Journal of Applied Mathematics
Volume 2012 (2012), Article ID 939620, 10 pages
Research Article

Natural Convection in an Inclined Porous Cavity with Spatial Sidewall Temperature Variations

1Department of Mathematics & Statistics, Faculty of Computer & Mathematical Sciences, Universiti Teknologi MARA Pahang, 62400 Bandar Jengka, Malaysia
2Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, 86400 Parit Raja, Malaysia
3School of Mathematical Sciences and Solar Energy Research Institute, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, Malaysia

Received 4 February 2012; Accepted 18 March 2012

Academic Editor: Hiroshi Kanayama

Copyright © 2012 M. S. Selamat 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.


The natural convection in an inclined porous square cavity is investigated numerically. The left wall is assumed to have spatial sinusoidal temperature variations about a constant mean value, while the right wall is cooled. The horizontal walls are considered adiabatic. A finite difference method is used to solve numerically the nondimensional governing equations. The effects of the inclination angle of the cavity, the amplitude and wave numbers of the heated sidewall temperature variation on the natural convection in the cavity are studied. The maximum average Nusselt number occurs at different wave number. It also found that the inclination could influence the Nusselt number.