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Vibration-induced wall–bubble interactions under zero-gravity conditions

Published online by Cambridge University Press:  27 August 2024

D.V. Lyubimov ,
T.P. Lyubimova Open the ORCID record for T.P. Lyubimova [Opens in a new window] ,
S. Meradji Open the ORCID record for S. Meradji [Opens in a new window]  and
B. Roux
D.V. Lyubimov
Affiliation:
Department of Theoretical Physics, Perm State University, 614990 Perm, Russia
T.P. Lyubimova*
Affiliation:
Department of Theoretical Physics, Perm State University, 614990 Perm, Russia Institute of Continuous Media Mechanics, Ural Branch of the Russian Academy of Science, 614013 Perm, Russia
S. Meradji
Affiliation:
Laboratoire IMATH - EA 2134, Université de Toulon, 83160 Toulon, France
B. Roux
Affiliation:
Aix-Marseille Université, CNRS, Centrale Marseille, M2P2 UMR 7340, 13451 Marseille, France
*
†Email address for correspondence: lubimova@psu.ru
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Abstract

This work is devoted to a theoretical and numerical study of the dynamics of a two-phase system vapour bubble in equilibrium with its liquid phase under translational vibrations in the absence of gravity. The bubble is initially located in the container centre. The liquid and vapour phases are considered as viscous and incompressible. Analysis focuses on the vibrational conditions used in experiments with the two-phase system SF$_6$ in the MIR space station and with the two-phase system para-Hydrogen (p-H$_2$) under magnetic compensation of Earth's gravity. These conditions correspond to small-amplitude high-frequency vibrations. Under vibrations, additionally to the forced oscillations, an average displacement of the bubble to the wall is observed due to an average vibrational attraction force related to the Bernoulli effect. Vibrational conditions for SF$_6$ correspond to much smaller average vibrational force (weak vibrations) than for p-H$_2$ (strong vibrations). For weak vibrations, the role of the initial vibration phase is crucial. The difference in the behaviour at different initial phases is explained using a simple mechanical model. For strong vibrations, the average displacement to the wall stops when the bubble reaches a quasi-equilibrium position where the resulting average force is zero. At large vibration velocity amplitudes this position is near the wall where the bubble performs only forced oscillations. At moderate vibration velocity amplitudes the bubble average displacement stops at a finite distance from the wall, then large-scale damped oscillations around this position accompanied by forced oscillations are observed. Bubble shape oscillations and the parametric resonance of forced oscillations are also studied.

JFM classification

Drops and Bubbles: Drops and Bubbles Interfacial Flows (free surface): Interfacial Flows (free surface) Instability: Instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 992 , 10 August 2024 , A7
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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