Methods for Predicting Two-Dimensional Turbulent Boundary Layers Using Eddy Viscosity Hypothesis

Abstract

In this paper two methods using eddy viscosity hypothesis are presented for predicting incompressible two-dimensional turbulent boundary layers with arbitrary pressure gradients. In the first method the assumption of constant eddy viscosity in the outer layer along the normal to the wall is combined with a new auxiliary equation derived from the consideration of the behavior of equation of motion near the wall. The second method consists of the combination of an assumed distribution of eddy viscosity and the moment of momentum integral of the boundary layer equation. Comparison of calculated results with experiments shows fairly good agreement for usually encountered cases expect for the flows with strong pressure gradients.