Flow around a capsule with a fractal core

摘要

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