DÉFORMATION ET TRANSPORT D’UN FILAMENT ÉLASTIQUE DANS UN ÉCOULEMENT CELLULAIRE VISQUEUX

Abstract : We study the deformation and transport of an elastic filament in a viscous cellular flow. We used a simple experimental model system consisting of a one centimeter long elastic filament with controlled geometry and elasticity and a viscous flow formed by a lattice of stagnation points.First, we characterized the buckling instability of the filament approaching a stagnation point. We have shown that this instability is controlled by the elasto-viscous number Sp which compares the relative intensity of the viscous forces deforming the filament and the elastic forces resisting the deformation.Then, we showed that the parameters related to the dynamics of the fiber transported are crucial in the prediction of the buckling probability. In parallel to the experimental analysis, numerical simulations were performed in collaboration with Michael Shelley. The characterization of the dynamical parameters and their influence on the buckling instability allows the prediction of a buckling event as a function of the elasto-viscous number Sp and the dynamical parameters linked to the transport of filament accros the lattice.Finally, we investigated how the deformation and the size of the filament affect its transport properties.
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  • HAL Id : tel-01089550, version 1

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N. Quennouz. DÉFORMATION ET TRANSPORT D’UN FILAMENT ÉLASTIQUE DANS UN ÉCOULEMENT CELLULAIRE VISQUEUX. Physique [physics]. UPMC; UNIVERSITÉ PARIS VI – SORBONNE UNIVERSITÉS, 2013. Français. ⟨tel-01089550⟩

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