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Stokes flow past a porous approximate sphere

Srinivasacharya D., Raghavacharyulu T. K. V., Radhakrishnamacharya G.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 4

689-697

In this paper, the flow of an incompressible viscous fluid past and within a porous approximate sphere directed along its axis of symmetry is considered. By assuming that Stokes equations for a creeping flow govern the flow outside the body and Darcy's law governs the tluid motion within the porous region of the body, an analytical soIution for the stream function is obtained. The drag experienced by the body is calculated and its variation with respect to the permeability parameter is studied numericaIly. Prom the present analysis, the flow past a porous sphere and spheroid are obtained as special cases.

Integral representations at the boundary for Stokes flow and related symmetric Galerkin formulation

Capuani D., Bigoni D., Brun M.

Archives of Mechanics

2005

Vol. 57, nr 5

363-385

A symmetric Galerkin boundary element formulation is given for the first time for two-dimensional, steady and incompressible flow. The formulation requires the derivation of certain integral representations (whose importance extends beyond the present application) for velocity gradient and pressure at the flow boundary; these turn out to be coupled at angular points of the contour profile.