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Natural doubly diffusive convection with vibration

Bardan, Gérald and Knobloch, Edgar and Mojtabi, Abdelkader and Khallouf, Hicham Natural doubly diffusive convection with vibration. (2000) Fluid Dynamics Research, 28 (3). 159-187. ISSN 0169-5983

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Official URL: http://doi.org/10.1016/S0169-5983(00)00028-9


We present a numerical and analytical study of doubly diffusive convection driven by horizontal thermal and solutal gradients in square and rectangular enclosures with no-slip walls subjected to high-frequency vibration. The two vertical walls of the enclosure are maintained at different but uniform temperatures and concentrations while the horizontal walls are assumed to be impermeable and insulating. The resulting system is described by time-averaged Boussinesq equations. These equations possess a doubly diffusive quasi-equilibrium solution provided the thermal and solutal buoyancy forces are equal and opposite. This solution is linearly stable up to a critical value of the stability parameter independently of the strength and orientation of the vibration. The solutions in the neighborhood of the bifurcation point are described analytically as a function of the strength and orientation of the vibration, and the larger amplitude states are computed numerically using a spectral collocation method. For vertical oscillation increasing the vibration amplitude decreases the subcriticality of the solutions and may even reverse it; the opposite occurs with horizontal vibration.

Item Type:Article
HAL Id:hal-01838576
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)
Other partners > MEDYSYS (FRANCE)
Other partners > University of California - UC Berkeley (USA)
Laboratory name:
Deposited On:13 Jul 2018 12:25

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