A New Large Scale Instability in Rotating Stratified Fluids Driven by Small Scale Forces

Anatoly Tur, Malik Chabane, Vladimir Yanovsky

Institute for Single Crystals, National Academy of Science Ukraine, Kharkov, Ukraine.
Université de Toulouse [UPS], Centre National de la Recherche Scientifique, Institut de Recherche en Astrophysique et Planétologie, Toulouse, France.

DOI: 10.4236/ojfd.2013.34041                

Abstract

In this paper, we find a new large scale instability displayed by a stratified rotating flow in forced turbulence. The turbulence is generated by a small scale external force at low Reynolds number. The theory is built on the rigorous asymptotic method of multi-scale development. There is no other special constraint concerning the force. In previous papers, the force was either helical or violating parity invariance. The nonlinear equations for the instability are obtained at the third order of the perturbation theory. In this article, we explain a detailed study of the linear stage of the instability.

Keywords

Large Scale Vortex Instability; Coriolis Forse; Buoyancy; Multi-Scale Development; Small Scale Turbulence

Conflicts of Interest

The authors declare no conflicts of interest.

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