Effective thermal conductivity of frost during the crystal growth period
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Initial value of the volumetric ratio of ice columns in the frost layer is a function of environmental parameters.
“Moreover, according to the S ß ahin Õ s results [7], the initial value of the volumetric ratio of the ice columns in the frost layer is a function of environmental parameters.”
From Analysis of the frost growth on a flat plate by simple models of saturation and supersaturation (2005) · cites this paper as Sahin [7]
Frost density is the most important influence factor on frost thermal conductivity.
“The density becomes the most important influence factor, as shown in Fig. 18(a) [46].”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [46]
The divided temperature range for ice crystal habit is very narrow, only 2-4 K at the range of 257-273 K.
“It is worth mentioning that the divided temperature range is very narrow, which is only 2 4 K at the range of 257 273 K.”
From Review on the measurement and calculation of frost characteristics (2018) · cites this paper as [46]
Cites
A one-dimensional model for frost formation on a cold flat surface
Lee, K.-S., Kim, W.-S., & Lee, T.-H. (1997) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(97)00074-4 · Cited by 296 · see citing works
Modelling 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 · see citing works
Frost deposition on cold surfaces
Brian, P. L. T., Reid, R. C., & Shah, Y. T. (1970) · Industrial & Engineering Chemistry Fundamentals · doi:10.1021/i160035a013 · Cited by 142 · cited 1× · see citing works
“[4] as a function of both the temperature and the density.”
BackgroundMeasurement 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
“Biguria and Wenzel [5] have compiled a list of several possible structural models for the frost (ice and air in series, ice and air in parallel, ice in continuous phase with air pores arranged in a simple cubic lattice, uniform spheres of ice dispersed in air, random mixture of ice and air, cubic lattice of uniform ic…”
BackgroundGeneralized 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 [8] has developed a method of calculating the frost thermal conductivity based on both theory and experimental data.”
MethodFrost growth around a cylinder in a wet air stream
Ismail, K. A. R., Salinas, C., & Gonçalves, M. M. (1997) · International Journal of Refrigeration · doi:10.1016/s0140-7007(96)00065-5 · Cited by 42 · see citing works
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Review on the measurement and calculation of frost characteristics
Song, M., & Dang, C. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2018.03.094 · Cited by 212 · see citing works
Shin, J., Tikhonov, A. V., & Kim, C. (2003) · Journal of Heat Transfer · doi:10.1115/1.1518496 · Cited by 123 · see citing works
Frost formation on a plate with different surface hydrophilicity
Lee, H.-U., Shin, J.-M., Ha, S., Choi, B., & Lee, J.-K. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2004.05.021 · Cited by 107 · see citing works
Analysis of the frost growth on a flat plate by simple models of saturation and supersaturation
Lee, Y. B., & Ro, S. T. (2005) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2004.11.001 · Cited by 100 · see citing works
Frost formation on a vertical plate in simultaneously developing flow
Lee, Y. B., & Ro, S. T. (2002) · Experimental Thermal and Fluid Science · doi:10.1016/s0894-1777(02)00216-9 · Cited by 97 · see citing works
<i>Review Article:</i> A Critical Review of Properties and Models for Frost Formation Analysis
Iragorry, J., Tao, Y.-X., & Jia, S. (2004) · HVAC&R Research · doi:10.1080/10789669.2004.10391111 · Cited by 89 · see citing works
“The theoretical thermal conductivity equation for a frost layer was obtained by Hayashi et al. (1977), Deitenberger (1983), Auracher (1987), Sahin (2000), and Yun et al. (2002), using a proposed frost structure that varies from the cubic lattice of solid spherical particles (ice) in a surrounding…”
MethodZhang, L., Song, M., Deng, S., Shen, J., & Dang, C. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2022.118984 · Cited by 83 · see citing works
Heat transfer—A review of 2005 literature
Goldstein, R. J., Ibele, W., Patankar, S., Simon, T., Kuehn, T., Strykowski, P., Tamma, K., Heberlein, J., Davidson, J., Bischof, J., et al. (2010) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2010.05.005 · Cited by 82 · see citing works
Léoni, A., Mondot, M., Durier, F., Revellin, R., & Haberschill, P. (2017) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2017.06.005 · Cited by 74 · see citing works
A semi-empirical correlation for the thermal conductivity of frost
Negrelli, S., & Hermes, C. J. L. (2015) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2015.05.021 · Cited by 59 · see citing works
Analysis of CO2 frost formation properties in cryogenic capture process
Song, C., Kitamura, Y., Li, S.-H., & Jiang, W.-Z. (2013) · International journal of greenhouse gas control · doi:10.1016/j.ijggc.2012.12.011 · Cited by 58 · see citing works
Numerical simulation of frosting behavior and its effect on a direct-contact ambient air vaporizer
Kuang, Y.-W., Yi, C., & Wang, W. (2015) · Journal of Natural Gas Science and Engineering · doi:10.1016/j.jngse.2015.06.042 · Cited by 45 · see citing works
Huang, J.-M., Hsieh, W.-C., Ke, X.-J., & Wang, C.-C. (2008) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2007.06.020 · Cited by 41 · see citing works
“Based on the studies of Ahmet [5] and Iragorry [6], two frost conductivities of 0.”
BackgroundMethodInfluentialA novel prediction model of frost growth on cold surface based on support vector machine
Cao, Z.-K., Han, H., Gu, B., & Ren, N. (2009) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2008.11.015 · Cited by 40 · see citing works
Droplet Solidification: Physics and Modelling
Tiwari, A., Samanta, R., & Chattopadhyay, H. (2023) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2023.120515 · Cited by 38 · see citing works
Wettability-defined frosting dynamics between plane fins in quiescent air
Rabbi, K. F., Boyina, K., Su, W., Sett, S., Thamban, A., Shahane, S., Wang, S., & Miljković, N. (2021) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2020.120563 · Cited by 29 · see citing works
Experimental study on the thermal conductivity for transmission line icing
Zhu, Y.-C., Huang, X.-B., Jia, J.-Y., Tian, Y., Zhao, L., Zhang, Y., Cui, Y.-T., & Li, X.-B. (2016) · Cold Regions Science and Technology · doi:10.1016/j.coldregions.2016.06.009 · Cited by 26 · see citing works
Heat transfer - A review of 2000 literature
Goldstein, R. J., Eckert, E., Ibele, W., Patankar, S., Simon, T., Kuehn, T., Strykowski, P., Tamma, K., Bar-Cohen, A., Heberlein, J., et al. (2002) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(02)00027-3 · Cited by 26 · see citing works
Fu, D.-Y., Zheng, H.-K., Sheng, W., Hao, X.-R., Zhang, X., Chang, S.-N., & Song, M.-J. (2024) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2024.122732 · Cited by 25
Predictive models on the frost formation for plain surface - a review and comparative study
Li, S.-M., & Wang, C.-C. (2021) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2021.105670 · Cited by 24 · see citing works
Experimental Characterization of Frost Growth on a Horizontal Plate Under Natural Convection
Niroomand, S., Fauchoux, M., & Simonson, C. (2018) · Journal of Thermal Science and Engineering Apllications · doi:10.1115/1.4040989 · Cited by 23 · see citing works
Analysis of early-stage frost formation in natural convection over a horizontal cylinder
Tahavvor, A., & Yaghoubi, M. (2009) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2009.02.002 · Cited by 22 · see citing works
Literature Survey of Numerical Heat Transfer (2000–2009): Part II
Shih, T., Arie, M., & Ko, D. I. (2010) · Numerical Heat Transfer Part A Applications · doi:10.1080/10407782.2011.636720 · Cited by 20 · see citing works
Liang, X.-Y., & Wu, L. (2022) · Energy and Buildings · doi:10.1016/j.enbuild.2022.112366 · Cited by 18 · see citing works
An experimental study of the effect of air quality on frosting on cold flat surface
Gong, J., Sun, J., & Li, G. (2017) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2017.02.013 · Cited by 18 · see citing works
Zhao, X., Dong, B., & Li, W.-Z. (2017) · doi:10.1016/j.ijheatmasstransfer.2017.02.050 · Cited by 14
Analysis of Thermal Conductivity of Frost on Cryogenic Finned-tube Vaporizer Using Fractal Method
Chen, S.-P., Yao, S.-T., & Xie, F.-S. (2013) · Energy and Power Engineering · doi:10.4236/epe.2013.54b021 · Cited by 13 · see citing works
“Various empirical or semi-empirical correlations of the density and thermal conductivity were proposed [1-7].”
