Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

O. Shishkina, S. Horn, S. Wagner, E.S.C. Ching

Research output: Contribution to journalArticle

31 Citations (Scopus)
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Abstract

We report a new thermal boundary layer equation for turbulent Rayleigh-Benard convection for Prandtl number Pr>1 that takes into account the effect of turbulent fluctuations. These fluctuations are neglected in existing equations, which are based on steady-state and laminar assumptions. Using this new equation, we derive analytically the mean temperature profiles in two limits: (a) Pr>1, Pr~1 and (b) Pr>>1. These two theoretical predictions are in excellent agreement with the results of our direct numerical simulations for Pr=4.38 (water) and Pr=2547.9 (glycerol) respectively.
Original languageEnglish
Article number114302
Number of pages5
JournalPhysical Review Letters
Volume114
Issue number11
DOIs
Publication statusPublished - 20 Mar 2015
Externally publishedYes

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boundary layer equations
thermal boundary layer
convection
Rayleigh-Benard convection
Prandtl number
glycerols
direct numerical simulation
temperature profiles
predictions
water

Bibliographical note

© 2015 American Physical Society

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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Thermal boundary layer equation for turbulent Rayleigh-Bénard convection. / Shishkina, O.; Horn, S.; Wagner, S.; Ching, E.S.C.

In: Physical Review Letters, Vol. 114, No. 11, 114302, 20.03.2015.

Research output: Contribution to journalArticle

Shishkina, O. ; Horn, S. ; Wagner, S. ; Ching, E.S.C. / Thermal boundary layer equation for turbulent Rayleigh-Bénard convection. In: Physical Review Letters. 2015 ; Vol. 114, No. 11.
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