Simulation of frost growth and densification on horizontal plates with supersaturated interface condition

Chen, Guang; Deng, Xianzhi; Zhang, Guo; Yan, Xiaohong

doi:10.1016/j.ijheatmasstransfer.2018.12.133

Cited by 31Refrigeration and Air Conditioning TechnologiesHeat and Mass Transfer in Porous MediaAdsorption and Cooling Systems

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Simulation of frost growth and densification on horizontal plates with supersaturated interface condition

Chen, Guang, Deng, Xianzhi, Zhang, Guo, Yan, Xiaohong·2019·International Journal of Heat and Mass Transfer

DOI 10.1016/j.ijheatmasstransfer.2018.12.133

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The effective diffusion coefficient provides a more accurate representation of wet-air diffusion within the frost layer than conventional diffusion coefficients.
“Therefore, the effective diffusion coefficient [25] provides a more accurate representation of wet-air diffusion within the frost layer.”
From Analysis of long-term growth characteristics of frost layer on inclined cold surface of microchannel heat exchanger (2026) · cites this paper as [25]
The water vapor density gradient inside the frost layer near the plate surface was significantly smaller than that near the frost surface.
“For water vapor density, its gradient inside the frost layer near the plate surface was significantly smaller than that near the frost surface [50,80,86,88,90,91].”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as [91]

Analysis of transport phenomena
Deen, W. M. (1998) · Cited by 1,239
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 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
A study of frost growth and densification on flat surfaces
Hermes, C. J. L., Piucco, R. O., Barbosa, J. R., & Melo, C. (2009) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2008.10.006 · Cited by 257
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A review of frosting in air-to-air energy exchangers
Rafati Nasr, M., Fauchoux, M., Besant, R. W., & Simonson, C. J. (2014) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2013.10.038 · Cited by 191
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
Frost formation on fin-and-tube heat exchangers. Part I—Modeling of frost formation on fin-and-tube heat exchangers
Seker, D., Karatas, H., & Egrican, N. (2004) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2003.12.003 · Cited by 147
Dimensionless correlations of frost properties on a cold plate
Yang, D.-K., & Lee, K.-S. (2004) · International Journal of Refrigeration · doi:10.1016/s0140-7007(03)00118-x · Cited by 134
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An analytical solution to the problem of frost growth and densification on flat surfaces
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State-of-the-art review of frost deposition on flat surfaces
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Frost formation and development on flat plate: Experimental investigation and comparison to predictive methods
Leoni, 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 80
A mathematical model for frost growth and densification on flat surfaces
ElCheikh, A., & Jacobi, A. M. (2014) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.05.054 · Cited by 79
Frosting modeling on a cold flat plate: Comparison of the different assumptions and impacts on frost growth predictions
Brèque, F., & Nemer, M. (2016) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2016.06.010 · Cited by 70
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
The behavior of frost layer growth under conditions favorable for desublimation
Lee, J., & Lee, K.-S. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2017.12.039 · Cited by 68
Numerical modeling of frost growth and densification on a cold plate using frost formation resistance
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Negrelli, S., & Hermes, C. J. L. (2015) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2015.05.021 · Cited by 59
A semi-empirical model for predicting frost accretion on hydrophilic and hydrophobic surfaces
Hermes, C., Sommers, A., Gebhart, C. W., & Nascimento, V. (2017) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2017.09.022 · Cited by 31
Modeling spatial and temporal frost formation with distributed properties on a flat plate using the orthogonal collocation method
Benítez, T., & Sherif, S. A. (2017) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2017.01.026 · Cited by 27
A finite volume method to solve the frost growth using dynamic meshes
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Lee, Y.-K., Park, J., & Han, C. (2017) · Industrial & Engineering Chemistry Research · doi:10.1021/acs.iecr.7b03480 · Cited by 19
Developing empirical correlations for frost thickness and air face velocity degradation for microchannel heat exchangers used in heat pump applications under frosting conditions
Moallem, E., Hong, T., Cremaschi, L., & Fisher, D. E. (2013) · Science and Technology for the Built Environment · doi:10.1080/10789669.2013.812500 · Cited by 9
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

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Research works printed but not linked: 1

Auracher, 1972, Water vapor diffusion and frost formation in capillaries, Bull. Int. Inst. Refrig., 477

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A mathematical model for frost growth and densification on flat surfaces
ElCheikh, A., & Jacobi, A. M. (2014) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.05.054 · Cited by 79
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 102
Mass transfer on and within a frost layer
Na, B., & Webb, R. L. (2004) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2003.08.023 · Cited by 129
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
Modeling of frost build-up on parallel-plate channels under supersaturated air-frost interface conditions
Loyola, F., Nascimento, V., & Hermes, C. (2014) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2014.08.055 · Cited by 25

Authors: Chen, G., Deng, X., Zhang, G., & Yan, X.
Affiliations: Xi'an Jiaotong University (CN)
Corresponding author: Yan, Xiaohong
ORCID: Chen, Guang
Yan, Xiaohong
Venue: International Journal of Heat and Mass Transfer
Publisher: Elsevier BV
Published: 2019-04
Volume: 133
Pages: 426-434
ISSN: 0017-9310 (ISSN-L)
DOI: 10.1016/j.ijheatmasstransfer.2018.12.133
OpenAlex: W2905924810
Cited by: 31
References: 30
Citations by year: 2026: 5 · 2025: 7 · 2024: 5 · 2023: 2 · 2022: 7 · 2021: 3 · 2020: 2
FWCI: 0.80
Type: journal article
Language: en
Open access: closed
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
Locations: International Journal of Heat and Mass Transfer (publishedVersion)
Funders: National Natural Science Foundation of China (51576157)
Fundamental Research Funds for the Central Universities
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, horizontal plate, water vapor supersaturation, interface movement, mass transfer coefficient, water vapor diffusion, water vapor absorption, convective mass transfer

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Simulation of frost growth and densification on horizontal plates with supersaturated interface condition

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