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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.2020031001
pages 149-160

FLOW PAST POROUS SPHERE COVERED WITH ANOTHER POROUS LAYER OF DIFFERENT PERMEABILITY

Vineet Kumar Verma
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
Hariom Verma
Department of Mathematics and Astronomy University of Lucknow, Lucknow, INDIA-226007

ABSTRAKT

In the present paper, we have studied the slow flow of liquid past a porous sphere covered with another porous layer of different permeability. Flow in the clear region and porous sphere is governed by the Stokes equation and Brinkman equation, respectively. An analytical solution of the problem is obtained by using the continuity of the velocity and stress at the interface of the fluid and the porous region as a boundary condition. An exact solution of the problem is obtained, and streamlines inside and outside the porous composite sphere, radial velocity, and the drag force are shown in graphs for different values of the permeability parameters. The influence of various parameters such as permeability on streamlines and drag force are discussed.

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