Torque on the slow rotation of a slightly deformed slip sphere in a Brinkman medium

This article presents an analytical solution for the creeping flow of steady rotation of a slightly deformed slip sphere. The shape of the particle is slightly varied from that of a sphere and is embedded in a porous medium. Brinkman's equation is employed to govern the flow in the porous region. The solution was obtained to the first order in terms of the deformation parameter. An application to the present analysis is to evaluate the torque acting on an oblate spheroid (a prolate spheroid) embedded in the porous medium. The graphs and tables envision the effects of permeability, slip and deformation parameters of the particle. In the limiting cases, the hydrodynamic torque acting on the sphere saturated with the porous medium is reduced in no-slip and slip conditions.