A new algebraic relation for calculating the Reynolds stresses
Abstract
An approximate Reynolds stress transport equation from a previously reported (Launder et al., 1975) model is simplified to obtain an algebraic expression relating these stresses to the mean velocity gradients in turbulent flows. The stress relation is restricted to fully turbulent high Reynolds number flows excluding the viscous sublayer. The suggested expression provides a better representation of the Reynolds stresses than does the eddy viscosity formula, and forms a relatively simple model for complex flows in combination with transport equations for the length scale of turbulence and the kinetic energy of turbulence.
 Publication:

Gesellschaft Angewandte Mathematik und Mechanik Workshop Paris France
 Pub Date:
 March 1976
 Bibcode:
 1976GaMuM..56..219R
 Keywords:

 Algebra;
 Reynolds Stress;
 Turbulent Flow;
 Velocity Distribution;
 Eddy Viscosity;
 Kinetic Energy;
 Kolmogoroff Theory;
 Reynolds Number;
 Shear Stress;
 Stress Analysis;
 Transport Properties;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer