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A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values
Authors:Al-Hadhrami  A. K.  Elliott  L.  Ingham  D. B.
Affiliation:(1) Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, U.K
Abstract:In this paper a unified mathematical theory for the viscous dissipation term in the governing Brinkman equation is derived. This term has, unlike other models, the correct asymptotic behaviour in both the fully Darcy and Newtonian fluid flow limits.
Keywords:viscous dissipation  Brinkman equation  Darcy equation
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