Resolution of a Paradox Involving Viscous Dissipation and Nonlinear Drag in a Porous Medium |
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| Authors: | Nield D A |
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| Institution: | (1) Department of Engineering Science, University of Auckland, Private Bag 92019 Auckland, New Zealand |
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| Abstract: | The modelling of viscous dissipation in a porous medium saturated by an incompressible fluid is discussed, for the case of Darcy, Forchheimer and Brinkman models. An apparent paradox relating to the effect of inertial effects on viscous dissipation is resolved, and some wider aspects of resistance to flow (concerning quadratic drag and cubic drag) in a porous medium are discussed. Criteria are given for the importance or otherwise of viscous dissipation in various situations. |
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| Keywords: | viscous dissipation Forchheimer model Brinkman model inertial effects nonlinear drag forced convection natural convection |
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