The influence of compressibility on the equations of the rapid distortion theory of turbulence
Abstract
Batchelor's theory of the effect of rapid distortion on turbulence level in incompressible flow, is extended in order to account for compressibility. The theory was applied to the flow through a wind tunnel contraction cone. Compressibility has only a small effect on the change of turbulence intensity, but it favorably affects the reduction of the percentage of total turbulence. The contraction ratio needed in order to achieve a given reduction in the level of turbulence, or in the level of nonuniformity, decreases as the outlet Mach number increases.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1982
 Bibcode:
 1982STIN...8230496B
 Keywords:

 Compressibility Effects;
 Computational Fluid Dynamics;
 Conical Flow;
 Flow Distortion;
 Flow Equations;
 Turbulent Flow;
 Incompressible Flow;
 Kinetic Energy;
 Mach Number;
 Vorticity Equations;
 Wind Tunnels;
 Fluid Mechanics and Heat Transfer