Effect of Radiation on Magnetohydrodynamic Free Convection Boundary Layer Flow Near the Lower Stagnation Point of a Solid Sphere with Newtonian Heating
Abstract
In this paper, the effect of radiation on magnetohydrodynamic free convection boundary layer flow near the lower stagnation point of a solid sphere with Newtonian heating, in which the heat transfer from the surface is proportional to the local surface temperature, is considered. The transformed boundary layer equations in the form of partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical solutions are obtained for the local wall temperature, the skin friction coefficient, as well as the velocity and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number Pr, magnetic parameter M, radiation parameter and the conjugate parameter are analyzed and discussed.
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