Publication de 4 numéros par an
ISSN Imprimer: 2151-4798
ISSN En ligne: 2151-562X
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EXACT SOLUTION OF FLOW PAST A POROUS CYLINDRICAL SHELL
RÉSUMÉ
An exact solution for slow flow of a viscous fluid past a porous cylindrical shell is obtained by using the Brinkman equation. Flow in a clear region outside the cylindrical shell is governed by the Stokes equation. At the interface of the clear fluid and porous region, the continuity of velocity components and continuity of the stress components are used. Exact expression for velocity, pressure, and drag D on the solid cylinder is obtained. In the limiting case when permeability of the porous region is infinite, D = 0, which is a well-known D'Alembert's paradox. The effect of the permeability parameter on the stream lines, radial velocity, and drag on the solid cylinder is discussed and exhibited graphically. It is observed that drag on the inner solid cylinder not only changes with the permeability of the outer porous cylinder, but it also depends on the gap parameter.