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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 89–101 (Mi pmtf1661)  

Effect of vortex fluid motion on nonspherical oscillations of a gas bubble

A. A. Aganin, M. A. Il'gamov, D. Yu. Toporkov

Institute of Mechanics and Engineering, Kazan’ Scientific Center, Russian Academy of Sciences, Kazan’, 420111, Russia
Abstract: This paper studies the effect of the vortex fluid motion produced by periodic radial oscillations of a weakly nonspherical gas bubble on the variation in the small initial deviation from the spherical shape of this bubble. It is shown that the most intense vortex motion of the fluid occurs in the boundary layer (near field), and in the far field, the vortex fluid motion rapidly transforms to potential motion. The ranges of problem parameters in which vortex motion in the far field flow does not affect bubble oscillations and the ranges in which accounting for this motion is necessary for a qualitatively correct description of the oscillations are determined.
Keywords: periodic action, stability of spherical bubble shape, deviation, effect of vortex motion, vorticity.
Received: 17.04.2007
Accepted: 02.09.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 6, Pages 849–859
DOI: https://doi.org/10.1007/s10808-010-0106-y
Bibliographic databases:
Document Type: Article
UDC: 534.2:532
Language: Russian
Citation: A. A. Aganin, M. A. Il'gamov, D. Yu. Toporkov, “Effect of vortex fluid motion on nonspherical oscillations of a gas bubble”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 89–101; J. Appl. Mech. Tech. Phys., 51:6 (2010), 849–859
Citation in format AMSBIB
\Bibitem{AgaIlgTop10}
\by A.~A.~Aganin, M.~A.~Il'gamov, D.~Yu.~Toporkov
\paper Effect of vortex fluid motion on nonspherical oscillations of a gas bubble
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 6
\pages 89--101
\mathnet{http://mi.mathnet.ru/pmtf1661}
\elib{https://elibrary.ru/item.asp?id=15281653}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 6
\pages 849--859
\crossref{https://doi.org/10.1007/s10808-010-0106-y}
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