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MHD Flow and Heat Transfer Past a Semi-Infinite Vertical Plate Embedded in a Porous Medium of Variable Permeability
Department of Mathematics, Visva-Bharati University Santiniketan, India
A numerical model is developed to study the effects of variable permeability and magnetic field on mixed convection from a vertical plate embedded in a porous medium incorporating the variation of thermal conductivity. The conservation equations that govern the problem are reduced to a system of nonlinear ordinary differential equations. Because of nonlinearity, the governing equations are solved numerically by employing shooting algorithm with Runge-Kutta-Fehlberg integration scheme. The effects of magnetic field on velocity and temperature distributions are studied in detail by considering uniform permeability (UP) and variable permeability (VP) of the porous medium and the results are depicted graphically. The important finding of the present work is that the magnetic field has considerable effects on the boundary layer velocity and on the rate of heat transfer for both the cases of permeability (i.e., UP and VP) of the porous medium. The present numerical results are in good agreement with those provided by other numerical method on a special case.
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