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On the use of a Darcy-Forchheimer like model for a macro-scale description of turbulence in porous media and its application to structured packings

Soulaine, Cyprien and Quintard, Michel On the use of a Darcy-Forchheimer like model for a macro-scale description of turbulence in porous media and its application to structured packings. (2014) International Journal of Heat and Mass Transfer, 74. 88 - 100. ISSN 0017-9310

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Official URL: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2014.02.069

Abstract

In this paper, we propose a methodology to derive a macro-scale momentum equation that is free from the turbulence model chosen for the pore-scale simulations and that is able to account for large-scale anisotropy. In this method, Navier–Stokes equations are first time-averaged to form a new set of equations involving an effective viscosity. The resulting balance equations are then up-scaled using a volume averaging methodology. This procedure gives a macro-scale generalized Darcy–Forchheimer equation to which is associated a closure problem that can be used to evaluate the apparent permeability tensor including inertia effects. This approach is validated through 2D and 3D calculations. Finally, the method is used to evaluate the tensorial macro-scale properties for a gas flow through structured packings.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The original publication is available at http://www.sciencedirect.com
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Laboratory name:
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Deposited By: Michel QUINTARD
Deposited On:01 Apr 2014 10:34

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