A semi-empirical transient method for modelling frost formation on a flat plate
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As the frost layer thickens, the insulating effect of the frost layer predominates, resulting in increased thermal resistance of the frost layer and a decrease in heat transfer rate.
“As the frost layer thickens, the insulating effect of the frost layer predominates resulting in an increased thermal resistance of the frost layer and a decrease in heat transfer rate (Sherif et al. [10]).”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as Sherif et al. [10]
In low humidity and low temperature environments, the frost surface temperature will rise to a steady value below the melting point, such that the rate of frost deposition is balanced by the rate of sublimation from the frost.
“In the latter case, the frost surface temperature will rise to a steady value below the melting point, such that the rate of frost deposition is balanced by the rate of sublimation from the frost (Sherif et al. [10]).”
From Frost growth and densification in laminar flow over flat surfaces (2011) · cites this paper as [10]
Sherif et al. (1993) proposed an equation to calculate the new frost density after one cycle of melting and refreezing.
“Sherif et al. (1993) proposed a way to account for this changes by introducing the following equation to calculate the new frost density after one cycle of melting and refreezing has occurred:”
From Studies of an air cooler under frost condition (2019) · cites this paper as Sherif et al. (1993)
During permeation, the frost layer undergoes a cycle of thinning and densification due to melting and subsequent formation on an icy sub layer at the top of the deposit.
“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 Sherif et al. (1993)
Only Sherif et al. (1993) and Le Gall et al. (1997) proposed models to account for the frost characteristic of partial melting and refreezing that occurs when the frost surface reaches 0 °C (permeation).
“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 Sherif et al. (1993)
Structural changes in the frost layer during permeation tend to increase both frost density and thermal conductivity with time.
“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 Sherif et al. (1993)
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 [4]
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A fundamental understanding of factors affecting frost nucleation
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Frost growth and densification in laminar flow over flat surfaces
Kandula, M. (2011) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2011.02.056 · Cited by 141 · 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
An experimental study of frost formation on a horizontal cylinder under cross flow
Lee, Y. B., & Ro, S. T. (2001) · International Journal of Refrigeration · doi:10.1016/s0140-7007(00)00073-6 · Cited by 95 · see citing works
Transient two-dimensional model of frost formation on a fin-and-tube heat exchanger
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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
Modeling of frost formation over parallel cold plates
Ismail, K. A. R., & Salinas, C. S. (1999) · International Journal of Refrigeration · doi:10.1016/s0140-7007(98)00069-3 · Cited by 61 · see citing works
Frost growth around a cylinder in a wet air stream
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Modeling the Cooling Process Path of a Dehumidifying Coil Under Frosting Conditions
Mago, P. J., & Sherif, D. S. A. (2002) · Journal of Heat Transfer · doi:10.1115/1.1494451 · Cited by 20 · see citing works
Studies of an air cooler under frost condition
Cheng, Y. C. (2019) · doi:10.32657/10356/6557
“Sherif et al. (1993) presented simple method for modeling the average properties of frost in different geometries.”
BackgroundMethod
- Authors
- Sherif, S. A., Raju, S. P., Padki, M. M., & Chan, A. B.
- Affiliations
- University of Florida (US)
- University of Washington (US)
- University of Miami (US)
- Massachusetts Institute of Technology (US)
- ORCID
- Sherif, S.A
- Venue
- International Journal of Refrigeration
- Publisher
- Elsevier BV
- Published
- 1993-01
- Volume
- 16
- Issue
- 5
- Pages
- 321-329
- ISSN
- 0140-7007 (ISSN-L)
- OpenAlex
- W2016155203
- Cited by
- 52
- References
- 18
- Citations by year
- 2026: 4 · 2025: 1 · 2024: 2 · 2023: 1 · 2022: 1 · 2021: 5 · 2019: 2 · 2018: 1 · 2016: 2 · 2015: 2 · 2014: 4 · 2013: 2 · 2012: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Refrigeration (publishedVersion)
- Funders
- University of Miami
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Refrigeration and Air Conditioning Technologies
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanics of Materials › Freezing and Crystallization Processes
- Keywords
- frost formation, frost thickness, frost density, forced convection, flat plate, transient thermal model, Euler method, mass transfer coefficient, convective heat transfer coefficient, empirical correlations
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