A Few Applications of the Nee-Kovasznay Model for Shear Flow Turbulence

The Nee-Kovasznay model is applied to the three turbulent shear flows; the wall region of the turbulent boundary layer, the plane mixing layer and the turbulent Rayleigh problem. The model equation is solved analytically, partly by the use of a technique analogous to the integral method for turbulence prediction. The former two applications are intended to determine the two unknown parameters in the model by comparing the theory with experiment, the results of which are A{=}0.20 and B{=}2.2. In the third problem approximate solutions for the mean velocity and the turbulent viscosity are obtained and compared with experiments. Agreements are satisfactory. The theory shows also some disagreements, which may be due to the lack of the concept of ‘coherent structure’ in the model.