Calculation of plane turbulent Couette-Poiseuille flows with a modifiedk-ϵ model

Suitable modifications to the k — model are proposed for the calculation of turbulent Couette-Poiseuille flows. In the case of pure Couette flow a logarithmic expression for the turbulent kinetic energy could be derived which is valid over the entire fully turbulent region. The basic idea for numerical computations is the deviation from the concept of constant c μ . In the case of Couette-type flows proper distributions of this model parameter could be found. In Poiseuille-type flows the application of an extended eddy-diffusivity approach for the turbulent shear stress leads to results which satisfactorily correspond to the measurements.