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Generation of large-scale vorticity in a homogeneous turbulence with a mean velocity shear

2003/01/14 by T. Elperin, N. Kleeorin, I. Rogachevskii
Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows #astro-ph

paper · pdf · doi:10.1103/physreve.68.016311

published as Physical Review E, 2003, v. 68, No. 1, 016311 (1-8) · 8 pages, 3 figures, REVTEX4, submitted to Phys. Rev. E

arxiv created 2003/01/14 · openalex publication_date 2003/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An effect of a mean velocity shear on a turbulence and on the effective force which is determined by the gradient of the Reynolds stresses is studied. Generation of a mean vorticity in a homogeneous incompressible nonhelical turbulent flow with an imposed mean velocity shear due to an excitation of a large-scale instability is found. The instability is caused by a combined effect of the large-scale shear motions ("skew-induced" deflection of equilibrium mean vorticity) and "Reynolds stress-induced" generation of perturbations of mean vorticity. Spatial characteristics of the instability, such as the minimum size of the growing perturbations and the size of perturbations with the maximum growth rate, are determined. This instability and the dynamics of the mean vorticity are associated with Prandtl's turbulent secondary flows.

Citations