The creeping motion of a porous sphere with impermeable core at the instant it passes the center of a spherical container with Ochoa-Tapia and Whitaker's stress jump boundary condition has been investigated. The Brinkman's model for the flow inside the porous sphere and the Stokes equation for the flow in the spherical container were used to study the motion. The stream function and the pressure distribution, both for the flow inside the porous sphere and inside the spherical container are obtained in terms of modified Bessel functions of the first kind and second kind and Gegenbauer function of the first kind. The drag force experienced by the porous spherical particle and wall correction factor is determined.
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