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Chebyshev Finite Difference Method for Hydro magnetic Free Convection from a Cone and a Wedge Through Porous Media with Radiation
M. A. Seddeek
Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, P.O. Box 11795 Cairo, Egypt; Current address: Kingdom of Saudi Arabia, Qassim University, College of Science, Mathematics Department, P. O. Box 237, Buriedah, 81999, KSA
In this paper, we study the effects of non-Darcy parameters on hydro-magnetic free convection from a cone and a wedge, taking into account the effects of radiation, free convection, magnetic field, and external heat generation. The governing fundamental equations are approximated by a system of nonlinear ordinary differential equations. A new Chebyshev finite difference method is proposed for solving the governing equations of the boundary-layer flow. The Falkner-Skan equation has been solved as a model problem. Numerical computations are carried out for the nondimensional physical parameters. Comparisons with previously published work are performed and excellent agreement between the results is obtained. The effects of various parameters on the velocity and temperature profiles as well as the heat transfer coefficient and the skin friction are presented graphically and in tabulated form.
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