Abstract
In the present investigation the procedure of matched asymptotic expansion has been applied to obtain a higher approximation for the flow of an incompressible second-order fluid past a porous sphere. The boundary conditions have been satisfied by matching Stokes (inner) and Oseen (outer) solutions of the stream function. The terms in the inner expansion are the solutions of nonlinear partial differential equations which have been solved approximately by expanding in terms of a non-Newtonian parameter S, which is small. The drag experienced by the sphere has been obtained and is discussed for a few particular cases.
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