Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method

An analytical approximation for the similarity solutions of the two- and three-dimensional stagnation slip flow and heat transfer is obtained by using the homotopy analysis method. This method is a series expansion method, but it is different from the perturbation technique, because it is independent of small physical parameters at all. Instead, it is based on a continuous mapping in topology so that it is applicable for not only weakly but also strongly nonlinear flow phenomena. Convergent [m,m] homotopy Pad, approximants are obtained and compared with the numerical results and the asymptotic approximations. It is found that the homotopy Pad, approximants agree well with the numerical results. The effects of the slip length a and the thermal slip constant beta on the heat transfer characteristics are investigated and discussed