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Instabilités hydrodynamiques dans les écoulements en rotation différentielle

Abstract : This dissertation presents the results of an experimental and theoretical study on the non-linear stability of differentially rotating flows. From an analysis of previous experimental data from Couette-Taylor laboratory experiments, we derive a stability criterion along with a prescription for turbulent viscosity for angular momentum. Our new experimental study shows rotation regimes unstable to finite amplitude perturbations, that were still undiscovered. We present the properties and evolution with respect to the Reynolds number of the mean flow and the velocity fluctuations. We also derive stability parameters and laws for the behavior of turbulent fluctuations, along with an expression for turbulent viscosity which is compatible with our previous prescription. Finally, we conclude with an application of that viscosity to a simple model of accretion disks.
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Contributor : Denis Richard <>
Submitted on : Wednesday, June 12, 2002 - 1:14:43 AM
Last modification on : Tuesday, December 1, 2020 - 2:48:13 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 5:30:17 PM


  • HAL Id : tel-00001393, version 1



Denis Richard. Instabilités hydrodynamiques dans les écoulements en rotation différentielle. Astrophysique [astro-ph]. Université Paris-Diderot - Paris VII, 2001. Français. ⟨tel-00001393⟩



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