Analytical solution of orthogonal flow impinging on a wall with suction or blowing

ABSTRACT

In this paper, we have studied the effect of suction and injection on flow and shear stress in case of orthogonal flow. The emerging non-linear differential equation doesn't contain any small or large parameter called the perturbation quantity. Therefore, to solve the non-linear equation we have used the homotopy analysis method [HAM] to obtain the explicit analytic solution of the emerging non-linear equation. The comparison of numerical results with HAM results is also presented. It is noted that the behavior of the HAM solution for velocity profile and skin friction parameter is in good agreement with the numerical solution. It is also noted that the region of convergence can be increased by a better choice of the auxiliary linear operator