Series solutions of unsteady MHD flow of a non-newtonian fluid near the forward stagnation point

H. Xu¹ - S.--J. Liao¹ - I. Pop²

¹ School of Naval Architecture, Ocean and Civil Engineering, Shanghai JiaoTong University, Shanghai 200030, China
² Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP253, Romania

Abstract
Unsteady flow of a viscous incompressible electrically conducting non-Newtonian power-law fluid near the forward stagnation point of a two-dimensional body in the presence of a magnetic field is studied by means of an analytic technique, namely, the homotopy analysis method. Accurate analytic approximations are obtained, which are uniformly valid for all dimensionless time in the whole region 0 ≤ η < ∞. Effects of integral power-law index of the non-Newtonian fluids for κ = 1, 2, 3 and magnetic number M ≤ 10 on the flow are considered. To the best of authors' knowledge, such kinds of analytic solutions have been never reported. Tables 1, Figs 8, Refs 34.