Second Order Boundary-Layer Solutions for the Stagnation Flow of a Circular Cylinder

Abstract

In case of finite Reynolds number R_e, the second order solutions of boundary-layer equation for the flow over a circular cylinder with separated wake are investigated in the vicinity of the stagnation point. The second order effects for wall shear stress T_w due to the curvature of the cylinder and the displacement of main flow are discussed by introducing the method for higher order boundary-layer solutions developed by Van Dyke. As a results, it is shown that T_w decreases proportionally to R_e^-1/2 and the effect of curvature amounts to 75 percent of the decreasing rate. Moreover, a new accurate method for solution of first order boundary-layer equation is proposed.