Dynamics of large-scale quantities in Rayleigh-Bénard convection

Ambrish Pandey, Abhishek Kumar, Anando G. Chatterjee, Mahendra K. Verma

    Research output: Contribution to journalArticle

    7 Citations (Scopus)
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    Abstract

    In this paper we estimate the relative strengths of various terms of the Rayleigh-Bénard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity U or the Péclet number that is applicable for arbitrary Rayleigh number Ra and Prandtl number Pr. Our formula fits reasonably well with the earlier simulation and experimental results. Our analysis also shows that the wall-bounded convection has enhanced viscous force compared to free turbulence. We also demonstrate how correlations deviate the Nusselt number scaling from the theoretical prediction of Ra1/2 to the experimentally observed scaling of nearly Ra0.3.
    Original languageEnglish
    Article number053106
    Number of pages7
    JournalPhysical Review E
    Volume94
    DOIs
    Publication statusPublished - 7 Nov 2016

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    Rayleigh
    Convection
    convection
    Scaling
    scaling
    Rayleigh equations
    Rayleigh Equation
    Nusselt number
    Rayleigh number
    Prandtl number
    estimates
    Estimate
    Turbulence
    turbulence
    Prediction
    Experimental Results
    Arbitrary
    Term
    predictions
    Demonstrate

    Bibliographical note

    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.

    Cite this

    Dynamics of large-scale quantities in Rayleigh-Bénard convection. / Pandey, Ambrish; Kumar, Abhishek; Chatterjee, Anando G.; Verma, Mahendra K.

    In: Physical Review E, Vol. 94, 053106, 07.11.2016.

    Research output: Contribution to journalArticle

    Pandey, Ambrish ; Kumar, Abhishek ; Chatterjee, Anando G. ; Verma, Mahendra K. / Dynamics of large-scale quantities in Rayleigh-Bénard convection. In: Physical Review E. 2016 ; Vol. 94.
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