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Journal Articles Physics of Fluids Year : 2004

Comments on the mean flow averaged model


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.


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hal-01872890 , version 1 (12-09-2018)



Gérald Bardan, Yazdan Pedram Razi, Abdelkader Mojtabi. Comments on the mean flow averaged model. Physics of Fluids, 2004, 16 (12), pp.4535-4538. ⟨10.1063/1.1810771⟩. ⟨hal-01872890⟩
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