Predictions of channel and boundary-layer flows with a low-Reynolds-number two-equation model of turbulence

A new turbulence model that is valid right down to the solid wall has been developed. Although the general approach is similar to that of Jones and Launder, the detailed proposals are quite different. The Taylor series expansion technique has been used to systematically study the proper behavior of the turbulent shear stress, kinetic energy and its rate of dissipation near a solid wall. The model was applied to the problem of a fully developed turbulent channel flow and to a turbulent boundary layer flow over a flat plate. Results were compared with the theory of Jones and Launder and with the experimental data. For the cases considered, present theory not only yields better predictions of the peak turbulent kinetic energy, but requires about one tenth of the computer time of the theory of Jones and Launder.