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Special Topics & Reviews in Porous Media: An International Journal
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
Department of Mathematics and Astronomy University of Lucknow, Lucknow, INDIA-226007
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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