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Modélisation numérique d'écoulements de mousse

Ibrahim Cheddadi 1
1 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
Abstract : Liquid foam flows are involved in numerous applications, e.g. food and cosmetics industries, oil extraction, nuclear decontamination. Moreover, their study leads to fundamental knowledge: as it is easier to manipulate and analyse, foam is used as a model material to understand the flow of emulsions, polymers, pastes, or cell agregates, all of which display both solid and liquid behaviour. Systematic experiments performed by François Graner et al. provide precise data that emphasize the non newtonian properties of the foam. Meanwhile, Pierre Saramito proposed a visco-elasto-plastic continuous tensorial model, akin to predict the behaviour of the foam. The goal of this thesis is to understand this complex behaviour, using these two elements. We have built and validated a resolution algorithm based on a bidimensional finite elements methods. The numerical solutions are in excellent agreement with the spatial distribution of all measured quantitities, and confirm the predictive capabilities of the model. The dominant parameters have been identified and we evidenced the fact that the viscous, elastic, and plastic contributions to the flow have to be treated simultaneously in a tensorial formalism. We provide a substantial contribution to the understanding of foams and open the path to realistic simulations of complex VEP flows for industrial applications.
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Submitted on : Monday, July 5, 2010 - 9:28:44 AM
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Ibrahim Cheddadi. Modélisation numérique d'écoulements de mousse. Dynamique des Fluides [physics.flu-dyn]. Université Joseph-Fourier - Grenoble I; Université de Grenoble, 2010. Français. ⟨tel-00497436⟩

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