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Etude théorique des milieux diphasiques du type liquide à bulles

Abstract : Two problems about the multiphase flows have been investigated. The first one deals with the shear flow stability in bubbly fluids. In particular, the linear stability of the plane Couette flow has been proved in the long wave approximation. By using the model of Iordanski, Kogarko and Van Wijngaarden, the asymptotic behaviour (in time) of small perturbations is studied. It is proved that, actually, perturbations can be decomposed on the discrete and continuous spectrum. In the second problem, the hydrodynamic interactions between bubbles in an irrotational, incompressible and inviscid liquid are studied. Two limit cases are investigated. In the rigid sphere limit, the bubble interactions are described by two effective potentials. The first, which dominates at high temperature, is short range repulsive while the other is attractive and responsible of bubble clustering. In the immobile oscillating sphere limit, the potential is long range and repulsive.
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Contributor : Nourdine Chikhi <>
Submitted on : Monday, November 28, 2005 - 10:22:58 PM
Last modification on : Thursday, March 5, 2020 - 6:59:28 PM
Long-term archiving on: : Friday, September 14, 2012 - 4:05:54 PM


  • HAL Id : tel-00011129, version 1



Nourdine Chikhi. Etude théorique des milieux diphasiques du type liquide à bulles. Dynamique des Fluides [physics.flu-dyn]. Université de droit, d'économie et des sciences - Aix-Marseille III, 2005. Français. ⟨tel-00011129⟩



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