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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.

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