Dimensionless Model of Frost Roughness on Cold Flat Plate Under Forced Convection
Abstract
Laboratory experiments were conducted to generate empirical dimensionless correlations for estimating surface roughness of frost formed on a cold flat plate under forced convection. Environmental variables, including wall temperature , air velocity , relative humidity , and air temperature , were considered when generating the correlations. The test conditions were chosen to simulate the environmental conditions experienced by cold-soaked fuel frost formation on the upper surface of airplane wings. Experimental conditions included wall temperatures from to , freestream temperatures from 8 to , relative humidities from 60 to 91%, and air velocities from 0.5 to . The root-mean-square height, skewness, and equivalent sand-grain roughness height of frost were correlated as functions of the Reynolds number, absolute humidity, and dimensionless temperatures. The comparison between the correlation of frost equivalent sand-grain roughness height in this study and a previous model revealed the importance of test surface geometry on frost roughness formation.
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Zhang et al. [24,46,47] presented a three-dimensional frost surface elevation map and empirical correlations of frost root-mean-square surface roughness and frost skewness.
“By a threedimensional photogrammetric method, Zhang et al. [24,46,47] pre sented a three-dimensional frost surface elevation map and empirical correlations of frost root-mean-square surface roughness and frost skewness.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [46]
Frost skewness was increased with an increase in wall temperature and air relative humidity, but decreased with an increase in air temperature and velocity.
“frost skewness was increased with an increase in wall temperature and air relative humidity, but decreased with an increase in air temperature and velocity.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [46]
Zhang et al. [24,46,47] presented a three-dimensional frost surface elevation map and empirical correlations of frost root-mean-square surface roughness and frost skewness.
“By a threedimensional photogrammetric method, Zhang et al. [24,46,47] pre sented a three-dimensional frost surface elevation map and empirical correlations of frost root-mean-square surface roughness and frost skewness.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [47]
Frost skewness was increased with an increase in wall temperature and air relative humidity, but decreased with an increase in air temperature and velocity.
“frost skewness was increased with an increase in wall temperature and air relative humidity, but decreased with an increase in air temperature and velocity.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [47]
The maximum frost root-mean-square surface roughness was decreased with an increase in air temperature, velocity, and wall temperature, but increased with an increase in air relative humidity.
“the maximum frost root-mean-square surface roughness was decreased with an increase in air temperature, velocity, and wall temperature, but increased with an increase in air relative humidity.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [47]
The maximum frost root-mean-square surface roughness was decreased with an increase in air temperature, velocity, and wall temperature, but increased with an increase in air relative humidity.
“the maximum frost root-mean-square surface roughness was decreased with an increase in air temperature, velocity, and wall temperature, but increased with an increase in air relative humidity.”
From Frosting mechanism and behaviors on surfaces with simple geometries: A state-of-the-art literature review (2022) · cites this paper as Zhang et al. [46]
Cites
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<i>Review Article:</i> A Critical Review of Properties and Models for Frost Formation Analysis
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Zhang, L., Song, M., Deng, S., Shen, J., & Dang, C. (2022) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2022.118984 · Cited by 83 · see citing works
- Authors
- Zhang, T., O’Neal, D. L., McClain, S. T., & Riley, J. T.
- Affiliations
- Baylor University (US)
- Federal Aviation Administration (US)
- Venue
- Journal of Aircraft
- Published
- 2021-11
- Volume
- 58
- Issue
- 6
- Pages
- 1375-1385
- ISSN
- 0021-8669 (ISSN-L)
- 1533-3868
- OpenAlex
- W3178909483
- Cited by
- 2
- References
- 11
- Citations by year
- 2023: 1 · 2022: 1
- FWCI
- 0.26
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Aircraft (publishedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Icing and De-icing Technologies
- Physical Sciences › Engineering › Mechanical Engineering › Heat Transfer Mechanisms
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Keywords
- forced convection, dimensionless correlation, root mean square height, skewness, relative humidity, wall temperature, air velocity
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