Drag on an impermeable cylinder embedded in a sparsely packed porous medium in presence of magnetic field

The present devoted to find an expression for drag power qualified by the solid cylinder placed in a sparsely packed porous region with additional magnetic field in the transverse direction to the flow. The flow is governed by the Brinkman model (To take care of the boundary effects that exists on the boundaries, the Brinkman modified the Darcy equation by considering a Laplacian term in velocity to Darcy law) and solved analytically using a uniform shear far from the cylinder. It is found that, amplifying in the permeability of a porous region is to decline the drag on the solid cylinder. Further, a reversed behavior is noticed in the hydrodynamic force when the magnetic field is raised and the same is represented graphically.