BackgroundTowards the pseudo-2D modeling of frost growth between cold parallel plates
Coulombe, A., Rahal, M., Fellouah, H., & Poncet, S. (2023) · International journal of thermal sciences · doi:10.1016/j.ijthermalsci.2022.108031 · Cited by 11 · see citing works
Experimental investigations of frost release by hydrophilic surfaces
Liu, Z.-L., Huang, L.-Y., Gou, Y.-J., & Liu, Y.-M. (2010) · Frontiers of Energy and Power Engineering in China · doi:10.1007/s11708-010-0114-x · Cited by 11 · see citing works
“Frost deposited on aircraft wings may cause aerodynamic penalties of lift and drag during take-off [ 2 ].”
BackgroundEFFECTIVE THERMAL CONDUCTIVITY OF FROST CONSIDERINGMASS DIFFUSION AND EDDY CONVECTION
Kandula, M. (2010) · Special Topics & Reviews in Porous Media - An International Journal · doi:10.1615/specialtopicsrevporousmedia.v1.i4.40 · Cited by 10 · see citing works
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“In the crystal growth period, different frost crystal morphologies are developed under different ambient conditions, such as column, plate and dendritic [12].”
Liu, Y., & Kulacki, F. A. (2018) · The Effect of Surface Wettability on the Defrost Process · doi:10.1007/978-3-030-02616-5_2 · Cited by 6 · see citing works
Visualization of cold surface frosting
Xia, P., Fan, L., Xu, C., Diao, Y., Lin, Y., & Lai, F.-Y. (2023) · Journal of Physics, Conference Series · doi:10.1088/1742-6596/2422/1/012013 · Cited by 4 · see citing works
“Sahin [10] divided the frost crystals into flakes and columns and subdivided the flake and column frost crystals according to their morphology.”
BackgroundAbbas, S., Su, H.-O.-H., Noh, S., Lee, M., Ahn, J., & Park, C. W. (2025) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2025.109387 · Cited by 3 · see citing works
A Mathematical Model for Frost Formation on Ground Aircraft
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Frost distribution characteristics of laminar airflow on cold surface of mini-channels
Kwon, J., Kim, D., Huh, C., Koyama, S., & Kwon, Y.-C. (2011) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2011.04.007 · Cited by 3 · see citing works
The effect of environmental parameters on frost formation on a horizontal cylinder
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LNG Station Analysis for the Prediction of Pressure Rise and Vented Emissions
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The Impact of Ice Cover Density on the De-Icing Time of High Direct Current in Transmission Lines
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“Scholars such as Yonko [ 16], Östind [ 17], Ahmet [18], and Shin [19 ] have endeavored to fit calculation formulas for the thermal conductivity of low-density ice layers through experiments and model studies.”
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“The least squares approximation of the experimental data that is used for frost growth model is performed by Sahin [14].”
BackgroundMethodInfluentialNumerical analysis on the frosting performance of a fin-tube evaporator for a refrigerator
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Properties of the Frost Layer Formed on a Cold Flat Surface
Kim, S., Yang, D.-K., & Lee, K.-S. (2003) · Transactions of the Korean Society of Mechanical Engineers B · doi:10.3795/ksme-b.2003.27.3.374
- Authors
- Şahin, A. Z.
- Affiliations
- King Fahd University of Petroleum and Minerals (SA)
- Corresponding author
- Şahin, Ahmet Z.
- ORCID
- Şahin, Ahmet Z.
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 2000-02
- Volume
- 43
- Issue
- 4
- Pages
- 539-553
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2086011728
- Cited by
- 53
- References
- 0
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 4 · 2023: 2 · 2022: 4 · 2021: 3 · 2020: 1 · 2018: 3 · 2017: 4 · 2016: 1 · 2015: 3 · 2014: 1 · 2013: 3 · 2012: 1
- FWCI
- 6.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- Funders
- King Fahd University of Petroleum and Minerals
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Phase Change Materials Research
- Keywords
- frost formation, ice crystal growth, vapor diffusion, sublimation temperature, plate temperature, air temperature
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