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Comments on the mean flow averaged model

Bardan, Gérald and Razi, Yazdan Pedram and Mojtabi, Abdelkader Comments on the mean flow averaged model. (2004) Physics of Fluids, 16 (12). 4535-4538. ISSN 1070-6631

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Official URL: http://doi.org/10.1063/1.1810771

Abstract

The dynamic behavior of convective motion in a confined porous medium saturated by a pure fluid under the action of mechanical vibration is studied. A redefinition of vibrational Rayleigh number is proposed from which we distinguish the domain of validity of the mean flow. The weakly nonlinear stability analysis performed demonstrates, contrary to published results, that the bifurcation is of supercritical nature and the subcritical branch does not exist. It is emphasized that, in order to find the thermal behavior of the system for the onset of convection, we should separate the vibrational effect from the thermal effect involving the temperature difference.

Item Type:Article
HAL Id:hal-01872890
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)
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Deposited On:11 Sep 2018 14:05

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