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
Overview
Integrity signals
Registry
Cites
Statistics
Verification
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
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
Items 101–153 of 153
Numerical simulations of frost growth using mixture model on surfaces with different wettability
Shahane, S., Shen, Y., & Wang, S. (2021) · Numerical Heat Transfer, Part A Applications · doi:10.1080/10407782.2023.2176955 · Cited by 5
Comparison of melting frost layers after 2 frozen methods in pork cuts (longissimus dorsi)
Meléndez‐Pérez, R., Rosas-Mendoza, M. E., Mercado-Márquez, C., Velazquez-Castillo, R. R., & Arjona‐Román, J. L. (2011) · Procedia Food Science · doi:10.1016/j.profoo.2011.09.056 · Cited by 4
Zhang, X., Li, K., Zhan, B., Yang, Q., Wang, Z., Zhang, L., & Song, M. (2025) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2025.128640 · Cited by 3
A Mathematical Model for Frost Formation on Ground Aircraft
Wang, L.-W., Xu, D., & Xing, Z.-W. (2011) · Applied Mechanics and Materials · doi:10.4028/www.scientific.net/amm.141.147 · Cited by 3
The effect of surface wettability on frost growth and densification on flat plates
ElCheikh, A. (2013) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · Cited by 3
Numerical Modelling of Frost Formation of Flat Surface
Dave, T., Shah, M., & Singh, V. N. (2017) · Journal of The Institution of Engineers (India) Series C · doi:10.1007/s40032-017-0364-z · Cited by 3
Hao, Y., Zheng, H., Ma, C., Fu, D.-Y., Sheng, W., Chen, X.-Z., Song, M., & Dang, C.-B. (2026) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2025.128091 · Cited by 2
Zheng, P., Wang, T., Suo, W., Ohki, T., Iwamoto, T., Tanaka, M., Shi, S., Liu, S., Yang, P., & Liu, Y. (2025) · Results in Engineering · doi:10.1016/j.rineng.2025.108220 · Cited by 2
Modeling of frost accretion on microchannel evaporators for household refrigerators
Boeng, J., de Araujo, T. E. H. R. P., Machado, M. W., & Stahelin, R. (2026) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2026.131390 · Cited by 2
Unsteady heat and mass transfer during frost formation in a fin-and-tube heat exchanger.
Lenić, K., Trp, A., & Franković, B. (2006) · Cited by 2
Maldonado, P. A. D., da Silva, R. D. C. R., Salinas, C. T., Biglia, F. M., & Alves, T. A. (2021) · Thermal Science and Engineering Progress · doi:10.1016/j.tsep.2021.101138 · Cited by 2
Safikhani, H., & Shabani, H. (2020) · International Journal of Engineering · doi:10.5829/ije.2020.33.12c.17 · Cited by 2
Dimensionless Model of Frost Roughness on Cold Flat Plate Under Forced Convection
Zhang, T., O’Neal, D. L., McClain, S. T., & Riley, J. T. (2021) · Journal of Aircraft · doi:10.2514/1.c036066 · Cited by 2
Leoni, A. (2017) · theses.fr (ABES) · doi:10.70675/f052b4afz1f26z4ed9zbeaez6d56015b3f69 · Cited by 2
Lin, Z.-M., Hou, Y.-F., Wu, L.-K., & Wang, L.-B. (2026) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2026.129176 · Cited by 1
Sedoni, R., Santangelo, P. E., Angeli, D., Romani, M., & Fioravanti, L. (2025) · Journal of Physics Conference Series · doi:10.1088/1742-6596/2940/1/012015 · Cited by 1
A Unified Review of Physical Modeling of Heat and Mass Transfer Processes in Frosting and Icing
Balachandar, S., & Sherif, S. A. (2026) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4070930 · Cited by 1
Xu, Z., Redo, M. A., Wang, L., Llave, Y., Agui, H., Giannetti, N., Saito, K., & Watanabe, M. (2026) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2026.113040 · Cited by 1
Chen, J., PARK, Y., & Wang, S. (2026) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2026.131303 · Cited by 1
da Silva, R. D. C. R., Salinas, C. T., Delgado, P. A., & Ismail, K. A. R. (2014) · Defect and diffusion forum/Diffusion and defect data, solid state data. Part A, Defect and diffusion forum · doi:10.4028/www.scientific.net/ddf.353.121 · Cited by 1
A New Dynamic Heat Exchanger Model with Frosting and Defrosting
Qiao, H., Aute, V., & Radermacher, R. (2014) · Purdue e-Pubs (Purdue University System) · Cited by 1
MATHEMATICAL MODELLING OF FROST LAYER GROWTH IN A FIN-AND-TUBE HEAT EXCHANGER
Lenić, K., Trp, A., & Franković, B. (2007) · Cited by 1
Hertle, E., van Buren, S., Figueiredo, P., Kneer, R., & Rohlfs, W. (2017) · E3S Web of Conferences · doi:10.1051/e3sconf/20172200064 · Cited by 1
The optimal defrosting condition of an air source heat pump based on entropy analysis
Wei, D., Li, Y.-C., & Zou, S.-H. (2020) · Energy Sources, Part A: Recovery, Utilization, and Environmental Effects · doi:10.1080/15567036.2020.1801897 · Cited by 1
AIR-SIDE HEAT TRANSFER AUGMENTATION OF A REFRIGERATOR EVAPORATOR USING VORTEX GENERATION
Sommers, A. D., & Jacobi, A. M. (2004) · Purdue e-Pubs (Purdue University System) · Cited by 1
Controlled Solid-Vapour CO2 phase transitions in methane rich streams applied to biogas upgrading
Haddad, S. (2019) · theses.fr (ABES) · doi:10.70675/5ccb2728z8da0z40d6z9498z3697287511a5 · Cited by 1
Studies of an air cooler under frost condition
Cheng, Y. C. (2019) · doi:10.32657/10356/6557
“Le Gall et al. (1997) introduced a variable, volumetric fraction, for the water mass redistribution to the underlying frost layer.”
