Creeping flow around a spherical particle covered by semipermeable shell in presence of magnetic field

Abstract

This paper deals the MHD slow viscous motion of electrically conducting fluid over a rigid sphere surrounded by a concentric permeable sphere. Darcy’s equation is adopted to describe the motion in semipermeable region and Stokes equation is applied to describe the flow of viscous fluid region. For both flow fields, stream functions are calculated. The resistance force on composite sphere is obtained and variation of drag force with respect to different parameters has been plotted graphically. Some limiting cases are deduced and compared with the solution derived in other research papers. We observed that drag force increases with increasing magnetic field.