Flow of Conducting Fluid on solid Core Surrounded by Porous Cylindrical Region in Presence of Transverse Magnetic Field

Abstract

The steady flow of an electrically conducting, viscous and incompressible fluid flow through / past a solid core surrounded by cylindrical porous medium is considered in the presence of the transverse magnetic field. The modified Brinkman and Stokes equations are used to describe the fluid flow in porous and non-porous regions respectively. The exact solution is obtained in terms of modified Bessel’s function.    The matching boundary conditions are used at the interface of the two regions along with the no-slip condition on the surface of the solid core. Further, uniform velocity away from the fluid surface is considered. The effect of magnetic field and porous parameter on the fluid flow is presented for both porous and     non-porous regions. From the obtained result it is noticed that increase in magnetic field strength, the flow is suppressed and fluid flow through porous region is observed.     Further, increase in porous