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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 616947, 8 pages
Research Article

Hydromagnetic Stagnation-Point Flow towards a Radially Stretching Convectively Heated Disk

1Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa
2Institute for Advanced Research in Mathematical Modelling and Computations, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africa

Received 16 March 2013; Revised 23 May 2013; Accepted 26 May 2013

Academic Editor: Waqar Khan

Copyright © 2013 S. Shateyi and O. D. Makinde. 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.


The steady stagnation-point flow and heat transfer of an electrically conducted incompressible viscous fluid are extended to the case where the disk surface is convectively heated and radially stretching. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. The governing momentum and energy balance equations give rise to nonlinear boundary value problem. Using a spectral relaxation method with a Chebyshev spectral collocation method, the numerical solutions are obtained over the entire range of the physical parameters. Emphasis has been laid to study the effects of viscous dissipation and Joule heating on the thermal boundary layer. Pertinent results on the effects of various thermophysical parameters on the velocity and temperature fields as well as local skin friction and local Nusselt number are discussed in detail and shown graphically and/or in tabular form.