Calculation of turbulent boundary layers and wall jets over curved surfaces.

Abstract

A calculation method for turbulent boundary layers and wall jets has been developed in which the effects of large longitudinal surface curvature and the associated normal pressure gradients are included for the first time. This is achieved by using finite difference techniques to represent the equations of mean motion in a system of curvilinear orthogonal coordinates. The Reynolds stress terms in the equations of motion are approximated using an eddy viscosity approach based on the concept of intermittency . Application of the method to wall jet boundary layers is achieved through extension of the basic eddy viscosity model. Comparisons between theory and experiment for boundary layers and wall jets developing over flat or curved surfaces for a wide variety of pressure distributions show encouraging agreement.