and Yan et al. (2003).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Gatchilov and Ivanova (1979)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Yan et al. (2003) source
Probably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 4.5.3 Energy transfer coefficientKondepudi and O'Neal (1989) proposed that the energy transfer coefficient E_o can be expressed by equation (4.4).
“Kondepudi and O'Neal (1989) in their paper proposed that the energy transfer coefficient, E o , can be expressed as follow: p,a o Q.C E LMED.A = (4.4)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kondepudi and O'Neal (1989) source
Probably not a substantial claim: may not pass S3 (load-bearing).
Interpretationreasoning§ 5.3.1 Field observation on air sideThe increase in air outlet temperature could be due to more of the cooling load being used for latent rather than sensible cooling.
“The increase in temperature could be due to the fact that more of the cooling load was used for latent rather than sensible cooling.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Interpretationreasoning§ 5.3.1 Field observation on air sideThe relative humidity of air increases as the air temperature decreases, because lower air temperature has less moisture-holding capacity.
“The relative humidity of air increases as the air temperature decreases, since lower air temperature has less moisture-holding capacity.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 5.4.1 Air side comparisonsThe differences in air outlet temperature could be due to under-prediction of pressure drop across the coil and accuracy of the heat transfer coefficient.
“The differences could be due to the under-prediction of the pressure drop across the coil and also the accuracy of the heat transfer coefficient.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone given§ 5.4.2 Energy transfer rate comparisonLess evaporated refrigerant reduces the enthalpy of the refrigerant leaving the coil.
“Less evaporated refrigerant reduces the enthalpy of the refrigerant leaving the coil.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 5.3.3 Field observation of frost formationAs less refrigerant evaporates, wall temperature decreases and therefore frost growth increases.
“As less refrigerant evaporates, the wall temperature decreased and therefore the frost growth increases.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Premisereasoning§ 6.2 RecommendationsThe studies on frost formation and growth on finned tube coils are limited.
“The studies on frost formation and growth on finned tube coils are limited.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 5.4.2 Energy transfer rate comparisonFormation and propagation of frost seems to be slower than simulated results because during coil frosting at the first few rows, wall temperatures for last few rows are still above freezing point but could be below dew point.
“The formation and propagation of frost seems to be slower than the simulated results because during the coil frosting at the first few rows, the wall temperatures for last few rows of the coil are still above freezing point but could be below the dew point.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Interpretationnone given§ 5.5 ConclusionsThe main reason for the model under-predicting frost mass accumulation could be due to the condensate drip effect.
“The main reason for this could be due to the condensate drip effect.”
Quote in the paperSubstantial claim- Rests on an assumption: The condensate drip effect is more dominant than the additional mass transfer after system shutdown.
May combine two claims.
Interpretationnone given§ 5.4.2 Energy transfer rate comparisonWhen the system is shut-down and allowed to melt at room temperature, the coil and frost surfaces are still below freezing or dew point, and mass transfer of water vapor from air continues to occur after shutdown.
“Secondly, when the system is shut-down and allowed to melt at room temperature, the coil and frost surfaces are still below freezing or dew point.Mass transfer of water vapor from air continues to occur even after the system has shut-down.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 5.4.1 Air side comparisonsPressure drop influences air flow, which is one of the variables that affects frost growth.
“The pressure drop influences the air flow which is also one of the variables that affects the frost growth.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 5.3.3 Field observation of frost formationThe tube bend causes refrigerant pressure to decrease, resulting in lower wall temperature, which promotes frost formation.
“The tube bend causes the refrigerant pressure to decrease and results in a lower wall temperature which also promotes frost formation.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ 6.2 RecommendationsFor a constant air flow rate through heat exchanger fins, frost growth blockage increases pressure drop across the fin by up to a factor of 8 while heat transfer rate decreases by as much as 20%.
“They found that for a constant air flow rate through the heat exchanger fins, the blockage of air flow resulting from the frost growth increases the pressure drop across the fin by up to a factor of 8 times while the heat transfer rate decreases by as much as 20 %.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chen et al. (2000a, 2000b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisecitation§ 6.2 RecommendationsChen et al.'s results are limited to heat exchanger fins only and not the practical finned tube heat exchanger.
“Their results, however, only limited to the studies on heat exchanger fin only and not the practical finned tube heat exchanger.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chen et al. (2000a, 2000b)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Premisereasoning§ 5.4.1 Air side comparisonsReynolds and Prandtl numbers, Colburn j factor, and spacing between fins change with time.
“The Reynolds and Prandtl numbers, Colburn j factor and the spacing between fins changes with time too.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationreasoning§ 5.3.3 Field observation of frost formationLess air flow leads to lower heat transfer rate, lower wall temperature, and encourages frost growth.
“Less air flow leads to lower heat transfer rate and therefore, the wall temperature was lower, and this encourages frost growth.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationreasoning§ 5.4.1 Air side comparisonsPressure drop changes the air side heat transfer coefficient as a consequence of the velocity associated with blockage at the fins.
