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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.259 SNIP: 0.466 CiteScore™: 0.83

ISSN Imprimir: 2151-4798
ISSN On-line: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.2018026626
pages 115-127

HYDRODYNAMIC PERMEABILITY OF A MEMBRANE OF POROUS CYLINDRICAL PARTICLE WITH VARYING PERMEABILITY: EFFECT OF STRESS JUMP CONDITION

Vineet Kumar Verma
Department of Mathematics and Astronomy, University of Lucknow, Uttar Pradesh, 226007, India
Rajeev Kumar Verma
Department of Mathematics and Astronomy, University of Lucknow, Uttar Pradesh, 226007, India

RESUMO

The present paper concerns the flow through membrane formed by a swarm of composite cylindrical particles of radially varying permeability. The Brinkman equation is used for formulation of flow through porous medium and Stokes equation is used for flow through clear fluid region. To model flow through assemblage of particles, cell model technique has been used, i.e., the porous cylindrical shell is assumed to be confined within a hypothetical cell of same geometry. Effect of various parameters on the permeability of swarm is discussed analytically as well as graphically. The hydrodynamic permeability of the membrane is calculated by the Happel–Brenner cell method.


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