Analytical solution of stagnation flow of a micropolar fluid towards a vertical permeable surface

Abstract

In this paper, stagnation flow of a micropolar fluid towards a vertical permeable surface with two cases, Newtonian fluid (K = 0) and non-Newtonian fluid (K = 1) are studied in presence of suction and injection. The transformed non-linear equations are solved analytically by homotopy analysis method and some results are compared with numerical solutions for validity. Analytical results for the velocity profiles, the temperature profiles, the skin friction coefficient and the local Nusselt number are presented for various values of the flow parameters and also these results demonstrate obvious effect of suction and injection on temperature profiles on investigation of such flows, particularly for non-Newtonian fluid.