RESEARCH PAPERS: Natural and Mixed Convection

Solar Radiation Assisted Natural Convection in Uniform Porous Medium Supported by a Vertical Flat Plate

[+] Author and Article Information
A. J. Chamkha

Department of Mechanical and Industrial Engineering, Kuwait University, P.O. Box 5969, Safat, 13060 Kuwait

J. Heat Transfer 119(1), 89-96 (Feb 01, 1997) (8 pages) doi:10.1115/1.2824104 History: Revised September 13, 1996; Received December 04, 1996; Online December 05, 2007


Natural convection flow of an absorbing fluid up a uniform porous medium supported by a semi-infinite, ideally transparent, vertical flat plate due to solar radiation is considered. Boundary-layer equations are derived using the usual Boussinesq approximation and accounting for applied incident radiation flux. A convection type boundary condition is used at the plate surface. These equations exhibit no similarity solution. However, the local similarity method is employed for the solution of the present problem so as to allow comparisons with previously published work. The resulting approximate nonlinear ordinary differential equations are solved numerically by a standard implicit iterative finite-difference method. Graphical results for the velocity and temperature fields as well as the boundary friction and Nusselt number are presented and discussed.

Copyright © 1997 by The American Society of Mechanical Engineers
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