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


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
Issue number12
Early online date30 Jul 2019
Publication statusPublished - 17 Sep 2019



  • 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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