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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 576453, 7 pages
http://dx.doi.org/10.1155/2013/576453
Research Article

A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity

1Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa
2Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni M201, Switzerland

Received 16 September 2013; Revised 25 October 2013; Accepted 28 October 2013

Academic Editor: Morteza Rafei

Copyright © 2013 S. Shateyi and G. T. Marewo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The study presents an axisymmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer over a stretching cylinder embedded in a porous medium. A suitable similarity transformation is employed to transform the partial differential equations corresponding to the momentum and heat equations into nonlinear ordinary differential equations. The resultant ordinary differential equations are then solved using a successive relaxation method (SRM). The effects of significant parameters on the velocity and temperature profiles have been analyzed graphically. The obtained results are also compared with previously published results in some special cases and were found to be in excellent agreement. The skin friction as well as the heat transfer rate at the surface are increased as the values of the curvature parameter increase.