Abstract
Motion of a gas bubble in an oscillating fluid is of fundamental interest for the theory of various widely used technological processes, in particular, for the flotation process. Therefore, many studies have been concerned with this problem, some of those being undertaken by eminent scientists. The main remarkable effects are gas bubbles sinking in vibrating fluid’s volume and asynchronous self-induced vibration of emerging air cushion. In the authors’ recent papers, the problem has been solved by means of the concept of vibrational mechanics and the method of direct separation of motions; experimental studies have been also conducted. The present paper generalizes those studies. It is shown that the condition of gas bubbles sinking is strongly dependent on its own compressibility as well as on the compressibility of the surrounding medium. A formula for the average velocity of gas bubble motion, which significantly depends on the depth of its submergence and on vibration parameters, is derived. A simple physical explanation of the experimentally observed and analytically studied effects is given.
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Acknowledgments
The financial support from the Russian Foundation of Fundamental Research (P), grant 10-08-00201 is gratefully acknowledged.
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Sorokin, V.S., Blekhman, I.I., Blekhman, L.I., Vasilkov, V.B., Yakimova, K.S. (2011). Gas Bubbles Motion in an Oscillating Fluid. In: Náprstek, J., Horáček, J., Okrouhlík, M., Marvalová, B., Verhulst, F., Sawicki, J. (eds) Vibration Problems ICOVP 2011. Springer Proceedings in Physics, vol 139. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2069-5_17
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DOI: https://doi.org/10.1007/978-94-007-2069-5_17
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Online ISBN: 978-94-007-2069-5
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