Abstract:
A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed.
Citation:
R. I. Nigmatulin, I. Sh. Akhatov, N. K. Vakhitova, “Forced oscillations of a gas bubble in a spherical volume of a compressible liquid”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 111–118; J. Appl. Mech. Tech. Phys., 40:2 (1999), 285–291
\Bibitem{NigAkhVak99}
\by R.~I.~Nigmatulin, I.~Sh.~Akhatov, N.~K.~Vakhitova
\paper Forced oscillations of a gas bubble in a spherical volume of a compressible liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 111--118
\mathnet{http://mi.mathnet.ru/pmtf3060}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 285--291
\crossref{https://doi.org/10.1007/BF02468525}
Linking options:
https://www.mathnet.ru/eng/pmtf3060
https://www.mathnet.ru/eng/pmtf/v40/i2/p111
This publication is cited in the following 2 articles:
V.V. Konovalov, T.P. Lyubimova, S.A. Prokopev, “The interaction of a gas bubble and a solid particle in a liquid under acoustic vibrations”, Comp. Contin. Mech., 16:2 (2023), 141
Roger Jeurissen, Herman Wijshoff, Marc van den Berg, Hans Reinten, Detlef Lohse, “Regimes of bubble volume oscillations in a pipe”, The Journal of the Acoustical Society of America, 130:5 (2011), 3220
Citation in format AMSBIB
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