Uniform liquid flow around porous spherical capsule

The problem of a liquid flow that is uniform at infinity around a spherical porous capsule is solved. The flow in a porous layer is described by the Brinkman equation assuming that the viscosity of the Brinkman medium differs from the viscosity of the liquid flowing around. The tangential stress jump condition is imposed on the porous medium-liquid interface. Velocity and pressure distributions are determined and the hydrodynamic force applied to the capsule is calculated.