A summary of new predictive high frequency thermo-vibrational models in porous media

In this chapter, we consider the effect of mechanical vibration on the onset of convection in porous media. The porous media is saturated either by a pure fluid or by a binary mixture. The importance of transport model on stability diagrams are presented and discussed. The stability threshold for the Darcy-Brinkman case in the RaTc-R and kc-R diagrams are presented (where RaTc, kc and R are the critical Rayleigh number, the critical wave number and the vibration parameters respectively). It is shown that there is a significant deviation from the Darcy model. In the thermo-solutal case with the Soret effect, the influence of vibration on the reduction of multi-cellular convection is emphasized. A new analytical relation for obtaining the threshold of mono-cellular convection is derived. This relation shows how the separation factor Ψ is related to controlling parameters of the problem, Ψ = f (R, ε*, Le) when the wave number k -> 0. The importance of vibrational parameter definition is highlighted and it is shown how, by using a proper definition for vibrational parameter, we may obtain compact relationship. It is also shown how this result may be used to increase components separation

On the vibrational convective instability of a horizontal, binary-mixture layer with Soret effect

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Nonlinear regimes of thermovibrational convection in a plane horizontal layer of a binary mixture with the Soret effect

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On the convective instability of a horizontal binary mixture layer with Soret effect under transversal high frequency vibration

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On vibrational convective instability of binary mixture horizontal layer with Soret effect

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Thermal vibrational convection in a horizontal binary mixture layer and the Soret effect

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Convective flows in a liquid bridge subjected to high frequency vibrations

International audienceThermovibrational convective flows in a cylindrical liquid zone sujected to axial high frequency vibrations have been studied theoretically