The Flow over a Porous Body: A Singular Perturbation Problem with Two Parameters.

by K. Gersten, Joseph Francis Gross


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Discusses the effects of injection or suction of material near the stagnation point of a porous body. The viscous, imcompressible, two-dimensional flow over a porous body with continuous injection or suction normal to the surface is treated as a singular perturbation problem with two parameters. The bahavior of the solutions to the Navier-Stokes equations near the stagnation point is studied as a function of these parameters. Three domains can be distinguished depending on the relationship between the two parameters. Each domain corresponds to a different singular perturbation problem that can be solved by the method of matched asymptotic expansions. 49 pp. Ref. (MM)

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