Frost deposition in a parallel plate channel under laminar flow conditions
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At higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.
“Luer and Beer (2000) also observed that at higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.”
From Studies of an air cooler under frost condition (2019) · cites this paper as Luer and Beer (2000)
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 [10]
Reliance on homogenized surface roughness resulted in an average 22.52% deviation in frost thickness.
“Nonetheless, reliance on homogenized surface roughness resulted in an average 22.52% deviation in frost thickness.”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as [26]
The frost-growth stage is of particular significance because it governs the structural and thermophysical properties of the frost layer.
“Among these, the frost-growth stage is of particular significance because it governs the structural and thermophysical properties of the frost layer [23 -26].”
From A physics-informed quasi-steady frosting model with coupled heat–mass transfer for predicting frost layer growth (2026) · cites this paper as [26]
Water-vapor transport through a porous medium is mainly due to Fickian diffusion caused by the gradient of the vapor partial pressure.
“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 [14]
Cited by
Sorted by citations
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
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
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
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
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
Observations of early-stage frost formation on a cold plate in atmospheric air flow
Cheng, C.-H., & Wu, K.-H. (2003) · Journal of Heat Transfer · doi:10.1115/1.1513576 · Cited by 66 · see citing works
Moallem, E., Padhmanabhan, S., Cremaschi, L., & Fisher, D. E. (2012) · International Journal of Refrigeration · doi:10.1016/j.ijrefrig.2011.08.010 · Cited by 61 · see citing works
Ribeiro, R. S., da Silva, D. L., & Hermes, C. J. L. (2018) · Journal of the Brazilian Society of Mechanical Sciences and Engineering · doi:10.1007/s40430-018-1401-4 · Cited by 1 · see citing works
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 · see citing works
Studies of an air cooler under frost condition
Cheng, Y. C. (2019) · doi:10.32657/10356/6557
“Luer and Beer (2000) also observed that at higher Reynolds numbers, the frost layer is almost homogeneous, with the leading edge thickness remaining near constant and the downstream height increasing.”
Background
- Authors
- Lüer, A., & Beer, H.
- Affiliations
- Technische Universität Darmstadt (DE)
- Corresponding author
- Beer, Hans
- Venue
- International Journal of Thermal Sciences
- Publisher
- Elsevier BV
- Published
- 2000-01
- Volume
- 39
- Issue
- 1
- Pages
- 85-95
- ISSN
- 1290-0729 (ISSN-L)
- OpenAlex
- W2009212526
- Cited by
- 64
- References
- 0
- Citations by year
- 2026: 4 · 2025: 3 · 2024: 3 · 2023: 1 · 2022: 2 · 2021: 5 · 2020: 3 · 2019: 3 · 2018: 4 · 2017: 2 · 2016: 1 · 2015: 1 · 2014: 2 · 2013: 2
- FWCI
- 6.11
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Thermal Sciences (publishedVersion)
- TUbilio (Technical University of Darmstadt) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Heat Transfer and Optimization
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Keywords
- frost formation, frost layer growth, parallel plate channel, laminar forced convection, heat and mass transfer, frost thickness, air humidity, air velocity, plate temperature, two-phase model
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