Rajagopal, K.R., Saccomandi, G. and Vergori, L. (2010) A systematic approximation for the equations governing convection–diffusion in a porous medium. Nonlinear Analysis: Real World Applications, 11(4), pp. 2366-2375. (doi: 10.1016/j.nonrwa.2009.07.010)
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Publisher's URL: http://dx.doi.org/10.1016/j.nonrwa.2009.07.010
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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vergori, Dr Luigi |
| Authors: | Rajagopal, K.R., Saccomandi, G., and Vergori, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Nonlinear Analysis: Real World Applications |
| Publisher: | Elsevier |
| ISSN: | 1468-1218 |
| ISSN (Online): | 1878-5719 |
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