Viscous And Thermal Boundary Layers in Incompressible Steady Flows Along Longitudinally Curved Surfaces Including Boundary Layer Control

摘要

Self similar solutions for the viscous and thermal boundary layer are deduced in second order approximation for flows along longitudinally curved surfaces without or with boundary layer control. The solutions cover surfaces the curvature K of which is proportional to a power of the arc length x. To this family of surfaces also belong the stagnation point flow at a cylinder and the wedge flows with curved flanks of the wedge. The apex of the wedge is correlated to the curvature dependence on the arc length. The main problems of the work are the derivation of optimal coordinates which render a solution for the whole boundary layer and to set up a main flow being a potential flow in the framework of the approximation. Numerical solutions are deduced by applying the Runge Kutta method. (Author)