Series solutions for the flow in the vicinity of the equator of an magnetohydrodynamic boundary-layer over a porous rotating sphere with heat transfer

Abstract

DTM-Pade analytical method is employed to solve the flow and heat transfer near the equator of an magnetohydrodynamic boundary-layer over a porous rotating sphere. This method is used to give solutions of non-linear ordinary differential equations with boundary conditions at infinity. The velocity components in all directions (meridional, rotational, and radial) and temperature fields are derived. The obtained results are verified with the results of numerical solution. A very good agreement can be observed between them. The effect of involved parameters such as magnetic strength parameter, rotation number, suction/blowing parameter, and Prandtl number on the all-different types of velocity components, temperature field and surface shear stresses in meridional and rotational directions, infinite radial velocity, and rate of heat transfer is checked and discussed.