Complexity of viscous dissipation in turbulent thermal convection

Shashwat Bhattacharya, Ambrish Pandey, Abhishek Kumar, Mahendra K Verma

    Research output: Contribution to journalArticle

    8 Citations (Scopus)
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    Abstract

    Using direct numerical simulations of turbulent thermal convection for the Rayleigh number between 106 and 108 and unit Prandtl number, we derive scaling relations for viscous dissipation in the bulk and in the boundary layers. We show that contrary to the general belief, the total viscous dissipation in the bulk is larger, albeit marginally, than that in the boundary layers. The bulk dissipation rate is similar to that in hydrodynamic turbulence with log-normal distribution, but it differs from (U3/d) by a factor of Ratextminus0.18. Viscous dissipation in the boundary layers is rarer but more intense with a stretched-exponential distribution.
    Original languageEnglish
    Article number031702
    Number of pages6
    JournalPhysics of Fluids
    Volume30
    Issue number3
    DOIs
    Publication statusPublished - 29 Mar 2018

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    free convection
    dissipation
    boundary layers
    Rayleigh number
    Prandtl number
    direct numerical simulation
    normal density functions
    turbulence
    hydrodynamics
    scaling

    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

    Complexity of viscous dissipation in turbulent thermal convection. / Bhattacharya, Shashwat; Pandey, Ambrish; Kumar, Abhishek; Verma, Mahendra K.

    In: Physics of Fluids, Vol. 30, No. 3, 031702, 29.03.2018.

    Research output: Contribution to journalArticle

    Bhattacharya, Shashwat ; Pandey, Ambrish ; Kumar, Abhishek ; Verma, Mahendra K. / Complexity of viscous dissipation in turbulent thermal convection. In: Physics of Fluids. 2018 ; Vol. 30, No. 3.
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