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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Druckformat: 2151-4798
ISSN Online: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v3.i3.10
pages 201-208

FLOW IN A CHANNEL FILLED BY HETEROGENEOUS POROUS MEDIUM WITH A LINEAR PERMEABILITY VARIATION

Vineet Kumar Verma
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
Sunil Datta
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India-226007

ABSTRAKT

This paper is devoted to the study of channel flow of a viscous incompressible fluid through a heterogeneous porous medium with linear permeability variation. The permeability of the porous medium is taken to vary with the transverse distance between the plates of the channel. Analytical expressions for the velocity for two cases, Poiseuille and Couette flow, are obtained. The influence of the various parameters on the flow is discussed. Velocity profiles and rate of volume flow for different cases are exhibited graphically.


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