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Ballottement des liquides dans les réservoirs cylindriques soumis à une oscillation harmonique: régimes d'onde non-linéaire et brisure

Abstract : We consider liquid sloshing in cylindrical reservoirs for high fill ratio. The system is subjected to a rectilinear horizontal, periodic forcing at low frequency. Image analysis as well as capacitance probe measurements of the time variation of the wave amplitude were conducted to determine the wave motions and wave front destabilization. Three regimes are found to exist: a plane antisymmetric mode, a chaotic regime and a swirling mode. The forced mode is well described by a damped simple pendulum. This mechanical model allows to predict the initial coexistence of the decaying natural mode and the forced mode and to determine the stationary amplitude and the phase-shift with the excitation. The resonance is observed for frequencies lower than the linear natural frequency of the first mode, the non linearity is negative for these fill ratios. So the plan mode breaks and a pseudo periodic regime which consists in an alternance of the different modes and of periods of breaking sets up. The detailed study of the breaking phenomena is realized in square tank. The wave front at the wall is destabilized by transverse waves of Faraday type. This instability leads to a strong modification of the wave profile. It leads also to an important creation of bubbles entrained and of drops by splashing phenomena. For frequencies just above resonance; a swirling mode, progressive azimutal wave, emerges. This mode exists for high frequencies thanks to a rotation of the fluid mass and Doppler effect. It is still stable with very large wave amplitudes
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https://tel.archives-ouvertes.fr/tel-00009117
Contributor : Aude Royon-Lebeaud <>
Submitted on : Wednesday, April 27, 2005 - 1:59:13 PM
Last modification on : Friday, November 6, 2020 - 3:53:37 AM
Long-term archiving on: : Friday, September 14, 2012 - 12:50:26 PM

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  • HAL Id : tel-00009117, version 1

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Aude Royon-Lebeaud. Ballottement des liquides dans les réservoirs cylindriques soumis à une oscillation harmonique: régimes d'onde non-linéaire et brisure. Mécanique [physics.med-ph]. Université Joseph-Fourier - Grenoble I, 2005. Français. ⟨tel-00009117⟩

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