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
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 322kB |
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 |
HAL Id: | hal-03521155 |
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 - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) |
Laboratory name: | |
Statistics: | download |
Deposited On: | 01 Apr 2014 10:34 |
Repository Staff Only: item control page