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

doi:10.1088/1402-4896/ab36ce

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

Indian Institute of Technology Kanpur
Indian Association for the Cultivation of Science

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

128 Downloads (Pure)

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 language	English
Article number	125008
Number of pages	10
Journal	Physica Scripta
Volume	94
Issue number	12
Early online date	30 Jul 2019
DOIs	https://doi.org/10.1088/1402-4896/ab36ce
Publication status	Published - 17 Sept 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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10.1088/1402-4896/ab36ce

Post-PrintAccepted author manuscript, 901 KBLicence: CC BY-NC-ND

Cite this

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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.",

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AB - 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.

KW - Bolgiano-Obukhov scaling

KW - Kolmogorov theory

KW - turbulence in stratified fluids

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

Abstract

Keywords

ASJC Scopus subject areas

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