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Instabilités 3D de Convection Thermocapillaire en Zone-Flottante

Abstract : We study numerically the stability, with respect to 3D perturbations, of the 2D flow of a laterally heated liquid maintained thanks to capillarity between two coaxial isothermal rods. The numerical solutions are calculated with spectral collocation method. Stationary flows are obtained with Newton method and their stability is determined through an Arnoldi method. The study has been performed over a large range of Prandtl number values, from 0.001 to 100 with an aspect ration equal to 2. We analyze the destabilization mechanism through the perturbation energy growth rate. A new tool, the adjoint system, allows us to localize the most sensitive regions of the flow with respect to impulse perturbations. The most sensitive structures of the 2D stationary flows are identified. The 3D structure of weakly non linear flows has also been described.
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https://tel.archives-ouvertes.fr/tel-00011340
Contributor : Othman Bouizi <>
Submitted on : Tuesday, January 10, 2006 - 4:43:35 PM
Last modification on : Thursday, December 10, 2020 - 12:31:16 PM
Long-term archiving on: : Monday, September 17, 2012 - 10:40:09 AM

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  • HAL Id : tel-00011340, version 1

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Othman Bouizi. Instabilités 3D de Convection Thermocapillaire en Zone-Flottante. Dynamique des Fluides [physics.flu-dyn]. Université Paris Sud - Paris XI, 2004. Français. ⟨tel-00011340⟩

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