“It changes the air side heat transfer coefficient as a consequence of the velocity associated with the blockage at the fins.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Premisenone given§ 6.2 RecommendationsA number of investigators have made both experimental and theoretical studies to determine the rate of heat transfer and thermal conductivity but the results are inconclusive.
“A number of investigators have made both experimental and theoretical studies to determine the rate of heat transfer and thermal conductivity but the results are inconclusive.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationown data§ 6.2 RecommendationsThe condensate drip effect will affect the frost.
“This condensate drip effect will affect the frost and should be accounted in the modeling.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ 5.4.2 Energy transfer rate comparisonCondensation of water on the fin and wall surface could occur, and the condensate drip effect causes water to soak into the frost layer at the subsequent row below.
“This could lead to the condensation of water on the fin and wall surface, and the condensate drip effect causes water to soak into the frost layer at the subsequent row below.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone given§ Additional informationThe sensors deliver a voltage signal that has been calibrated against pressure.
“The sensors deliver a voltage signal that has been calibrated against pressure.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone given§ Additional informationPressure transducers of accuracy ±0.25% were installed to record the dynamic responses of the evaporating and condensing pressures.
“Pressure transducers of accuracy ± 0.25 % were installed to record the dynamic responses of the evaporating and condensing pressures.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone given§ 6.2 RecommendationsThe presented model includes the permeation process where the frost surface melts and some liquid soaks into the frost layer when frost surface temperature reaches the melting point.
“The presented model includes the permeation process where the frost surface melt and some liquid soak into the frost layer when frost surface temperature reaches the melting point.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ 6.2 RecommendationsFor frost conditions, Lee et al. (2003) correlated their experimental results and postulated the Lewis number as 0.905 ± 0.005.
“For the condition of frost, Lee et al. (2003) correlated their experimental results postulated the Lewis number as 0.905 ± 0.005.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lee et al. (2003) source
May combine two claims.
Interpretationown data§ 6.2 RecommendationsThe frost formation is greater at lower air mass flow rate, higher relative humidity, higher air inlet temperature and higher fin pitch.
“The frost formation is greater at lower air mass flow rate, higher relative humidity, higher air inlet temperature and higher fin pitch.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisecitation§ Additional informationTemperature sensitive products require precise temperature control in the chilled cargo range.
“Temperature sensitive products require precise temperature control in the chilled cargo range (Chia et al. 1997)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chia et al. 1997
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone given§ Additional informationCalibrated K-type thermocouples with an accuracy of ±0.5°C were used for measurement of air and refrigerant circuit temperatures.
“Calibrated K-type thermocouples with an accuracy of ± 0.5 o C were used for measurement of air and refrigerant circuit temperatures.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Premisecitation§ 6.2 RecommendationsDietenberger's (1983) semi-empirical correlation is chosen because it applies to a wide range of frost density and temperature, i.e., ρ_air < ρ_fst < ρ_ice and 80 K < T_w < 273 K.
“Dietenberger's (1983) semi-empirical correlation is chosen because the correlation can apply to a wide range of frost density and temperature, i.e., ρ air < ρ fst < ρ ice and 80 K < T w < 273 K.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Dietenberger (1983) source
May combine two claims.
Interpretationreasoning§ Additional informationMore frost grows and propagates faster on higher fin pitch, which affects the total energy transfer rate to decrease faster than other.
“As such, more frost grow and propagate faster on higher fin pitch which affect the total energy transfer rate to decrease faster than other.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Interpretationnone given§ 6.2 RecommendationsA general distributed model with two-phase flow for refrigerant coupled with a frost model for non-steady performance of finned-tube evaporator under frosting and non-frosting conditions has been presented.
“A general distributed model with two-phase flow for refrigerant coupled with a frost model for non-steady performance of finned-tube evaporator under frosting and non-frosting conditions has been presented.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisereasoning§ 6.2 RecommendationsModeling a finned tube evaporator using volatile refrigerant is more complicated than using a single-phase fluid such as brine or glycol/water.
“Modeling of finned tube evaporator in the refrigeration system uses volatile refrigerant as a cooling medium to cool the air is complicated as compared to singlephase fluid such as brine or glycol/water concentration.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisereasoning§ 6.2 RecommendationsThe agreement between wet-bulb temperature and adiabatic saturation temperature is a direct consequence of the nearness of the Lewis number to unity for air and water vapor.
“The agreement between wetbulb temperature and adiabatic saturation temperature is a direct consequence of the nearness of the Lewis number to unity for air and water vapor.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductown data§ Additional informationThe refrigerant mass flow rate was measured by a rotameter, and the error on the flow rate was corrected based on a factor provided by the manufacturer, with accuracy estimated to be within ±2%.
“The refrigerant mass flow rate was measured by a rotameter.The error on the flow rate was corrected based on a factor provided by the manufacturer and the accuracy estimated to be within ± 2 %.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone given§ Additional informationDifferential pressure across the evaporator coil was measured with a pressure differential transducer of accuracy ±1%.
