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Communication Dans Un Congrès Année : 2008

Instability of a fluid inside a precessing cylinder

Résumé

The instability of a fluid inside a precessing cylinder is studied theoretically and experimentally. This study is motivated by aeronautics and geophysics applications. Precessional motion forces hydrodynamics waves called Kelvin modes whose structure and amplitude are predicted by a linear inviscid theory. When a forced Kelvin mode is resonant, a viscous and weakly nonlinear theory has been developed to predict its saturated amplitude. We show that this amplitude scales as $Re^{1/2}$ for low Reynolds numbers and as $\theta^{1/3}$ (where $\theta$ is the precessing angle) for high Reynolds numbers. These scalings are confirmed by PIV measurements. For Reynolds numbers sufficiently large, this forced flow becomes unstable. A linear stability analysis based on a triadic resonance between a forced Kelvin mode and two free modes has been carried out. The precessing angle for which the flow becomes unstable is predicted and compared successfully to experimental measurements.
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Dates et versions

hal-00426845 , version 1 (28-10-2009)

Identifiants

  • HAL Id : hal-00426845 , version 1

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Romain Lagrange, Christophe Eloy, François Nadal, Patrice Meunier. Instability of a fluid inside a precessing cylinder. 22nd International Congress of Theoretical and Applied Mechanics, Aug 2008, Adelaide, Australia. pp.112. ⟨hal-00426845⟩
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