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A Derivation of the Volume-Averaged Boussinesq Equations for Flow in Porous Media with Viscous Dissipation

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Abstract

The volume-averaged equations are derived for convective flow in porous media. In the thermal energy equation viscous dissipation is taken into account, and a suitable form is obtained which is valid when Brinkman effects are significant.

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Authors and Affiliations

  1. Laboratory for Aero and Hydrodynamics, J.M. Burgerscentrum, Leeghwaterstraat 21, 2628, CA, Delft, The Netherlands

    W. P. Breugem

  2. Department of Mechanical Engineering, University of Bath, Claverton Down, Bath, BA2 7AY, England

    D. A. S. Rees

Authors
  1. W. P. Breugem
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  2. D. A. S. Rees
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Correspondence to D. A. S. Rees.

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Breugem, W.P., Rees, D.A.S. A Derivation of the Volume-Averaged Boussinesq Equations for Flow in Porous Media with Viscous Dissipation. Transp Porous Med 63, 1–12 (2006). https://doi.org/10.1007/s11242-005-1289-1

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  • DOI: https://doi.org/10.1007/s11242-005-1289-1

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