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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 412480, 14 pages
Research Article

Heat Transfer Analysis of Viscous Incompressible Fluid by Combined Natural Convection and Radiation in an Open Cavity

1Department of Electrical and Computer Engineering, Center for Advanced Studies in Engineering, 19 Atta Turk Avenue, G-5/1, Islamabad 44000, Pakistan
2University of Dhaka, Dhaka 1000, Bangladesh
3School of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, G.P.O. Box 2434, Brisbane, QLD 4001, Australia

Received 10 March 2014; Revised 24 May 2014; Accepted 3 June 2014; Published 25 June 2014

Academic Editor: Hang Xu

Copyright © 2014 M. Saleem 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 effect of radiation on natural convection of Newtonian fluid contained in an open cavity is investigated in this study. The governing partial differential equations are solved numerically using the Alternate Direct Implicit method together with the Successive Overrelaxation method. The study is focused on studying the flow pattern and the convective and radiative heat transfer rates are studied for different values of radiation parameters, namely, the optical thickness of the fluid, scattering albedo, and the Planck number. It was found that, in the optically thin limit, an increase in the optical thickness of the fluid raises the temperature and radiation heat transfer of the fluid. However, a further increase in the optical thickness decreases the radiative heat transfer rate due to increase in the energy level of the fluid, which ultimately reduces the total heat transfer rate within the fluid.