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Journal of Porous Media

年間 12 号発行

ISSN 印刷: 1091-028X

ISSN オンライン: 1934-0508

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Viscous Flow Past a Spherical Void in Porous Media: Effect of Stress Jump Boundary Condition

巻 9, 発行 8, 2006, pp. 745-767
DOI: 10.1615/JPorMedia.v9.i8.40
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G. P. Raja Sekhar
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302
M. K. Partha
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India
P. V. S. N. Murthy
Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, 721302, India

要約

The effect of the spherical void of characteristic size R0 in porous media in an undisturbed uniform flow U∞ is investigated analytically. The flow inside the void is governed by Stokes equation, and the flow in the porous region is governed by Brinkman equation. The stress jump boundary condition proposed by Ochoa-Tapia and Whitaker (Int. J. Heat Mass Transfer, 38, pp. 2636−2655, 1995) for the tangential stresses at the porous liquid interface along with the continuity of velocity components and normal stress is used. The flow field is computed by matching the boundary conditions at the porous fluid interface. It is found that the effect of the void increases with the decrease of permeability. The effect of the stress jump coefficient and porosity on some of the physical quantities, such as volume flow coming inside the void, is analyzed.

によって引用された

  1. Kohr Mirela, Raja Sekhar G. P., Wendland Wolfgang L., Boundary integral method for Stokes flow past a porous body, Mathematical Methods in the Applied Sciences, 31, 9, 2008. Crossref

  2. Kohr Mirela, Prakash Jai, Raja Sekhar G.P., Wendland Wolfgang L., Expansions at small Reynolds numbers for the flow past a porous circular cylinder, Applicable Analysis, 88, 7, 2009. Crossref

  3. Prakash Jai, Raja Sekhar G. P., Kohr Mirela, Stokes flow of an assemblage of porous particles: stress jump condition, Zeitschrift für angewandte Mathematik und Physik, 62, 6, 2011. Crossref

  4. Prakash Jai, Raja Sekhar G. P., OVERALL BED PERMEABILITY FOR FLOW THROUGH BEDS OF PERMEABLE POROUS PARTICLES USING THE EFFECTIVE MEDIUM MODEL-STRESS JUMP CONDITION, Chemical Engineering Communications, 198, 1, 2010. Crossref

  5. KOHR MIRELA, RAJA SEKHAR G. P., WENDLAND WOLFGANG L., BOUNDARY INTEGRAL EQUATIONS FOR A THREE-DIMENSIONAL STOKES–BRINKMAN CELL MODEL, Mathematical Models and Methods in Applied Sciences, 18, 12, 2008. Crossref

  6. Prakash Jai, Sekhar G. P. Raja, Slow motion of a porous spherical particle with a rigid core in a spherical fluid cavity, Meccanica, 52, 1-2, 2017. Crossref

  7. Prakash Jai, Hydrodynamic mobility of a porous spherical particle with variable permeability in a spherical cavity, Microsystem Technologies, 26, 8, 2020. Crossref

  8. Kohr Mirela, Sekhar G. P. Raja, Existence and uniqueness result for the problem of viscous flow in a granular material with a void, Quarterly of Applied Mathematics, 65, 4, 2007. Crossref

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