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.
