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Journal of Porous Media
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ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i12.50
pages 1125-1135

FLOW OF A VISCOUS FLUID THROUGH DIFFERENT POROUS STRUCTURES EMBEDDED IN POROUS MEDIUM

Parul Saxena
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh 226007, India
Lokendra Kumar
Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sec. 62, Noida-201307, Uttar Pradesh, India

SINOPSIS

The flow of a viscous fluid through different structures embedded in a porous medium has been discussed by many mathematicians. Here the concept of fluid motion through porous structures embedded in a porous medium has been introduced. The motivation of this paper is to discuss the flow of a viscous fluid past a porous circular cylinder and porous sphere embedded in a porous medium. The Brinkman model is used for discussing the motion of fluid in porous media and matching conditions suggested by Williams have been taken for both structures. The streamlines are plotted and the drag on the porous sphere as well as the cylinder has been found. It is observed that in the case of the sphere as well as inside the cylinder the drag increases sharply with the decrease of the permeability of the embedding medium, but outside the cylinder the drag increases with the decrease of the porous material of the cylinder. Results obtained in this analysis are compared with the results obtained by applying Ochoa Tapia and Whitaker matching conditions at the interface.


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