“Differential pressure across the evaporator coil was measured with a pressure differential transducer of accuracy ± 1 %.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductcitation§ Additional informationThe uncertainty calculation method used is the one described by Kine and McClintock (1953).
“The method used for the uncertainty calculation is the one described by Kine and McClintock (1953).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kine and McClintock (1953)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim.
Premisereasoning§ 6.2 RecommendationsBecause of two-phase evaporating flow inside coils, the local heat transfer coefficient varies over a great range at different locations.
“Because of the two-phase evaporating flow inside coils, the local heat transfer coefficient varies in a great range at different locations.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Premisecitation§ 6.2 RecommendationsThe diffusion coefficient of water vapor in air is a function of temperature, pressure and composition.
“The diffusion coefficient, D v , is a function of temperature, pressure and composition.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Sherwood and Pigford (ASHRAE Fundamentals, 2001)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).
Study design and conductnone given§ 6.2 RecommendationsThe results have been qualitatively compared with what has been reported in literature.
“The results have been qualitatively compared with what have been reported in literature.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationreasoning§ Additional informationAs less heat is transferred to the refrigerant, the cold refrigerant that passes through the next cell propagates frost formation along the coil, resulting in an increase of frost mass accumulation with time.
“As less heat is being transferred to the refrigerant, the cold refrigerant that passes through the next cell propagating the frost formation along the coil, resulting in the increase of frost mass accumulation with time.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Premisenone given§ 6.2 RecommendationsOne of the key problems in distributed parameter models is the description of void fraction and two-phase flow.
“However, one of the key problems in these models is the description of void fraction and two-phase flow.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone given§ 6.2 RecommendationsWith the increase of frost growth, the total airside heat transfer decreases and the air pressure drop across evaporator increases.
“With the increase of frost growth, the total airside heat transfer decreases and the air pressure drop across evaporator increases.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone given§ Additional informationTwo humidity sensors with an accuracy of ±3% were used for measurement on the air on and off the coil.
“Two humidity sensors with an accuracy of ± 3 % were used for measurement on the air on and off the coil and the current signals are outputs to the data logger.”
Quote in the paperNot a substantial claim
The paper relies on this without support.
The existence of frost on the surface of an air cooler is undesirable and is a common problem in refrigeration systems.
“The existence of frost on the surface of air cooler is undesirable and it is a common problem in refrigeration system.”
The paper relies on this without support.
Water evaporated during the defrost cycle often ends up back on the air cooler in the next cycle of operation.
“The water evaporated during defrost cycle often ends up back on the air cooler in the next cycle of operation.”
The authors state this as an assumption.
The refrigerant mass flow rate in each circuit is uniform, and there is no heat conduction between circuits, so the evaporator is simplified as one circuit.
“1.The refrigerant mass flow rate in each circuit is considered uniform, and there is no heat conduction between circuits so that the evaporator is simplified as one circuit.”
The authors state this as an assumption.
The two-phase evaporating flow inside the tube is simplified as a one-dimensional drift flux flow.
“2. The two-phase evaporating flow inside the tube is simplified as a onedimensional drift flux flow.”
The authors state this as an assumption.
The vapor and liquid flow are incompressible and in thermal equilibrium conditions.
“The vapor and liquid flow are incompressible and in thermal equilibrium conditions.”
The authors state this as an assumption.
The axial heat conduction within the tube wall is ignored, as transverse conduction along the fins will be dominant.
“3. The axial heat conduction within the tube wall is ignored, as transverse conduction along the fins will be dominant.”
The authors state this as an assumption.
Frost formation process is quasi-steady state.
“4. Frost formation process is assumed to be quasi-steady state.”
The authors state this as an assumption.
The frost density at any instant is the average value of a layer.
“5. The frost density at any instant is average value of a layer.”
The authors state this as an assumption.
The amount of water vapor absorbed into the frost layer is proportional to water vapor density in the frost.
“6.The amount of water vapor absorbed into the frost layer is proportional to water vapor density in the frost.”
The authors state this as an assumption.
The initial conditions for air and refrigerant are in the steady state initially.
“The initial conditions for air and refrigerant are assumed to be in the steady”
The authors state this as an assumption.
For a given instant of time, the properties of the air stream across the heat exchanger and of the frost layer are constants.
“For a given instant of time, t, the properties of the air stream across the heat exchanger and that of the frost layer are assumed to be constants.”
The authors state this as an assumption.
The evaporator is in the steady state initially.
“The evaporator is assumed to be in the steady state initially, thus the steadystate initial conditions are applied.”
The authors state this as an assumption.
When solving for unknowns at the refrigerant and tube wall side, the air conditions (T_a, ω_a) of each cell are known.
“When solving for unknowns at the refrigerant and tube wall side, the air conditions (T a , ω a ) of each cell are assumed to be known”
The authors state this as an assumption.
The initial temperature can be taken as the cold surface temperature if the initial frost thickness is so thin that its heat transfer resistance is negligible compared to the air side heat transfer resistance.
“The initial temperature can be taken as the cold surface temperature if the initial frost thickness is so thin that the heat transfer resistance of the initial frost thickness is negligible compared to the air side heat transfer resistance.”
