Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838309 | Nonlinear Analysis: Real World Applications | 2010 | 10 Pages |
Abstract
In order to take into account thermal effects in flows through porous media, one makes ad hoc modifications to Darcy’s equation by appending a term that is similar to the one that is obtained in the Oberbeck–Boussinesq approximation for a fluid. In this short paper we outline a systematic procedure for obtaining an Oberbeck–Boussinesq type of approximation for the flow of a fluid through a porous medium. In addition to establishing the appropriate equation for a flow governed by Darcy’s equation, we proceed to obtain the approximations for flows governed by equations due to Forchheimer and Brinkman.
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Authors
K.R. Rajagopal, G. Saccomandi, L. Vergori,