PREPRINT
D39BD64A-50CC-423A-9664-7779028AFCCC

# Anisotropy in Homogeneous Rotating Turbulence

J. Gaite
arXiv:nlin/0312006

Submitted on 2 December 2003

## Abstract

The effective stress tensor of a homogeneous turbulent rotating fluid is anisotropic. This leads us to consider the most general axisymmetric four-rank viscosity tensor'' for a Newtonian fluid and the new terms in the turbulent effective force on large scales that arise from it, in addition to the microscopic viscous force. Some of these terms involve couplings to vorticity and others are angular momentum non conserving (in the rotating frame). Furthermore, we explore the constraints on the response function and the two-point velocity correlation due to axisymmetry. Finally, we compare our viscosity tensor with other four-rank tensors defined in current approaches to non-rotating anisotropic turbulence.

## Preprint

Comment: 14 pages, RevTeX

Subjects: Nonlinear Sciences - Chaotic Dynamics; Astrophysics; Mathematical Physics; Physics - Fluid Dynamics