Magnetohydrodynamic natural convection flow on a sphere

Abstract

A steady two-dimensional magnetohydrodynamic natural convection flow on a sphere will be investigated. Using the appropriate transformations, the basic equations are transformed to non-dimensional boundary layer equations, which are solved numerically using finite-difference method known as Keller box method. Here we have focused our attention on the evolution of the surface shear stress in terms of local skin friction, rate of heat transfer in terms of local Nusselt number, velocity distribution as well as temperature distribution for a selection of parameter sets consisting of heat generation parameter Q (= 0.0, 0.5, 1.0, and 2.0), magnetic parameter M (= 0.0, 0.2, 0.5, 0.8, and 1.0) and the Prandtl number (Pr). The results of wall shear stress and the ratc of heat transfer in terms of the local skin friction coefficient and local Nusselt number, velocity distribution as well as temperature distribution have been shown graphically by using the software LAHEY FORTRAN 90 and TECPLOT. Numerical solution will be considered for Prandtl numbers equals to 0.7, 1.0,2.0,3.0, and 7.0.