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Journal of Porous Media
Impact-faktor: 1.752 5-jähriger Impact-Faktor: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i9.40
pages 849-866

STOKES FLOW PAST AN ASSEMBLAGE OF AXISYMMETRIC POROUS SPHEROIDAL PARTICLE-IN-CELL MODELS

El-Sayed Ibrahim Saad
Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt; Department of Mathematics, Faculty of Science, Shaqra University, Dawadmi, Saudi Arabia

ABSTRAKT

The steady axisymmetric Stokes flow of an incompressible viscous fluid past an assemblage of porous concentric spheroidal particle-in-cell models is studied. Stokes equations are employed inside the fluid envelope and Brinkman equations are used inside the porous region. Continuity of velocity and stress at the porous fluid interface is used, while at the fluid interface of the envelope, different feasible boundary conditions have been used. The same small departure from a sphere is considered for each spheroidal surface. In the four models, the expressions for the pressure and stream functions in both flow regions are completely determined to the first order in a small parameter characterizing the deformation of the spheroidal surface from the spherical shape. As an application, both types of spheroids, prolate and oblate, are considered. In each case, the corresponding expression for the drag acting on the porous particle is derived and, hence, the particle mobility is obtained. The special cases of the expression for drag on the porous sphere in the fictitious spherical envelope, the porous spheroid in the case of uniform streaming in an unbounded fluid, and the impermeable solid spheroid-in-cell model are obtained.


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