Closure relations for the pressurestrain correlation of turbulence
Abstract
The modeling of the pressurestrain correlation of turbulence is examined. It is found that most of the closure relations that have recently been proposed are not form invariant under a change of frame while the pressurestrain correlation can be proven to be invariant under this group of transformations. On this basis, it is highly unlikely that any of these expressions will be of general use since they ignore basic invariance requirements. The most complete representation for the pressurestrain correlation that is properly invariant is obtained for the general class of closures where the correlation is taken to be a function of the Reynolds stresses, mean velocity gradients, and a master length scale of turbulence. Rational approximations to this form are discussed.
 Publication:

Physics of Fluids
 Pub Date:
 March 1980
 DOI:
 10.1063/1.863014
 Bibcode:
 1980PhFl...23..459S
 Keywords:

 Fluid Pressure;
 Incompressible Flow;
 Pressure Effects;
 Turbulent Flow;
 Approximation;
 Energy Distribution;
 Flow Velocity;
 Reynolds Stress;
 Shear Strain;
 Time Dependence;
 Transport Properties;
 Fluid Mechanics and Heat Transfer