On the calculation of laminar and turbulent boundary layers on longitudinally curved surfaces

The laminar boundary layer equations with constant viscosity, including all second-order terms plus a diffusion term of higher order for boundary conditions corresponding to a curved longitudinal edge were solved by Keller's box method. Inclusion of the third order diffusion term is shown to give results virtually identical with those of Schultz-Grunow and Breuer (1965). Turbulent flow calculations were made on the same equations, with the laminar viscosity replaced by an effective viscosity where the eddy viscosity was specified by the standard Cebeci-Smith formulation modified by Bradshaw's correction for longitudinal curvature. These calculations are in good agreement with measurements, except possibly for the skin-friction coefficient.