An analysis by the Green's function method for flow over axisymmetric bodies including the transverse curvature effect

Boundary layer equations for two dimensional and axisymmetric flow are investigated. By using the Boussinesq's eddy-viscosity and mean velocity distribution concepts, the Reynolds shear stress term is modeled to be similar to the viscous shear stress in the laminar flow. The Mangler-Levey-Lees transformation provided an almost two-dimensional model for axisymmetric flow and also absorbed the compressibility into the coordinate transformation. The governing equations are written in general compact form for calculating the incompressible and compressible flow behaviors of both laminar and turbulent flows for both the two dimensional and the axisymmetric cases. The partial differential equations are first recast as the ordinary differential equations and then by appeal to Green's theorem are rewritten as a nonlinear integral equation at each successive streamwise station. The sequence of integral equations is solved by iteration.