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Motions of a porous particle in stokes flow part 2. Linear flows near a fluid interface

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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 viscosily ratio 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 Ihe force and torque are then applied, in combination with Ihe corresponding solutions obtained in earlier publications for the translation and rotalion through a quiescent fluid, to determine the motion of a neutrally buoyant particle freely suspended in the flow.

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Authors and Affiliations

  1. Department of Chemical Engineering, Korea Institute of Technology, Yusungku, 305–701, Teajon-shi

    Seung-Man Yang & Won-Hi Hong

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  1. Seung-Man Yang
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  2. Won-Hi Hong
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Yang, SM., Hong, WH. Motions of a porous particle in stokes flow part 2. Linear flows near a fluid interface. Korean J. Chem. Eng. 6, 234–245 (1989). https://doi.org/10.1007/BF02697686

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  • DOI: https://doi.org/10.1007/BF02697686

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