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MOTIONS OF A POROUS PARTICLE IN STOKES FLOW PART 2. LINEAR FLOWS NEAR A FLUID INTERFACE

Korean Journal of Chemical Engineering, July 1989, 6(3), 234-245(12), 10.1007/BF02697686
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Abstract

Analytical results are presented for the motion of a porous sphere in the vicinity of a plane fluid-fluid interface. The fluids are assumed to undergo a linear undisturbed flow and the viscosity ration of the two fluids is assumed to be arbitrary. The analysis consists of the method of reflections, coupled with an application of fundamental singularity solutions for Stokes flow to calculate the hydrodynamic force and torque on the particle. The fundamental relationships for the force and torque are then applied, in combination with the corresponding solutions obtained in earlier publications for the translation and rotation through a quiescent fluid, to determine the motion of a neutrally buoyant particle freely suspended in the flow.

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