Statistical Approach to Inhomogeneous Trubulence with Unidirectional Mean Flow: Evaluation of Reynolds Stress
Abstract
Statistical analysis is made of the inhomogeneous turbulence with unidirectional mean flow in infinite fluid. The velocity is assumed to depend on the coordinate normal to the flow. Considering that the space variation of the mean flow is small compared with that of the fluctuating one, two space scales corresponding to mean and fluctuating flows are introduced into the NavierStokes equations. The directinteraction approximation is applied to the equation thus found, and Reynolds stress is evaluated. Results obtained are applied to the calculation of gridscale Reynolds stress used frequently in a numerical simulation of turbulent flows.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 February 1979
 DOI:
 10.1143/JPSJ.46.669
 Bibcode:
 1979JPSJ...46..669Y
 Keywords:

 Nonuniform Flow;
 Reynolds Stress;
 Statistical Analysis;
 Turbulent Flow;
 Approximation;
 Channel Flow;
 Eddy Viscosity;
 Flow Distortion;
 Flow Velocity;
 Green'S Functions;
 NavierStokes Equation;
 Pipe Flow;
 Fluid Mechanics and Heat Transfer