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 in | Heat transfer (Hoboken, N.J. Print) Vol. 51; no. 4; pp. 2956 - 2976 |
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| Format | Journal Article |
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| Abstract | 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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| AbstractList | 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. |
| Author | Khatamifar, Mehdi Armfield, S. W. Lin, Wenxian |
| Author_xml | – sequence: 1 givenname: Wenxian orcidid: 0000-0001-5264-2097 surname: Lin fullname: Lin, Wenxian email: wenxian.lin@jcu.edu.au organization: James Cook University – sequence: 2 givenname: S. W. surname: Armfield fullname: Armfield, S. W. organization: The University of Sydney – sequence: 3 givenname: Mehdi orcidid: 0000-0001-6273-7655 surname: Khatamifar fullname: Khatamifar, Mehdi organization: James Cook University |
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| SubjectTerms | 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 |
| Title | 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 |
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