Intrinsic viscosity of dispersions of core shell-particles

An analytic solution of the Brinkman and Stokes equations for a rigid sphere surrounded by a porous shell in pure
straining flow is presented. The solution permits for an analytic determination of the intrinsic viscosity in the dilutelimiting
expansion for the steady shear viscosity. The porous layer, characterized by a thickness and a constant
permeability, alters the intrinsic viscosity from the Einstein value. A hydrodynamic layer thickness based on the
intrinsic viscosity exhibits only a tenuous connection to the actual layer thickness within the present model. Together
with the analytical solution for the translational diffusion coefficient, derived previously by Masliyah and co-workers,
the present solution allows for a more detailed characterization of polymerically stabilized particles than the commonly
used effective hard-sphere model