Statistical Evaluation of the Triple Velocity Correlation and the PressureVelocity Correlation in Shear Turbulence
Abstract
The triple velocity correlation and the pressurevelocity correlation, which play an important role in the transport equation for Reynolds stress, are evaluated with the aid of a shearturbulence theory. The theory is based on the DirectInteraction (propagatorrenormalization) formalism incorporated with the separation of space and time scales between the mean and fluctuating fields. As a consequence, these correlations are shown to be expressed by the use of two statistical quantities of the fluctuating field, say, the turbulent energy and the energy dissipation rate (or the size of largest eddies). Results obtained are applicable to the estimate of turbulence transport models.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 July 1982
 DOI:
 10.1143/JPSJ.51.2326
 Bibcode:
 1982JPSJ...51.2326Y
 Keywords:

 Computational Fluid Dynamics;
 Reynolds Stress;
 Shear Flow;
 Statistical Correlation;
 Turbulent Flow;
 Equations Of Motion;
 Flow Velocity;
 Pressure Distribution;
 Fluid Mechanics and Heat Transfer