The DOI matches its Crossref record; 19 of the 21 references it cites were found in a registry or an index.
Modelling of frost growth and densification
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“In addition, most experimental tests have been con ducted on horizontally assembled plates [12 -17] or fin-and-tube heat exchangers under horizontal air flow conditions [18 -21].”
In the citing paper
“This will result in structural changes in the frost layer that tends to increase both the frost density and thermal conductivity with time.”
From Studies of an air cooler under frost condition (2019) · cites this paper as Le Gall et al. (1997)
In the citing paper
“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.”
From Studies of an air cooler under frost condition (2019) · cites this paper as Le Gall et al. (1997)
In the citing paper
“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.”
From Studies of an air cooler under frost condition (2019) · cites this paper as Le Gall et al. (1997)
In the citing paper
“This so-called 'hand-to-hand' diffusion process, already reported for the snow case (Le Gall and Grillot, 1997), could increase the effective diffusivity.”
From Frosting modeling on a cold flat plate: Comparison of the different assumptions and impacts on frost growth predictions (2016) · cites this paper as Le Gall and Grillot, 1997
In the citing paper
“Finally, the main approach is to develop models based on heat and mass diffusion through the frost layer considered as a porous solid (Jones and Parker, 1975; Kondepudi and O'Neal, 1993; Le Gall and Grillot, 1997; Lee et al., 1997; Na and Webb, 2004a).”
From Frosting modeling on a cold flat plate: Comparison of the different assumptions and impacts on frost growth predictions (2016) · cites this paper as Le Gall and Grillot, 1997
In the citing paper
“Therefore, frost formation on flat plate and cylindrical surface is relatively well known and can be predicted reliably with existing models and correlations.”
From Modeling for predicting frosting behavior of a fin–tube heat exchanger (2006) · cites this paper as [8]
In the citing paper
“Previous researchers assumed that the water-vapor at the frost surface is saturated with the surface temperature, and water-vapor transport through a porous medium is mainly due to Fickian diffusion caused by the gradient of the vapor partial pressure [4,11,13,14].”
From Analysis of the frost growth on a flat plate by simple models of saturation and supersaturation (2005) · cites this paper as [11]
In the citing paper
“Le Gall and Grillot [6] set the frost surface density at a fixed value (25 kg/m 3 ), but did not justify use of this value.”
From New model for frost growth rate (2004) · cites this paper as [6]
In the citing paper
“Tao et al. [10] and Le Gall and Grillot [6] used a saturation model and compared their predicted results to their experimental data. They adjusted the tortuosity factor to force agreement of their model predictions to the experimental data. This resulted in a tortuosity factor greater than 1.0”
From New model for frost growth rate (2004) · cites this paper as [6]
Citations
Cites
Numerical Heat Transfer and Fluid Flow
Patankar, S. V. (2018) · CRC Press eBooks · doi:10.1201/9781482234213 · Cited by 23,458
Numerical Heat Transfer and Fluid Flow
Hsu, C. (1981) · Nuclear Science and Engineering · doi:10.13182/nse81-a20112 · Cited by 15,188
Levenspiel, O. (1999) · Industrial & Engineering Chemistry Research · doi:10.1021/ie990488g · Cited by 9,982
Hartnett, J. P., Irvine, T. F., Cho, Y. I., & Greene, G. A. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,560
Simultaneous Heat, Mass, and Momentum Transfer in Porous Media: A Theory of Drying
Whitaker, S. (1977) · Advances in heat transfer · doi:10.1016/s0065-2717(08)70223-5 · Cited by 1,156
Hinrichsen, O., & Klemm, E. (2016) · Chemical Engineering & Technology · doi:10.1002/ceat.201690063 · Cited by 863
Study 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
A mathematical model for predicting the densification and growth of frost on a flat plate
Tao, Y.-X., Besant, R. W., & Rezkallah, K. S. (1993) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(93)80011-i · Cited by 183
Frost formation with varying environmental parameters
Jones, B. W., & Parker, J. D. (1975) · Journal of Heat Transfer · doi:10.1115/1.3450350 · Cited by 171