The authors state this as an assumption.
The initial frost height and density ideally should be as close to zero as possible since there is no frost initially.
“The initial frost height and density ideally should be as close to zero as possible since there is no frost initially.”
The authors state this as an assumption.
The constant value for C_melt is between zero and 1 and should be determined using experimental data.
“According to their assumption, the constant value for C melt is between zero to 1 and this value should be determined using experimental data.”
The authors state this as an assumption.
The excess saturated vapor density is redistributed inside the frost layer.
“This permeation process can be adopted in this mathematical modeling by assuming that the excess saturated vapor density is redistributed inside frost layer as shown in Fig. 3.11.”
The paper relies on this without support.
The frost layer is a porous structure of air and ice, so the diffusion path is longer than in free space.
“The frost layer is a porous structure of air and ice and therefore, the diffusion path is longer than that in free space.”
The authors state this as an assumption.
The homogeneous model assumes equal velocity for both liquid and vapor.
“because it assumes equal velocity for both liquid and vapor.”
The paper relies on this without support.
Frost formation and growth is an unsteady process that affects system performance.
“The frost formation and growth is an unsteady process and will affect the system performance.”
The paper relies on this without support.
Frost presence has an impact on evaporator performance.
“The present of frost has impact on the evaporator performance.”
The paper relies on this without support.
In practical conditions, the evaporator operates in a transient manner.
“In practical condition, the evaporator operates in transient manner.”
The paper relies on this without support.
Refrigerant and air inlet conditions change based on space cooling load and expansion valve regulation.
“The refrigerant and air inlet condition change based on space cooling load and the regulating of expansion valve.”
The paper relies on this without support.
The humidity ratio is higher for a higher air temperature with the same relative humidity.
“The humidity ratio is higher for a higher air temperature with the same relative humidity.”
The paper relies on this without support.
The condensate drip effect is more dominant than the additional mass transfer after system shutdown.
“Between the two reasons, the condensate drip effect is more dominant.”
The paper relies on this without support.
Less air was channeled to the side of the coil, causing uneven air distribution.
“The frost starts to form here because of the uneven air distribution, where less air was channeled to the side”
The paper relies on this without support.
The densification rate is strongly related to the water vapor diffusion within the frost layer.
“The densification rate is strongly related to the water vapor diffusion within the frost layer.”
The paper relies on this without support.
Distributed parameter models have gained popularity for fully simulating heat transfer processes, air temperature and other parameter distributions inside the coil.
“To fully simulate the heat transfer processes, air temperature and other parameter distributions inside the coil, the distributed parameter models have gained popularity.”
The authors state this as an assumption.
In the simulation, the air flow is assumed to be evenly distributed.
“in simulation, the air flow is assumed to be evenly distributed whereas the flow is uneven in practice.”
The paper relies on this without support.
There is scarcity in the literature about research on containers, especially in modeling and validation of container refrigeration systems under frosting condition.
“However, there is scarcity in the literature about research on containers, especially in modeling and validation of container refrigeration systems under frosting condition.”
The paper relies on this without support.
Frost formation on an air cooler degrades the performance of the air cooler and the whole cooling/refrigeration system.
“Frost formation on air cooler degrades the performance of the air cooler as well as the whole cooling / refrigeration system.”
The paper relies on this without support.
Operating carriage temperature below freezing is subjected to frost deposition and progressive build-up on the evaporator coil.
“Operating carriage temperature at below freezing temperature is subjected to frost deposition and progressive build-up on the evaporator coil.”
The paper relies on this without support.
The presence of frost affects the system performance and hence the cargo being cooled.
“The presence of the frost affects the system performance and hence the cargo being cooled.”
The paper relies on this without support.
Higher fin pitch has lower overall heat exchange surface area.
“Higher fin pitch has lower overall heat exchange surface area.”
The paper relies on this without support.
Frost growth is more rapid with a decrease in the temperature of the heat transfer surface.
“frost growth is more rapid with a decrease in the temperature of the heat transfer surface.”
The paper relies on this without support.
Temperature variation caused by frost deposition and build-up is a parameter to be concerned.
“temperature variation caused by frost deposition and build-up is a parameter to be concerned.”
The authors state this as an assumption.
The frost layer is treated as a porous media with transient and one-dimensional heat and mass transfer.
“The frost layer is treated as a porous media with transient and one-dimensional heat and mass transfer.”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Tube inner diameter conflicts with the stated wall thickness
MinorTable 4.2 gives a 12.70 mm outer diameter and a 12.27 mm inner diameter. The later description of the same commercial-container evaporator gives a 12.7 mm outer diameter and a 0.432 mm wall thickness, which implies an inner diameter of 11.836 mm.
“Inner diameter of tube (mm) 12.27 Outer diameter of tube (mm) 12.70”
“The outer diameter of the copper tube is 12.7 mm with a thickness of 0.432 mm.”
