A wall layer model for use in Reynolds stress closure turbulence modeling
Abstract
A wall layer model was developed which is consistent with Reynolds stress closure models and is applicable to separated turbulent flows. The velocity profile from the wall layer model is determined from an eddy viscosity relation which includes the effects of streamwise pressure gradients. In order to accurately predict separated velocity profiles, the effects of turbulent diffusion of turbulent kinetic energy and turbulent shear stress were incorporated in the model. An approximate analytical solution of the turbulent kinetic energy equation which includes diffusion of turbulent kinetic energy was used to evaluate the eddy viscosity in the wall layer. The velocity profile was then determined from numerical integration of a function which includes the effect of shear stress diffusion. The model velocity profiles agree well with experimental separated velocity profiles, and approximately overlap velocity profiles from a NavierStokes solution using a Reynolds stress closure turbulence model. When used in conjunction with a Reynolds stress closure turbulence model, the wall layer model eliminates the need to include the near wall viscous layer terms in the Reynolds stress closure model and permits accurate flow calculations with relatively coarse grids in the boundary layer.
 Publication:

AIAA, ASME, SIAM, and APS, National Fluid Dynamics Congress
 Pub Date:
 1988
 Bibcode:
 1988aiaa.conf..858S
 Keywords:

 Eddy Viscosity;
 Reynolds Stress;
 Separated Flow;
 Shear Stress;
 Turbulence Models;
 Turbulent Flow;
 Wall Flow;
 Kinetic Energy;
 NavierStokes Equation;
 Pressure Gradients;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer