Modeling of frost formation over parallel cold plates
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Existing frosting models have focused on predicting heat and mass transfer characteristics at surfaces of basic geometries such as a flat plate or cylindrical surface.
“Existing frosting models have focused on predicting the characteristics of heat and mass transfer at the surfaces of basic geometries, such as a flat plate or cylindrical surface [1-12].”
From Performance prediction of a fin-and-tube heat exchanger considering air-flow reduction due to the frost accumulation (2013) · cites this paper as [7]
Frost formation on flat plate and cylindrical surfaces is relatively well known and can be predicted reliably with existing models and correlations.
“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 [7]
Cites
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 · see citing works
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 · see citing works
(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
(1989) · ASHRAE winter conference papers · Cited by 69 · see citing works
A 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 · 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 · 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
Prediction 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 · see citing works
Mesoscale investigation of frost formation on a cold surface
Wu, X., Dai, W., Xu, W., & Tang, L. (2007) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2006.11.002 · Cited by 118 · see citing works
Frosting model for predicting macroscopic and local frost behaviors on a cold plate
Kim, D., Kim, C., & Lee, K.-S. (2015) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.11.048 · Cited by 103 · see citing works
Modeling for predicting frosting behavior of a fin–tube heat exchanger
Yang, D.-K., Lee, K.-S., & Song, S. (2006) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2005.09.022 · Cited by 94 · see citing works
Transient two-dimensional model of frost formation on a fin-and-tube heat exchanger
Lenic, K., Trp, A., & Frankovic, B. (2009) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2008.06.005 · Cited by 92 · 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
Fin spacing optimization of a fin-tube heat exchanger under frosting conditions
Yang, D.-K., Lee, K.-S., & Song, S. (2006) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2006.01.016 · Cited by 81 · see citing works
Modeling of frosting behavior on a cold plate
Yang, D.-K., & Lee, K.-S. (2005) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2004.08.001 · Cited by 77 · 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
Frost formation on a cold surface under turbulent flow
Yang, D.-K., Lee, K.-S., & Cha, D.-J. (2006) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2005.07.003 · Cited by 75 · see citing works
Ye, H.-Y., & Lee, K.-S. (2013) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2013.08.026 · Cited by 70 · see citing works
A semi-empirical correlation for the frost density
Hermes, C. J. L., Loyola, F. R., & Nascimento, V. S. (2014) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2014.02.008 · Cited by 69 · see citing works
Modeling of frost formation over parallel cold plates considering a two-dimensional growth rate
Armengol, J. M., Salinas, C. T., Xamán, J., & Ismail, K. A. R. (2016) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2016.01.017 · Cited by 69 · see citing works
Self-citationA 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
Modeling of frost layer growth considering frost porosity
Lee, J., Kim, J., Kim, D. R., & Lee, K.-S. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2018.05.098 · Cited by 52 · see citing works
Deformation of freezing water droplets on a cold copper surface
Wang, J., Liu, Z., Gou, Y., Zhang, X., & Cheng, S. (2006) · Science China Technological Sciences · doi:10.1007/s11431-006-2017-y · Cited by 48 · see citing works
Liu, X., Yu, J., & Yan, G. (2020) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2019.114634 · Cited by 47 · see citing works
A Semi-Empirical Model for Predicting Frost Properties
Li, S.-M., Yang, K., & Wang, C. (2021) · Processes · doi:10.3390/pr9030412 · Cited by 42 · see citing works
Study of the thermal behavior of a latent heat cold storage unit operating under frosting conditions
Simard, A., & Lacroix, M. (2003) · Energy Conversion and Management · doi:10.1016/s0196-8904(02)00183-8 · Cited by 40 · see citing works
Getu, H. M., & Bansal, P. K. (2007) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2007.02.003 · Cited by 31 · see citing works
Berdja, M., Hamid, A., & Sari, O. (2018) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2018.10.003 · Cited by 30 · see citing works
Evaporator Frosting in Refrigerating Appliances: Fundamentals and Applications
Hermes, C., Boeng, J., da Silva, D. D., Knabben, F. T., & Sommers, A. (2021) · Energies · doi:10.3390/en14185991 · Cited by 26 · see citing works
Frost behavior on a fin considering the heat conduction of heat exchanger fins
Kim, J.-S., Lee, K.-S., & Yook, S.-J. (2009) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2008.12.023 · Cited by 25 · see citing works
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
Simulation Model of a Low-Temperature Supermarket Refrigeration System
Getu, H.-M., & Bansal, P. K. (2006) · Science and Technology for the Built Environment · doi:10.1080/10789669.2006.10391454 · Cited by 21 · see citing works
Farzaneh, M., Zgheib, N., Sherif, S. A., & Balachandar, S. (2022) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2022.123233 · Cited by 15 · see citing works
Ye, H.-Y., Park, J., & Lee, K.-S. (2014) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.08.069 · Cited by 17 · see citing works
Hou, Z., Yang, Z., Zhao, Y., Zhao, X., Sun, B., Wang, G., & Xie, T. (2023) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2023.122033 · Cited by 15 · see citing works
Generalized lattice Boltzmann model for frosting.
Lei, T.-M., Luo, K. H., & Wu, D. (2019) · Physical Review E · doi:10.1103/physreve.99.053301 · Cited by 11 · see citing works
Bai, X., Liu, S., Deng, S., Zhang, L., & Wei, M. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2022.119933 · Cited by 13 · see citing works
Critical operating conditions for prevention of frost formation in fin-tube heat exchangers
Ye, H.-Y., Park, J.-S., & Lee, K.-S. (2014) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.04.044 · Cited by 13 · see citing works
New frost property correlations for a flat-finned-tube heat exchanger
Getu, H. M., & Bansal, P. K. (2011) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2010.11.007 · Cited by 12 · see citing works
Experimental study on behavior of initial frost crystal formation under lower water vapor pressures
Qu, K., Xu, X., & Duan, Z. (2006) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2006.04.001 · Cited by 12 · see citing works
Frost formation mechanism analysis and frost growth prediction on ground aircraft
Dan-dan, X., & Wang, L. (2013) · Heat and Mass Transfer · doi:10.1007/s00231-013-1178-z · Cited by 11 · see citing works
Inan, C., Newell, T. A., & Eǧrican, A. N. (2000) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · Cited by 11 · see citing works
Correlation for frost properties on a cold cylinder surface in cross flow
Barzanoni, Y., Tabrizi, H. B., Noorshams, O., & Eftekhari, H. (2012) · Heat and Mass Transfer · doi:10.1007/s00231-012-0993-y · Cited by 10 · see citing works
Frost Layer Growth Based on High-Resolution Image Analysis
Janssen, D., Mohs, W. F., & Kulacki, F. A. (2016) · Journal of Thermal Science and Engineering Applications · doi:10.1115/1.4032536 · Cited by 5 · see citing works
Choi, B.-J., & Jeong, J. H. (2020) · Journal of Mechanical Science and Technology · doi:10.1007/s12206-020-1034-2 · Cited by 4 · see citing works
Recent advances in modelling of frost formation for mechanical systems
Tao, Y. (2025) · Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · doi:10.1098/rsta.2024.0369 · Cited by 3 · see citing works
(2015) · Cited by 3 · see citing works
Self-citationXia, Y., Hrnjak, P., & Jacobi, A. M. (2006) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign) · Cited by 3 · see citing works
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 · see citing works
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 3 · see citing works
Liu, Y.-M., Liu, Z., & Ling-Yan, H. (2010) · Acta Physica Sinica · doi:10.7498/aps.59.7991 · Cited by 1 · see citing works
Cost Minimization for Hot Gas Defrost System
Dansilasirithavorn, J. (2009) · doi:10.15368/theses.2009.91 · Cited by 1 · see citing works
Studies of an air cooler under frost condition
Cheng, Y. C. (2019) · doi:10.32657/10356/6557
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
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 · see citing works
Cost Minimization for Hot Gas Defrost System
Obispo, S. L. (2009)
2014 Problem 8: Freezing Droplets
Fan, Z., Zhang, Y., Wang, S., & Gao, W. (2016) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814740340_0007
Song, M., & Zhang, L. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-95457-0.00009-5
Prediction of Frost Formation on Aircraft Wing Skin Before Takeoff in Winter
Zheng, M., Chen, W., Han, X., & Guan, N. (2025) · Journal of Physics Conference Series · doi:10.1088/1742-6596/3056/1/012009
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
Simulation of frost deposition on the surface of elliptical cylinder
Kuś, J., & Fodemski, T. R. (2007) · Archives of Thermodynamics
- Authors
- Ismail, K. A. R., & Salinas, C. S.
- Affiliations
- Universidade Estadual de Campinas (UNICAMP) (BR)
- ORCID
- Ismail, K.A.R.
- Venue
- International Journal of Refrigeration
- Publisher
- Elsevier BV
- Published
- 1999-08
- Volume
- 22
- Issue
- 5
- Pages
- 425-441
- ISSN
- 0140-7007 (ISSN-L)
- OpenAlex
- W2002087447
- Cited by
- 61
- References
- 7
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 1 · 2023: 1 · 2022: 2 · 2021: 4 · 2020: 1 · 2019: 2 · 2018: 3 · 2017: 2 · 2016: 3 · 2015: 3 · 2014: 5 · 2013: 2 · 2012: 2
- FWCI
- 2.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Refrigeration (publishedVersion)
- Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- 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 › Adsorption and Cooling Systems
- Keywords
- frost formation, ice crystal growth, local volume averaging, one-dimensional transient model, frost density, void fraction
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