Air-side heat-transfer coefficient has conflicting units
MinorTable 4.1 assigns the heat-transfer coefficient units of W/m K, while the nomenclature assigns the air-side heat-transfer coefficient units of W/m2 K.
“Heat transfer coefficient (W/m K) 50”
“U o -heat transfer coefficient of outside air (W/m 2 K)”
Cites
Numerical Recipes, The Art of Scientific Computing
Press, W. H., Flannery, B. P., Teukolsky, S. A., Vetterling, W. T., & Gould, H. (1987) · American Journal of Physics · doi:10.1119/1.14981 · Cited by 10,032 · see citing works
Fundamentals of heat and mass transfer
Larkin, A. V. (2018) · BSU Digital Library (Belarusian State University) · Cited by 8,063 · see citing works
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. R., Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1987) · Technometrics · doi:10.2307/1269484 · Cited by 6,704 · see citing works
Kays, W. M., London, A. L., & Eckert, E. R. G. (1960) · Journal of Applied Mechanics · doi:10.1115/1.3644004 · Cited by 2,846 · see citing works
Ludlam, F. H., & Mason, B. J. (1957) · Handbuch der Physik · doi:10.1007/978-3-642-45881-1_9 · Cited by 974 · see citing works
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“Wang et al. (2000) correlated the friction factor, f, from a total of 74 test cores.”
BackgroundInfluentialStudy of frost properties correlating with frost formation types
Hayashi, Y., Aoki, A., Adachi, S., & Hori, K. (1977) · Journal of Heat Transfer · doi:10.1115/1.3450675 · Cited by 402 · cited 2× · see citing works
“Hayashi et al. (1977), Abdel-Wahed et al. (1984), Schulte and Howell (1982), Mao et al. (1992) and Cheng and Shiu (2002) found that the frost layer grows faster in the upstream than in the downstream of the plate.”
BackgroundMethodYao, Y., Jiang, Y., Deng, S., & Ma, Z. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2004.03.013 · Cited by 196 · cited 7× · see citing works
“Present simulation Kondepudi and O'Neal, experimental (1990) Kondepudi and O'Neal, simulation (1993b)”
BackgroundMethodInfluentialPrediction of the frost formation on a cold flat surface
Lee, K.-S., Jhee, S., & Yang, D.-K. (2003) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(03)00195-9 · Cited by 190 · cited 1× · see citing works
“For the condition of frost, Lee et al. (2003) correlated their experimental results postulated the Lewis number as 0.905 ± 0.005.”
InfluentialFrost formation with varying environmental parameters
Jones, B. W., & Parker, J. D. (1975) · Journal of Heat Transfer · doi:10.1115/1.3450350 · Cited by 171 · cited 3× · see citing works
“The numerical solution shows the model under predicting Yonko and Sepsy (1967) and Jones and Parker (1975) data with maximum 30% error.”
BackgroundMethodModelling of frost growth and densification
Le Gall, R., Grillot, J. M., & Jallut, C. (1997) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(96)00359-6 · Cited by 153 · cited 4× · see citing works
“Le Gall et al. (1997) introduced a variable, volumetric fraction, for the water mass redistribution to the underlying frost layer.”
BackgroundMethodInfluentialRanganayakulu, C., & Seetharamu, K. N. (2018) · doi:10.1002/9781119424369.ch2 · Cited by 152 · see citing works
Equation of the growth rate of frost forming on cooled surfaces
Schneider, H. W. (1978) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(78)90098-4 · Cited by 148 · cited 1× · see citing works
“Schneider (1978), Yonko and Sepsy (1967) and Brian et al. (1969) did not find that the air velocity had any effect on frost growth.”
BackgroundSeker, D., Karatas, H., & Egrican, N. (2004) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2003.12.003 · Cited by 147 · cited 1× · see citing works
“Seker et al. (2004a) also presented a similar model with homogeneous distribution of frost on entire heat exchanger.”
BackgroundDistributed and non-steady-state modelling of an air cooler
Wang, H., & Touber, S. (1991) · International Journal of Refrigeration · doi:10.1016/0140-7007(91)90082-r · Cited by 131 · cited 6× · see citing works
“(1984), Schulte and Howell (1982), Mao et al. (1992) and Cheng and Shiu (2002) found that the frost layer grows faster in the upstream than in the downstream of the plate. O’Neal and Tree (1984) observed that, for low flow rate, his results agreed with Hayashi’s results but for higher flow rates, he observed no signif…”
BackgroundMethodResultInfluential(1967) · ASHRAE winter conference papers · Cited by 128 · see citing works
Frost growth parameters in a forced air stream
Östin, R., & Andersson, S. (1991) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(91)90012-4 · Cited by 116 · see citing works
(1974) · Cited by 107 · see citing works
Performance of finned tube heat exchangers operating under frosting conditions
Yan, W.-M., Li, H.-Y., Wu, Y.-J., Lin, J.-Y., & Chang, W.-R. (2003) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(02)00346-0 · Cited by 95 · cited 8× · see citing works
“Yan et al. (2003) further explained that the surface temperature become colder as the air velocity decreased.”
