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

Masood Khan (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Azeem Shahzad (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Asia Anjum (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Fazal M. Mahomed (Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesberg, South Africa)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 27 May 2014

127

Abstract

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.

Keywords

Acknowledgements

The authors would like to express their gratitude to the referees for their constructive comments and suggestions. This work has financial support of the Higher Education Commission (HEC) of Pakistan.

Citation

Khan, M., Shahzad, A., Anjum, A. and M. Mahomed, F. (2014), "Analytic approximate solutions for time-dependent flow and heat transfer of a Sisko fluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 5, pp. 1005-1019. https://doi.org/10.1108/HFF-06-2012-0133

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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