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Journal of Porous Media
インパクトファクター: 1.752 5年インパクトファクター: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i12.30
pages 1105-1110

SLOW STEADY ROTATION OF A POROUS SPHERE IN A SPHERICAL CONTAINER

Darbhasayanam Srinivasacharya
Department of Mathematics, National Institute of Technology,Warangal, Telangana, 506004, India
M. Krishna Prasad
Department of Mathematics, National Institute of Technology, Warangal 506 004, A.P., India

要約

The problem of steady rotation of a porous sphere located at the center of a spherical container has been investigated. The flow in the spherical container is governed by the Stokes equations. The flow within the porous sphere is governed by the Brinkman equation. The boundary conditions used at the interface are the stress jump condition for tangential stresses, continuity of the normal stresses, and velocity components. The torque experienced by the porous spherical particle is obtained. The wall correction factor is calculated. The special cases of rotation of a porous sphere and a solid sphere in an unbounded medium are obtained from the present analysis. The variations of torque and wall correction factor are studied with respect to permeability, separation parameter, and stress jump coefficient.


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