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

Research output: Contribution to journalArticle

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

Fingerprint

Stratified Fluid
Richardson number
Anisotropy
Turbulence
turbulence
Eddy Viscosity
eddy viscosity
anisotropy
fluids
Linearly
Space-time
Calculate
Numerical Simulation
Necessary
simulation

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

Cite this

Turbulence in a stably stratified fluid: Onset of global anisotropy as a function of the Richardson number. / Bhattacharjee, Jayanta K; Kumar, Abhishek; Verma, Mahendra K.

In: Physica Scripta, Vol. 94, No. 12, 125008, 17.09.2019.

Research output: Contribution to journalArticle

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