A steady incompressible axisymmetric flow in a circular annulus filled with non-Darcy porous medium is studied in the influence of a static magnetic field applied in radial direction. The Joule heating effect produced by the magnetic field is also included to analyze effect of magnetic field and fluid flow field on heat convection process. The governing equations of flow and heat transfer are non-linear coupled differential equations, are solved with Quasi-numerical method – the Differential Transform method (DTM). The velocity and temperature profiles for the porous region and clear fluid central region are derived and computed with the use of Matlab at various physical parameters and there effects are discussed through graphs. The skin-friction coefficient and Nusselt number at the surfaces of the porous annulus are computed and discussed through graphs.