BackgroundMethodResultInfluentialAn experimental study of frost formation on a horizontal cylinder under cross flow
Lee, Y. B., & Ro, S. T. (2001) · International Journal of Refrigeration · doi:10.1016/s0140-7007(00)00073-6 · Cited by 95 · cited 2× · see citing works
“These observations did not agree with other investigators such as Abdel-Wahed et al. (1984) and Lee and Ro (2001).”
BackgroundResultVoid Fraction during Two-Phase Flow
Chisholm, D. (1973) · Journal of Mechanical Engineering Science · doi:10.1243/jmes_jour_1973_015_040_02 · Cited by 86 · see citing works
Measurement and Correlation of Water Frost Thermal Conductivity and Density
Biguria, G., & Wenzel, L. A. (1970) · Industrial & Engineering Chemistry Fundamentals · doi:10.1021/i160033a021 · Cited by 75 · cited 1× · see citing works
“Brian et al. (1969) and Biguria and Wenzel (1970) observed that the frost density had no spatial variation in the direction of frost growth.”
BackgroundTransient heat pump behaviour: a theoretical investigation
MacArthur, J. W. (1984) · International Journal of Refrigeration · doi:10.1016/0140-7007(84)90025-2 · Cited by 75 · cited 1× · see citing works
“MacArthur (1984) ignored the momentum exchange between liquid and vapor in the two-phase flow region; the momentum equation was omitted.”
BackgroundFrosting performance of tube fin heat exchangers with wavy and corrugated fins
Kondepudi, S. N., & O'Neal, D. L. (1991) · Experimental Thermal and Fluid Science · doi:10.1016/0894-1777(91)90040-x · Cited by 71 · see citing works
Frost formation and frost crystal growth on a cold plate in atmospheric air flow
Cheng, C., & Shiu, C.-C. (2002) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(02)00134-5 · Cited by 70 · cited 1× · see citing works
“Hayashi et al. (1977), Abdel-Wahed et al. (1984), Schulte and Howell (1982), Mao et al. (1992) and Cheng and Shiu (2002) found that the frost layer grows faster in the upstream than in the downstream of the plate.”
BackgroundA distributed model for prediction of the transient response of an evaporator
Jia, X., Tso, C. P., Chia, P. K., & Jolly, P. (1995) · International Journal of Refrigeration · doi:10.1016/0140-7007(95)00015-4 · Cited by 69 · cited 1× · see citing works
“Jia et al. (1995) presented a distributed model that is applicable for the serpentine coil type evaporators.”
Method(1989) · ASHRAE winter conference papers · Cited by 69 · see citing works
Effect of frost growth on the performance of louvered finned tube heat exchangers
Kondepudi, S. N., & O'Neal, D. L. (1989) · International Journal of Refrigeration · doi:10.1016/0140-7007(89)90030-3 · Cited by 67 · see citing works
Observations of early-stage frost formation on a cold plate in atmospheric air flow
Cheng, C.-H., & Wu, K.-H. (2003) · Journal of Heat Transfer · doi:10.1115/1.1513576 · Cited by 66 · cited 1× · see citing works
“In contrast, Yamakawa et al. (1972), Schulte and Howell (1982), Cheng and Wu (2003) showed data where Reynolds number (or air velocity) has influence on frost growth.”
BackgroundFrost deposition in a parallel plate channel under laminar flow conditions
Lüer, A., & Beer, H. (2000) · International Journal of Thermal Sciences · doi:10.1016/s1290-0729(00)00193-8 · Cited by 64 · cited 1× · see citing works
“Luer and Beer (2000) also observed that at higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.”
BackgroundModeling of frost formation over parallel cold plates
Ismail, K. A. R., & Salinas, C. S. (1999) · International Journal of Refrigeration · doi:10.1016/s0140-7007(98)00069-3 · Cited by 61 · see citing works
Fan supplied heat exchanger fin performance under frosting conditions
Chen, H., Thomas, L., & Besant, R. W. (2003) · International Journal of Refrigeration · doi:10.1016/s0140-7007(02)00011-7 · Cited by 59 · see citing works
Hemisphere Handbook of Heat Exchanger Design
Martin, H. (1990) · Chemical Engineering and Processing - Process Intensification · doi:10.1016/0255-2701(90)80013-u · Cited by 56 · see citing works
Seker, D., Karatas, H., & Egrican, P. D. N. (2004) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2003.12.004 · Cited by 56 · cited 1× · see citing works
“Seker et al. (2004a) also presented a similar model with homogeneous distribution of frost on entire heat exchanger.”
Background(1990) · ASHRAE Transactions (American Society of Heating, Refrigerating and Air-Conditioning Engineers) · Cited by 55 · see citing works
Performance of finned-tube heat exchangers under frosting conditions: I. Simulation model
Kondepudi, S. N., & O'Neal, D. L. (1993) · International Journal of Refrigeration · doi:10.1016/0140-7007(93)90045-a · Cited by 54 · see citing works
A dynamical model adequate for controlling the evaporator of a heat pump
Nyers, J. M., & Stoyan, G. (1994) · International Journal of Refrigeration · doi:10.1016/0140-7007(94)90050-7 · Cited by 53 · see citing works
Generalized correlation of the water frost thermal conductivity
Dietenberger, M. A. (1983) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(83)90011-x · Cited by 52 · cited 1× · see citing works
“Dietenberger (1983) developed a method of calculating the frost thermal conductivity based on both theory and experimental data.”
