On a family of differential equations for boundary layer approximations in porous media
ZAKARIA BELHACHMI, BERNARD BRIGHI, KHALID TAOUS
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Source: Crossref
Published: Aug 1, 2001
DOI: 10.1017/s0956792501004582
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Free convection along a vertical flat plate embedded in a porous medium is considered, within the framework of boundary layer approximations. In some cases, similarity solutions can be obtained by solving a boundary value problem involving an autonomous third-order nonlinear equation, depending on a parameter related to the temperature on the wall. The paper deals with existence and uniqueness questions to this problem, for every value of the parameter.
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