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
Effective Thermal Conductivity of Frost
Auracher, H. (1986) · Proceeding of International Symposium on Heat and Mass Transfer in Refrigeration and Cryogenics · doi:10.1615/ichmt.1986.intsymphmtinrefcryo.210 · Cited by 68
Simultaneous Heat and Mass Transfer Accompanied by Phase Change in Porous Insulation
Vafai, K., & Whitaker, S. (1986) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.3246877 · Cited by 60
Incipient Phenomena of Frost Formation
Seki, N., FUKUSAKO, S., MATSUO, K., & UEMURA, S. (1984) · Bulletin of JSME · doi:10.1299/jsme1958.27.2476 · Cited by 33
Unsteady heat and mass transfer with phase changes in an insulation slab: frosting effects
Tao, Y.-X., BESANT, R. W., & REZKALLAH, K. S. (1991) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(91)90139-6 · Cited by 32
Tao, Y.-X., & BESANT, R. W. (1993) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2910665 · Cited by 19
Frost formation: The influence of frost formation and defrosting on the performance of air coolers
Sanders, C. T. (1974) · Research Repository (Delft University of Technology) · Cited by 18
(1969) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 18
Aoki, K., KATAYAMA, K., & Hayashi, Y. (1983) · Bulletin of JSME · doi:10.1299/jsme1958.26.87 · Cited by 17
HEAT TRANSFER IN FROST AND SNOW
Auracher, H. (1978) · International Heat Transfer Conference (IHTC) · doi:10.1615/ihtc6.510 · Cited by 9
Research works printed but not linked: 6
- Padki, 1989, A simple method for modeling the frost formation phenomenon in different geometries, ASHRAE Transactions, 95, 1127
- Tao, 1992, Prediction of spatial and temporal distribution of frost growth on a flat plate under forced convection, Fundamentals of Heat Transfer in Porous Media, ASME HTD-Vol. 193, 131
- O'Neal, 1985, A review of frost formation in simple geometries, ASHRAE Transactions, 91, 267
- Auracher, 1972, Water vapor diffusion and frost formation in capillaries, Bulletin of the International Institute of Refrigeration, Communications B1, B2, and El, Freudenstadt, 477
- Mao, 1992, Measurement and correlations of frost properties with air flow over a flat plate, ASHRAE Transactions, 98, 65
- Mao, 1993, Measurement and correlations of frost properties with laminar airflow at room temperature over a flat plate, ASHRAE Transactions, 99, 739
Cited by
Sorted by citations
Surface engineering for phase change heat transfer: A review
Attinger, D., Frankiewicz, C., Betz, A. R., Schutzius, T., Ganguly, R., Das, A., Kim, C.-J. C. J., & Megaridis, C. (2014) · MRS Energy & Sustainability · doi:10.1557/mre.2014.9 · Cited by 404
Surface engineering for phase change heat transfer: A review
Attinger, D., Frankiewicz, C., Betz, A. R., Schutzius, T. M., Ganguly, R., Das, A., Kim, C., & Megaridis, C. M. (2014) · reroDoc Digital Library · Cited by 227
A fundamental understanding of factors affecting frost nucleation
Na, B., & Webb, R. L. (2003) · International Journal of Heat and Mass Transfer · doi:10.1016/s0017-9310(03)00194-7 · Cited by 225
A Review of Condensation Frosting
Nath, S., Ahmadi, S. F., & Boreyko, J. B. (2016) · Nanoscale and Microscale Thermophysical Engineering · doi:10.1080/15567265.2016.1256007 · Cited by 216
New model for frost growth rate
Na, B., & Webb, R. L. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2003.09.001 · Cited by 212
Metadata
- Authors
- Le Gall, R., Grillot, J. M., & Jallut, C.
- Affiliations
- CEA Grenoble (FR)
- Lyon 1 Université (FR)
- ORCID
- Jallut, C.
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 1997-09
- Volume
- 40
- Issue
- 13
- Pages
- 3177-3187
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2012124706
- Cited by
- 153
- References
- 21
- Citations by year
- 2026: 7 · 2025: 6 · 2024: 5 · 2023: 6 · 2022: 4 · 2021: 10 · 2020: 6 · 2019: 4 · 2018: 15 · 2017: 8 · 2016: 10 · 2015: 2 · 2014: 15 · 2013: 5 · 2012: 1
- FWCI
- 3.69
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- HAL (submittedVersion)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Computational Mechanics › Heat and Mass Transfer in Porous Media
- Physical Sciences › Engineering › Mechanical Engineering › Adsorption and Cooling Systems
- Keywords
- frost growth, frost layer, cold wall, volume averaging, one-dimensional transient model
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