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Boundary layer flow of Maxwell fluid with power law heat flux and heat source

S.A. Shehzad (Department of Mathematics, Quaid-e-Azam University, Islamabad, Pakistan)
M. Qasim (Department of Mathematics, Comsats Institute of Information Technology, Islamabad, Pakistan)
T. Hayat (Department of Mathematics, Quaid-e-Azam University, Islamabad, Pakistan)
M. Sajid (Theoretical Plasma Physics Division, PINSTECH, Islamabad, Pakistan)
S. Obaidat (Department of Mathematics, King Saud University, Riyadh, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 16 September 2013

157

Abstract

Purpose

The purpose of this paper is to investigate the two-dimensional flow of Maxwell fluid with power law heat flux and heat source over a stretched surface.

Design/methodology/approach

The governing partial differential equations are reduced into ordinary differential equations by applying similarity transformations. Series solutions of velocity and temperature are found by adopting homotopy analysis method (HAM).

Findings

It is found that the velocity decreases by increasing Deborah number and suction parameter. It is also observed that the heat generation parameter leads to a decrease in temperature. Furthermore, the numerical values of local Nusselt number decreased with an increase in Deborah number.

Practical implications

A useful source of information for the investigators on the field of non-Newtonian fluids with heat transfer.

Originality/value

This paper discusses the boundary layer flow of Maxwell fluid with power law heat flux in the presence of heat source.

Keywords

Acknowledgements

Third author Dr. Hayat thanks the support of Global Research Network for Computational Mathematics and King Saud University for this work. Further, the authors are grateful to the reviewers for useful suggestions.

Citation

Shehzad, S.A., Qasim, M., Hayat, T., Sajid, M. and Obaidat, S. (2013), "Boundary layer flow of Maxwell fluid with power law heat flux and heat source", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 7, pp. 1225-1241. https://doi.org/10.1108/HFF-10-2011-0198

Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

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