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BRINKMAN FLOW THROUGH A POROUS CYLINDER EMBEDDED IN ANOTHER UNBOUNDED POROUS MEDIUM

Volumen 22, Ausgabe 6, 2019, pp. 681-692
DOI: 10.1615/JPorMedia.2019029027
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ABSTRAKT

This work concerns the study of steady incompressible viscous fluid flow through a porous cylinder embedded in another infinite porous medium. Brinkman equations for the flow inside and outside porous cylinder in their stream function formulations are used. A closed form exact solution is obtained for the governing equations. Explicit expressions for stream functions, velocity profiles, stresses and pressures are obtained. A new result for drag force experienced by the porous cylinder is investigated. The dependence of the drag coefficient, shear stress, streamlines patterns and velocity profiles for various values of parameters are presented graphically and discussed.

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