Abstract
The present study consists in a further step of a path finalised to investigate, with proper analytical methods, hydrodynamic cavitation, that is to predict the bubble motion, when the bubble lies in a prescribed flow, as it would be in the presence of hydrodynamic devices. The motion, within a fluid at rest, of a bubble in a plane parallel to the gravity field is studied here, as a first step to investigate the behavior of the bubble when subject to transport of a background two-dimensional flow field.
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Notes
- 1.
In fact:
$$ \ddot{x}_{\text {cm}1} = \dfrac{d}{dt}(w_{\text {cm}}\cos \alpha ) = \dot{w}_{\text {cm}}\cos \alpha - w_{\text {cm}}\sin \alpha \,\dot{\alpha }, \qquad \ddot{x}_{\text {cm}2} = \dfrac{d}{dt}(w_{\text {cm}}\sin \alpha ) = \dot{w}_{\text {cm}}\sin \alpha + w_{\text {cm}}\cos \alpha \,\dot{\alpha }. $$
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Acknowledgments
Activities described here were conducted under Grant CTN01_00176_163601, Project TRIM (Technology and Industrial Research for Maritime Mobility), coordinated by National Research Council of Italy, funded by the Ministry of Education, University and Research within the National Technology Clusters initiative.
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De Bernardis, E., Riccardi, G. (2020). Dynamics of a Bubble Moving Through a Liquid. In: Carcaterra, A., Paolone, A., Graziani, G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_5
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DOI: https://doi.org/10.1007/978-3-030-41057-5_5
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