Phenomenology of buoyancy-driven turbulence: Recent results

Mahendra K. Verma, Abhishek Kumar, Ambrish Pandey

    Research output: Contribution to journalArticle

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    Abstract

    In this paper, we review the recent developments in the field of buoyancy-driven turbulence. Scaling and numerical arguments show that the stably-stratified turbulence with moderate stratification has kinetic energy spectrum $E_u(k) \sim k^{-11/5}$ and the kinetic energy flux $\Pi_u(k) \sim k^{-4/5}$, which is called Bolgiano-Obukhov scaling. The energy flux for the Rayleigh-B\'{e}nard convection (RBC) however is approximately constant in the inertial range that results in Kolmorogorv's spectrum ($E_u(k) \sim k^{-5/3}$) for the kinetic energy. The phenomenology of RBC should apply to other flows where the buoyancy feeds the kinetic energy, e.g. bubbly turbulence and fully-developed Rayleigh Taylor instability. This paper also covers several models that predict the Reynolds and Nusselt numbers of RBC. Recent works show that the viscous dissipation rate of RBC scales as $\sim \mathrm{Ra}^{1.3}$, where $\mathrm{Ra}$ is the Rayleigh number.
    Original languageEnglish
    JournalNew Journal of Physics
    Volume19
    Issue number2
    Publication statusPublished - 27 Feb 2017

    Fingerprint

    phenomenology
    buoyancy
    kinetic energy
    turbulence
    scaling
    Taylor instability
    Rayleigh number
    Nusselt number
    stratification
    Reynolds number
    energy spectra
    convection
    dissipation
    energy

    Bibliographical note

    Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

    Keywords

    • Rayleigh-Benard convection
    • buoyancy-driven flows
    • stably-stratified turbulence
    • thermal convection
    • thermally-driven turbulence

    Cite this

    Phenomenology of buoyancy-driven turbulence: Recent results. / Verma, Mahendra K.; Kumar, Abhishek; Pandey, Ambrish.

    In: New Journal of Physics, Vol. 19, No. 2, 27.02.2017.

    Research output: Contribution to journalArticle

    Verma, Mahendra K. ; Kumar, Abhishek ; Pandey, Ambrish. / Phenomenology of buoyancy-driven turbulence: Recent results. In: New Journal of Physics. 2017 ; Vol. 19, No. 2.
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