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Modèle multi-bulles pour cavitation. Equation d'évolution pour la pression

Abstract : This thesis work concerns the modelling of cavitation, a phenomenon by which almost empty bubbles are formed in a liquid in depression. The study of cavitation gave several models in literature almost all of these models disregard the interactions between the bubbles and the rise of pressure which results in certain phases of the evolution of the cavitation, as observed in experiments by Franc et al. (1995) and Ohl (2002). In our work, we propose a new evolution model in the size of the bubbles, in which two non-identical bubbles are localized in a controlled expansion volume. The presence of two bubbles introduces an instability in which the exchange of void seems to be an additional degree of autonomy. Our model includes the possibility for many small bubbles to disappear or not depending on whether there is lower or not than the critical radius. According to the model, there can be many collapses of small bubbles as soon as the phenomenon of cavitation appears which is in accordance with the experimental observation of a noise in the appearance zone of Buogo et al (2002). The model reveals the pressure as an unknown factor of the problem for which we have highlighted an independent evolution of an equation of that voluminal mass. The comparison of the size of the bubbles and the pressure depending on the time obtained with the model is in accordance with the measurements carried out in 2002.
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Contributor : Mahamadou Adama Maiga <>
Submitted on : Saturday, February 6, 2010 - 8:05:53 PM
Last modification on : Tuesday, November 24, 2020 - 2:18:05 PM
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  • HAL Id : tel-00453961, version 1



Mahamadou Adama Maiga. Modèle multi-bulles pour cavitation. Equation d'évolution pour la pression. Mécanique []. Université des Sciences et Technologie de Lille - Lille I, 2008. Français. ⟨tel-00453961⟩



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