Generation of large-scale vorticity in rotating stratified turbulence with inhomogeneous helicity: mean-field theory

Abstract

We discuss a mean-field theory of generation of large-scale vorticity in a rotating density stratified developed turbulence with inhomogeneous kinetic helicity. We show that the large-scale nonuniform flow is produced due to ether a combined action of a density stratified rotating turbulence and uniform kinetic helicity or a combined effect of a rotating incompressible turbulence and inhomogeneous kinetic helicity. These effects result in the formation of a large-scale shear, and in turn its interaction with the small-scale turbulence causes an excitation of the large-scale instability (known as a vorticity dynamo) due to a combined effect of the large-scale shear and Reynolds stress-induced generation of the mean vorticity. The latter is due to the effect of large-scale shear on the Reynolds stress. A fast rotation suppresses this large-scale instability.

13 pages, revised, jpp.cls

References in corpus (11)

• Inverse cascade and symmetry breaking in rapidly-rotating Boussinesq convection
• Large-scale vortices in rapidly rotating Rayleigh-Bénard convection
• Generation of Magnetic Field by Combined Action of Turbulence and Shear
• Magnetic fluctuations and formation of large-scale inhomogeneous magnetic structures in a turbulent convection
• Generation of magnetic fields by large-scale vortices in rotating convection
• Cosmic ray current-driven turbulence and mean-field dynamo effect
• Large-scale instability in a sheared nonhelical turbulence: formation of vortical structures
• Numerical study of large-scale vorticity generation in shear-flow turbulence
• New scaling for the alpha effect in slowly rotating turbulence
• Some consequences of shear on galactic dynamos with helicity fluxes
• Three-dimensional slow Rossby waves in rotating spherical density stratified convection

Cited by in corpus (4)

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• Compressibility in turbulent MHD and passive scalar transport: mean-field theory
• Generation of a large-scale vorticity in a fast rotating density stratified turbulence or turbulent convection
• Nonlinear dynamo in obliquely rotating stratified electroconductive fluid in an uniformly magnetic field