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Transition laminaire-turbulent en conduite cylindrique pour un fluide non Newtonien

Abstract : The main objective of this thesis is to provide a description of the transition to turbulence of a shear thinning fluid in pipe flow. A linear stability analysis of the base flow is done. Results show that the flow is linearly stable and the optimal perturbation is given by a pair of counter rotating vortex. This kind of perturbation is used as an initial condition of a computational code which integrates the governing equations. Inertial and viscous non linear terms generate a secondary base flow with inflection points, which is linearly unstable to 3D perturbations. A secondary instability analysis is done, regarding the shape of unstable eigenvectors. Depending the rheological parameters and the size of the primary perturbation, the unstable mode might be near the wall or the center of the pipe. Finally, a non linear stability analysis of the streaks to 3D perturbations of weak amplitude, obtaining a delay in the transition to turbulence due to shear thinning
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https://hal.univ-lorraine.fr/tel-01749302
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Santiago Nicolas Lopez Carranza. Transition laminaire-turbulent en conduite cylindrique pour un fluide non Newtonien. Autre [cond-mat.other]. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0118⟩. ⟨tel-01749302⟩

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