series solutions for the flow in the vicinity of the equator of an mhd boundary-layer over a porous rotating sphere with heat transfer
;Rashidi Mohammad Mehdi;Mehr Navid Freidooni
Nature2014Vol. 18pp. 527-537
148
mehdi2014thermalseries
Abstract
In this paper, an analytical method (DTM-Padé) is employed to solve the flow
and heat transfer near the equator of an MHD boundary-layer over a porous
rotating sphere. This method is used to give solutions of nonlinear 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.