BackgroundMethodInfluentialFrost Formation Phenomenon in a Fin-and-Tube Heat Exchanger
Lenić, K., & Trp, A. (2008) · University of Zagreb University Computing Centre (SRCE)
Truster, N. L., Puleo, C. E., Caraballo, E. J., & Sommers, A. D. (2014) · Purdue e-Pubs (Purdue University System)
A Simple Frost Model for Calculation of the Frost Thickness over Ground Aircraft Surfaces
Wang, L. W., & Xu, D. (2011) · Applied Mechanics and Materials · doi:10.4028/www.scientific.net/amm.121-126.667
Prediction of Frost Layer Growth on a Cold Plate
Ji, S., Lee, G.-S., & Yeo, M.-S. (2002) · Transactions of the Korean Society of Mechanical Engineers B · doi:10.3795/ksme-b.2002.26.9.1325
Resolution and Analysis for Quasi-Stable Frost Forming Model
Wang, J., & Wang, H. X. (2011) · Advanced materials research · doi:10.4028/www.scientific.net/amr.213.363
Computation and Analysis of Frost Formation on Ground Aircraft
Wang, L. W., & Xu, D. (2012) · Advanced materials research · doi:10.4028/www.scientific.net/amr.490-495.166
Simulación del depósito de Escarcha en superficies frías
Gatica, J., Pita, V. A., & Lobo, N. D. C. (2009) · Información tecnológica · doi:10.4067/s0718-07642009000200014 · Cited by 1
da Silva, R. D. C. R., Salinas, C. T., & Ismail, K. A. R. (2014) · Advanced materials research · doi:10.4028/www.scientific.net/amr.875-877.771
Development of scaffolds for oesophageal tissue engineering
Leong, M. F. (2009) · doi:10.32657/10356/47257
Frost Growth on Cold Flat Plate: a Correlation for the Diffusion Resistance Factors
Gatica, J. A., Pita, V. A., & Lobo, N. D. C. (2006) · Springer eBooks · doi:10.1007/1-4020-5370-3_353
Ribeiro, D. S. R. D. C., Salinas, S. C. T., & Ismail, K. A. R. (2013) · Engineering Research technical reports · doi:10.32426/engresv4n1-001
Numerical simulation of frost growth and densification using deformable and static grids
Bartrons, E. (2018) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-123111
Liu, Y., & Kulacki, F. A. (2018) · SpringerBriefs in applied sciences and technology · doi:10.1007/978-3-030-02616-5_2
Prediction of frosting process on cold wall surface based on ANN with back propagation algorithm
Sun, J., Ma, Z., & Tian, J. (2023) · Thermal Science · doi:10.2298/tsci221126055s
Frost Formation over an Inclined Plate Under Natural Convection with Lattice–Boltzmann Method
Seddigh, G., & Tahavvor, A. R. (2024) · Heat Transfer Engineering · doi:10.1080/01457632.2024.2362541
Song, M., & Zhang, L. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95457-0.00009-5
Measurement and calculation of frost characteristics on cold surfaces
Song, M., & Zhang, L. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95457-0.00006-x
PRELIMINARY THERMODYNAMIC ASESSEMENT OF A REFRIGERATION SYSTEM WITH A PCM BASED DEFROSTING
Apostol, V. G., Pop, H., Prisecaru, T. I., IONIŢĂ, C., Douri, J. A., CHIRIAC, A., & PAVEL, C. C. (2025) · INMATEH Agricultural Engineering · doi:10.35633/inmateh-75-44
Study of low temperature processes for non-reactive elimination of tars from the producer gas
Harb, R. (2021) · theses.fr (ABES) · doi:10.70675/431133d5ze9e6z46a0z8806z967ca3fb9a52
Numerical study of frost formation on an industrial food freezing system
Badri, D. (2021) · theses.fr (ABES) · doi:10.70675/18ef7f42z85f6z4cf0z901dzac4832053863
Simulation of Frost Formation on Cylinders Under Natural Convection Using Lattice Boltzmann Method
Niazmand, G., Tahavvor, A. R., & Abarghoui, F. K. (2026) · Heat Transfer Engineering · doi:10.1080/01457632.2026.2676923
Xu, Z. X., Redo, M. A., Wang, L., Llave, Y., & Watanabe, M. (2026) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2026.107106
Modeling for Prediction of Frost Formation Phenomena on a Cold Plate
Yang, D.-K., Kim, J. S., & Lee, K.-S. (2004) · Transactions of the Korean Society of Mechanical Engineers B · doi:10.3795/ksme-b.2004.28.6.665
Frost Formation in a Straight Duct under Turbulent Flow
Yang, D.-K., & Lee, K.-S. (2003) · Transactions of the Korean Society of Mechanical Engineers B · doi:10.3795/ksme-b.2003.27.8.1114
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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
