Journal of Applied Mathematics
Volume 2011 (2011), Article ID 124590, 10 pages
http://dx.doi.org/10.1155/2011/124590
Research Article

Radiative Mixed Convection over an Isothermal Cone Embedded in a Porous Medium with Variable Permeability

M. F. El-Amin,1,2 N. A. Ebrahiem,2 Amgad Salama,1 and Shuyu Sun1

1Computational Transport Phenomena Laboratory (CTPL), Division of Physical Sciences and Engineering (PSE), King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
2Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan 81258, Egypt

Received 15 December 2010; Accepted 7 January 2011

Academic Editor: Zhangxin Chen

Copyright © 2011 M. F. El-Amin et al. 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 interaction of mixed convection with thermal radiation of an optical dense viscous fluid adjacent to an isothermal cone imbedded in a porous medium with Rosseland diffusion approximation incorporating the variation of permeability and thermal conductivity is numerically investigated. The transformed conservation laws are solved numerically for the case of variable surface temperature conditions. Numerical results are given for the dimensionless temperature profiles and the local Nusselt number for various values of the mixed convection parameter 𝜒 , the cone angle parameter 𝑚 , the radiation-conduction parameter 𝑅 𝑑 , and the surface temperature parameter 𝐻 .