Analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid.

Purpose – The purpose of this paper is to find analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid. Design/methodology/approach – The homotopy analysis method is used to find a family of travelling wave solutions of the governing non-linear problem. Findings – The effects of different parameters on the velocity and temperature profiles are shown graphically. Originality/value – The analytic solutions of the system of non-linear ordinary differential equations are constructed in the series form for various values of the power index. [ABSTRACT FROM AUTHOR]