MethodA semi-empirical transient method for modelling frost formation on a flat plate
Sherif, S. A., Raju, S. P., Padki, M. M., & Chan, A. B. (1993) · International Journal of Refrigeration · doi:10.1016/0140-7007(93)90004-r · Cited by 52 · cited 3× · see citing works
“Sherif et al. (1993) presented simple method for modeling the average properties of frost in different geometries.”
BackgroundMethodHemisphere handbook of heat exchanger design
Hewitt, G. F. (1990) · Hemisphere Pub. Corp. eBooks · Cited by 51 · see citing works
(1999) · ASHRAE winter conference papers · Cited by 45 · see citing works
Experimental investigation on the performance of air cooler under frosting conditions
Deng, D.-Q., Xu, L., & Xu, S.-Q. (2003) · Applied Thermal Engineering · doi:10.1016/s1359-4311(03)00022-x · Cited by 30 · cited 1× · see citing works
“That includes Stoecker (1957, 1960), Gatchilov and Ivanova (1979), Gates et al. (1967), Neiderer (1976), Kondepudi and O’Neal (1988, 1989, 1990, 1991), Ameen (1993), Yan et al. (2003) and Deng et al. (2003).”
Prediction of Growth Parameters of Frost Deposits in Forced Convection
White, J. E., & Cremers, C. J. (1981) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.3244426 · Cited by 28 · cited 1× · see citing works
“Chapter 2 19 White and Creamers (1981) suggested that the total mass of water vapor which diffuses into the frost layer approximately half of it goes to increase frost density and the other half goes to increase thickness of the frost layer.”
Background(1994) · Cited by 28 · see citing works
(1999) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 26 · see citing works
Heat, Mass, and Momentum Transfer Inside Frosted Tubes—Experiment and Theory
Chen, M. M., & Rohsenow, W. (1964) · Journal of Heat Transfer · doi:10.1115/1.3688686 · Cited by 26 · cited 1× · see citing works
“Chen and Rohsenow (1964), Chung and Algren (1958b) and Yamakawa et al. (1972) concluded that the frost thermal conductivity not only plays a major role in the heat transfer mechanisms, but increases with frost density.”
BackgroundKondepudi, S. N., & O’Neal, D. L. (1993) · International Journal of Refrigeration · doi:10.1016/0140-7007(93)90046-b · Cited by 25 · see citing works
Heat and mass transfer under frosting conditions
Marinyuk, B. T. (1980) · International Journal of Refrigeration · doi:10.1016/0140-7007(80)90128-0 · Cited by 25 · cited 1× · see citing works
“Marinyuk (1980) correlated frost thermal conductivity with frost density, frost surface temperature and wall temperature.”
BackgroundEffects of Evaporator Frosting on the Performance of an Air-to-Air Heat Pump
Martínez-Frías, J., & Aceves, S. (1997) · Advanced Energy Systems · doi:10.1115/1.2795061 · Cited by 21 · see citing works
Wongwises, S., Disawas, S., Kaew‐On, J., et al. (2000) · International Communications in Heat and Mass Transfer · doi:10.1016/s0735-1933(00)00082-8 · Cited by 21 · cited 2× · see citing works
“27 Tassou and Marquand (1987) and Ameen (1993) studied the overall performance of heat pump under frosting condition. The mass of frost accumulated on the evaporator increases with air relative humidity. As frosting commences, the heat extracted from the air by evaporator is reduced, resulting in a decrease in refrige…”
BackgroundModeling the Cooling Process Path of a Dehumidifying Coil Under Frosting Conditions
Mago, P. J., & Sherif, D. S. A. (2002) · Journal of Heat Transfer · doi:10.1115/1.1494451 · Cited by 20 · cited 1× · see citing works
“This approach is used by researchers such as Stocker and Jones (1982), Mago and Sherif (2002) and Hoffenbecker (2004).”
MethodEffects of evaporator frosting and defrosting on the performance of air-to-water heat pumps
Tassou, S. A., & Marquand, C. J. (1987) · Applied Energy · doi:10.1016/0306-2619(87)90038-9 · Cited by 19 · cited 6× · see citing works
“Chapter 2 27 Tassou and Marquand (1987) and Ameen (1993) studied the overall performance of heat pump under frosting condition.”
BackgroundResultInfluentialTao, Y.-X., & BESANT, R. W. (1993) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2910665 · Cited by 19 · cited 7× · see citing works
“Tao and Besant (1993) presented a physical model with coupled heat and moisture diffusion within the frost layer modeled as a porous media.”
