Turbulence in a stably stratified fluid: Onset of global anisotropy as a function of the Richardson number

Jayanta K Bhattacharjee, Abhishek Kumar, Mahendra K. Verma

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    Abstract

    It is necessary to introduce an external force to induce turbulence in a stably stratified fluid. The Heisenberg eddy viscosity technique should in this case suffice to calculate a space-time averaged quantity like the global anisotropy parameter as a function of the Richardson number. We find analytically that the anisotropy increases linearly with the Richardson number, with a small quadratic correction. A numerical simulation of the complete equations shows the linear behaviour.

    Original languageEnglish
    Article number125008
    Number of pages10
    Journal Physica Scripta
    Volume94
    Issue number12
    Early online date30 Jul 2019
    DOIs
    Publication statusPublished - 17 Sep 2019

    Keywords

    • Bolgiano-Obukhov scaling
    • Kolmogorov theory
    • turbulence in stratified fluids

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Mathematical Physics
    • Condensed Matter Physics

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