Scaling laws for natural convection boundary layer of a Pr > 1 fluid on a vertical solid surface subject to a sinusoidal heating flux in a linearly stratified ambient

The understanding of the transient behavior of the natural convection boundary layer on a heated vertical solid surface is crucial for numerous applications. In this study, scaling analysis is performed to derive the scaling laws for the major parameters that characterize the transient behavior of n...

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Published inHeat transfer (Hoboken, N.J. Print) Vol. 51; no. 4; pp. 2956 - 2976
Main Authors Lin, Wenxian, Armfield, S. W., Khatamifar, Mehdi
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.06.2022
Subjects
Boundary layers
Direct numerical simulation
Free convection
Heat flux
Heating
natural convection boundary layer
Parameters
Prandtl number
scaling
Scaling laws
Simulation
Sine waves
Solid surfaces
stratification
time‐dependent heat flux
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Summary:The understanding of the transient behavior of the natural convection boundary layer on a heated vertical solid surface is crucial for numerous applications. In this study, scaling analysis is performed to derive the scaling laws for the major parameters that characterize the transient behavior of natural convection boundary layer of a Prandtl number larger than 1 fluid on a vertical solid surface subject to a sinusoidal heating flux in a linearly stratified ambient. It is found that the developed scaling laws are in good agreement with the direct numerical simulation results over wide ranges of Prandtl number, stratification parameter, and frequency of the sinusoidal heat flux.
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content type line 14
ISSN:2688-4534
2688-4542
DOI:10.1002/htj.22431