An optimization technique for the development of two-dimensional steady turbulent boundary layer models

A simple boundary layer turbulence model to account for different physical effects is described; the method is applied to produce models for both pressure gradient and mainstream turbulence effects. Asymptotic theory is used to isolate the leading terms in an expansion for the mean velocity profile for high Reynolds numbers for both the inner and outer regions of a nominally steady two dimensional boundary layer. The velocity profile in the outer layer satisfies a partial differential equation containing a Reynolds stress term and this term is modeled by a simple eddy viscosity function which contains two parameters. The velocity profile in the inner wall layer is modeled using an analytical expression which was previously derived by consideration of the observed characteristics of the time dependent flow in the wall layer and which contains a single independent parameter.