Anisotropy in homogeneous rotating turbulence
Abstract
The effective stress tensor of a homogeneous turbulent rotating fluid is anisotropic. This leads us to consider the most general axisymmetric fourrank “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 nonconserving (in the rotating frame). Furthermore, we explore the constraints on the response function and the twopoint velocity correlation due to axisymmetry. Finally, we compare our viscosity tensor with other fourrank tensors defined in current approaches to nonrotating anisotropic turbulence.
 Publication:

Physical Review E
 Pub Date:
 November 2003
 DOI:
 10.1103/PhysRevE.68.056310
 arXiv:
 arXiv:nlin/0312006
 Bibcode:
 2003PhRvE..68e6310G
 Keywords:

 47.27.i;
 47.32.y;
 Turbulent flows;
 Vortex dynamics;
 rotating fluids;
 Chaotic Dynamics;
 Fluid Dynamics;
 Mathematical Physics
 EPrint:
 14 pages, RevTeX