Statistical Evaluation of the Triple Velocity Correlation and the Pressure-Velocity Correlation in Shear Turbulence
Abstract
The triple velocity correlation and the pressure-velocity correlation, which play an important role in the transport equation for Reynolds stress, are evaluated with the aid of a shear-turbulence theory. The theory is based on the Direct-Interaction (propagator-renormalization) 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