A turbulence model for rotating flows
Abstract
A second moment turbulence closure model, of the type widely used in modeling geophysical flows, is extended to include the effects of rotation on turbulence. The model is the product of a systematic scaling analysis of the Reynolds stress equations in terms of deviations from local isotropy. Both spanwise and axial rotation cases are considered. The model is shown to be conceptually equivalent to but more selfconsistent than the turbulence models widely used in the simulation of flows in turbomachinery. It is also shown that rotation imparts tensorial properites to eddy viscosity. In the limit of analytically tractable local equilibrium approximation, interesting effects such as complete suppression of turbulence are readily revealed. It is shown that at sufficiently strong destabilizing spanwise rotation, destabilization gives way to restabilization leading to eventual suppression of turbulence. Also Monin & Obukhov type similarity theory is applied o the constant flux region of rotating turbulent boundary layers.
 Publication:

AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress
 Pub Date:
 1988
 Bibcode:
 1988aiaa.conf..558G
 Keywords:

 Computational Fluid Dynamics;
 Rotating Fluids;
 Turbulence Models;
 Turbulent Flow;
 Eddy Viscosity;
 Flow Stability;
 Geophysics;
 Reynolds Stress;
 Similarity Theorem;
 Stratification;
 Fluid Mechanics and Heat Transfer