Computation of turbulent boundary layer flows with an algebraic stress turbulence model
Abstract
An algebraic stress turbulence model is presented, characterized by the following: (1) the eddy viscosity expression is derived from the Reynolds stress turbulence model; (2) the turbulent kinetic energy dissipation rate equation is improved by including a production range time scale; and (3) the diffusion coefficients for turbulence equations are adjusted so that the kinetic energy profile extends further into the free stream region found in most experimental data. The turbulent flow equations were solved using a finite element method. Examples include: fully developed channel flow, fully developed pipe flow, flat plate boundary layer flow, plane jet exhausting into a moving stream, circular jet exhausting into a moving stream, and wall jet flow. Computational results compare favorably with experimental data for most of the examples considered. Significantly improved results were obtained for the plane jet flow, the circular jet flow, and the wall jet flow; whereas the remainder are comparable to those obtained by finite difference methods using the standard kappaepsilon turbulence model. The latter seems to be promising with further improvement of the expression for the eddy viscosity coefficient.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 November 1986
 Bibcode:
 1986STIN...8716982K
 Keywords:

 Algebra;
 Boundary Layer Flow;
 Computational Fluid Dynamics;
 Stress Distribution;
 Turbulence Models;
 Turbulent Boundary Layer;
 Channel Flow;
 Diffusion Coefficient;
 Eddy Viscosity;
 Finite Element Method;
 Flat Plates;
 KEpsilon Turbulence Model;
 Kinetic Energy;
 Reynolds Equation;
 Wall Flow;
 Wall Jets;
 Fluid Mechanics and Heat Transfer