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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 453457, 11 pages
http://dx.doi.org/10.1155/2012/453457
Research Article

Mixed Convection Boundary Layer Flow towards a Vertical Plate with a Convective Surface Boundary Condition

1Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, 86400 Parit Raja, Malaysia
2School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, Malaysia

Received 7 August 2012; Accepted 2 December 2012

Academic Editor: Alex Elias-Zuniga

Copyright © 2012 Fazlina Aman and Anuar Ishak. 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 steady mixed convection flow towards an impermeable vertical plate with a convective surface boundary condition is investigated. The governing partial differential equations are first reduced to ordinary differential equations using a similarity transformation, before being solved numerically. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that dual solutions exist for the opposing flow, whereas for the assisting flow, the solution is unique. Moreover, increasing the convective parameter is to increase the skin friction coefficient and the heat transfer rate at the surface.