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

In case of finite Reynolds number Re, 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 Tw 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 Tw decreases proportionally to Re-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.