BackgroundInfluentialHeat and mass transfer from a laminar humid air stream to a plate at subfreezing temperature
Abdel-Wahed, R. M., Hifni, M. A., & Sherif, S. A. (1984) · International Journal of Refrigeration · doi:10.1016/0140-7007(84)90053-7 · Cited by 16 · cited 3× · see citing works
“Hayashi et al. (1977), Abdel-Wahed et al. (1984), Schulte and Howell (1982), Mao et al. (1992) and Cheng and Shiu (2002) found that the frost layer grows faster in the upstream than in the downstream of the plate.”
BackgroundResultA numerical analysis of frost formation under forced convection
Parish, H. C. (1970) · OhioLink ETD Center (Ohio Library and Information Network) · Cited by 16 · see citing works
Comparison of three steady-state heat pump computer models
Damasceno, G. S., GOLDSCHMIDT, V. W., & Rooke, S. P. (1990) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 15 · see citing works
The effect of air turbulence on the rate of frost growth on a horizontal flat plate.
Schulte, D. W. (1981) · ASHRAE winter conference papers · Cited by 11 · see citing works
Investigation of Alternative Defrost Strategies
Hoffenbecker, N. (2004) · Minds at UW (University of Wisconsin) · Cited by 9 · see citing works
Payne, W. V., & O’Neal, D. L. (1994) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 3 · see citing works
Effects of Evaporator Frosting on the Performance of an Air-to-Air Heat Pump
Martínez‐Frías, J., & Aceves, S. M. (1997) · Advanced Energy Systems · doi:10.1115/imece1997-1008 · Cited by 2 · see citing works
Void Fractions in Two-Phase Flow: A Correlation Based upon an Equal Velocity Head Model
Smith, S. L. (1969) · Proceedings of the Institution of Mechanical Engineers · doi:10.1243/pime_proc_1969_184_051_02
Flagged first, then by citations
7 of the 68 references couldn’t be matched to a known paper.
Research works printed but not linked: 32
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- [3]3. Aoki, K., Hattori, M. and Hayashi, Y., 1991, "A study of frost formation", Freezing and Melting Heat Transfer In Engineering, Hemisphere Publishing Corporation, pp. 451-487.
- [7]7. Brian, P.L.T., Reid, R.C. and Brazinsky, I., 1969, "Cryogenic frost properties", Cryogenic Technology, 5, pp. 205-212.
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- [10]10. Chen, H., Thomas, L. and Besant, R.W., 2000b, "Modeling frost characteristics on heat exchanger fins: Part II, Model validation and limitations", ASHRAE Transactions, 106(2), pp 368-376.
- [16]16. Chuang, M.C., 1976, "The frost formation parallel plates at very low temperature in a humid stream", ASME Paper 76-WA/HT-60, pp.1-5.
- [17]17. Chung, P.M. and Algren, A.B., 1958a, "Frost formation and heat transfer on a cylinder surface in humid air cross flow, part I: experimental study", Heating, piping and air conditioning, 30(9), pp. 171-177.
- [18]18. Chung, P.M. and Algren, A.B., 1958b, "Frost formation and heat transfer on a cylinder surface in humid air cross flow, part II: theoretical study and conclusion", Heating, piping and air conditioning, 30(10), pp. 115-122.
- [19]19. Dabiri, A. E., 1982. "A Steady-State Computer Simulation Model for Air-To- Air Heat Pumps", ASHRAE Transactions, 88, Pt. 2, pp. 973-987.
- [23]23. Gatchilov, T.S. and Ivanova, V.S., 1979, "Characteristics of the frost formed on the surface of finned air coolers", 15th International Congress of Refrigeration, Venice, B2/71, pp. 997-1003.
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- [59]59. Oskarsson, S.P., Krakow, K.I. and Lin, S., 1990b, "Evaporator models for operation with dry, wet and frosted finned surfaces, Part II: Evaporator models verification", ASHRAE Transactions, 96 (1), pp. 381-392.
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- [84]84. Waters, R.J., O'Neal, D.L. and Yang, J., 2001b, "Effect of fin staging on frost/defrost performance of a two-row heat pump evaporator under heavy frosting conditions", ASHRAE Transaction, 107(2), pp. 250-258.
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- Authors
- Cheng, Y. C.
- Corresponding author
- Cheng, Yeong Chang
- Publisher
- Nanyang Technological University
- Published
- 2006-01-01
- OpenAlex
- W2272417089
- Semantic Scholar
- ea5cf25e19201ba85e8b463567e1d05d7f4e370b
- Cited by
- 0
- References
- 68
- Type
- dissertation
- Language
- en
- Open access
- gold
- doi.org
- Locations
- DR-NTU (Nanyang Technological University) (submittedVersion)
- UPT. Syiah Kuala University Library (Syiah Kuala University) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Heat Transfer and Optimization
- Physical Sciences › Engineering › Mechanical Engineering › Adsorption and Cooling Systems
- Keywords
- frost formation, air coolers, finned tube heat exchanger, frost accumulation, refrigerated containers, R12 refrigerant, pressure drop, heat transfer coefficient, non-steady-state heat transfer
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