Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

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

doi:10.1103/PhysRevLett.114.114302

Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

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

Research output: Contribution to journal › Article › peer-review

81 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 language	English
Article number	114302
Number of pages	5
Journal	Physical Review Letters
Volume	114
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.114.114302
Publication status	Published - 20 Mar 2015
Externally published	Yes

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© 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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10.1103/PhysRevLett.114.114302

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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.",

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Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

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Thermal boundary layer equation for turbulent Rayleigh-Bénard convection

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