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Flow Induced by the Presence of a Conducting Porous Sphere in a Fluid Carrying a Uniform Current
Author(s) -
Gupta R. K.
Publication year - 1976
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19760560504
Subject(s) - drag , compressibility , mechanics , reynolds number , drag coefficient , porosity , physics , current (fluid) , stokes flow , classical mechanics , viscous liquid , flow (mathematics) , materials science , thermodynamics , composite material , turbulence
The effect of permeability on the drag coefficient induced by the passage of a uniform current parallel to the axis of a stationary porous conducting spherical shell in an incompressible viscous fluid occupying, inside and outside the sphere, is investigated. It is assumed that at infinity the velocity and uniform current are parallel to the axis of revolution. The method of matched asymptotic expansions is employed for investigating the effect of a uniform current on the velocity field. It has been observed that the drag found by the author [1] for the same problem in viscous incompressible fluid increases or decreases depending upon whether the fluid conductivity is larger than that of the sphere or vice versa. Akin to the previous solution derived by the author Stokes expansion in the two cases (i.e. inner and interior) depends upon the two parameters of porosity upto second approximation, but the drag is dependent upon m 0 the first porosity parameter upto an order R the Reynolds number. The range of m 0 remains the same as before i.e. 0 ≦ m 0 ≦ 1/7.