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ON THE BRINKMAN EQUATION AND THE CONCEPT OF VISCOUS DISSIPATION IN POROUS MEDIA

Volumen 2, Edición 2, 2011, pp. 83-89
DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i2.20
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SINOPSIS

The concept of viscous dissipation in porous media is discussed. It is known that performing upscaling of the momentum equations of fluid continuum moving within porous material results in a set of unclosed system of equations. To get closure to this set of equations can prove very difficult, especially in nonperiodic porous media. Moreover, a set of length scale constraints needs to be satisfied for these equations to be adopted correctly. In this work, the upscaled momentum equation is used to derive an expression for the rate of change of kinetic energy. By slightly relaxing length scale constraints, new term appears that involve the dot product of the porosity gradient vector and velocity gradient tensor. Terms contributing to the conversion of kinetic energy into heat energy are separated and are collected in a single function named the dissipation function. This function is, however, different from that proposed in the literature and hence a resolution to this apparent controversy is needed. It is believed that any attempt to provide an expression for viscous dissipation in porous media should be based on the use of the upscaled equations and not on the semiempirical relationships that involve ad hoc terms.

CITADO POR
  1. Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2017. Crossref

  2. Nield Donald A., Bejan Adrian, Heat Transfer Through a Porous Medium, in Convection in Porous Media, 2013. Crossref

  3. Nield D. A., Kuznetsov A. V., An Historical and Topical Note on Convection in Porous Media, Journal of Heat Transfer, 135, 6, 2013. Crossref

  4. RamReddy Ch., Srivastav Abhinava, Murthy P. V. S. N., Entropy generation estimation in pseudoplastic and dilatant fluid flows over a vertical plate and frustum of a cone, International Journal of Ambient Energy, 2021. Crossref

  5. Yang Wenkai, Lu Shihong, Liu Wenhao, Numerical Simulation of Edge Effect in Resin Transfer Molding for Plain-weave Fabric, Fibers and Polymers, 21, 9, 2020. Crossref

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