The aim of this thesis was to understand how a non-Newtonian fluid like chocolate fluidises under vibration. The problem was approached both experimentally and computationally, employing the finite element method as implemented in oomph-lib. In order to model a non-Newtonian fluid its constitutive behaviour has to be known. For this purpose, rheological measurements on tempered chocolate were performed. The chocolate was modelled using generalised Newtonian models for the viscosity and it was found that the Sisko model provided the best fit to the data. The generalised Newtonian Navier-Stokes equations were implemented within oomph-lib and their validation against analytical solutions yielded excellent agreement. Both the experiments and the computations for a sessile drop of chocolate, which is vibrated vertically, spreading on a layer of the same fluid yielded qualitatively similar results. The parameter which controls the spreading is the acceleration arising from the vibration. The drop rests on the layer and does not spread under gravity and small accelerations. However, as the acceleration increases and exceeds a threshold the drop starts to spread out. For a constant amplitude vibration, the spreading rate increases with increasing frequency and for large frequencies approaches a theoretical spreading law which corresponds to viscous dominated spreading of a Newtonian drop.

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Dans le but d’améliorer le comportement thermo-mécanique des aubes de turbine présentes dans les moteurs d’avion développés par SAFRAN, il est nécessaire de mettre au point un nouveau matériau composite. Le procédé de fabrication de ce matériau est complexe et requiert une densification par voie liquide divisée en deux étapes. Cette thèse s’intéresse à la modélisation numérique de la première étape appelée Slurry Cast/APS.Celle-ci consiste en l’injection et le confinement, dans la préforme fibreuse, de particules préalablement mises en suspension. Pour cela, nous avons développé à l’échelle des fibres,un modèle qui utilise les équations de Navier-Stokes incompressibles et monophasiques ,l’équation de Phillips [Phillips et al., 1992] et une loi rhéologique [Krieger, 1972]. Après validation des résultats numériques par comparaison avec des résultats expérimentaux [Hampton et al., 1997] et théoriques [Belfort et al., 1994], le modèle est utilisé pour simuler l’écoulement autour de géométries de tissage proches du matériau étudié. / In order to improve thermo-mechanical behavior of tubine blades in SAFRAN engines plane, a new composite material is necessary. The manufacturing process to obtain this composite is intricate and requires a two steps fluid densification process. This thesis focuses on numerical simulation of the first one called Slurry Cats/APS. In this step, suspended particles are introducted and captured in the reinforcement. For that purpose,we carry out a model at fiber scale, using Navier-Stokes equations in incompressible and monophasic formulation, Phillips equations [Phillips et al., 1992] and a rheological law [Krieger, 1972]. After validation step consisting in a comparison of computational results with experiments [Hampton et al., 1997] and theorical law [Belfort et al., 1994], this model has been used to simulate flow around geometries similar to those encountered in our composite material.