Abstract
AbstractThe problem of flow past and through a porous approximate sphere in a uniform flow at small Reynolds number is considered. It is assumed that the Stokes equation holds outside the sphere and Brinkman's law holds inside the sphere. The stream function and the pressure distribution, both for the flow inside and outside are obtained in terms of Bessel and Gegenbauer functions of the first kind. The drag force experienced by the particle is determined and its variation with respect to permeability parameter for different values of stress jump coefficient is studied numerically. The special cases of flow past a porous sphere and spheroid are obtained from the present analysis.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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