Journal of Applied Mathematics and Decision Sciences
Volume 4 (2000), Issue 2, Pages 165-173

Modelling fluid flow and heat transfer in a saturated porous medium

D. A. Nield

Department of Engineering Science, University of Auckland, Auckland Private Bag 92019, New Zealand

Copyright © 2000 D. A. Nield. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Since the days of Darcy, many refinements have been made to the equations used to model single-phase fluid flow and heat transfer in a saturated porous medium, to allow for such basic things as inertial effects, boundary friction and viscous dissipation, and also additional effects such as those due to rotation or a magnetic field. These developments are reviewed.