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Matematicheskoe modelirovanie, 2011, Volume 23, Number 5, Pages 56–70 (Mi mm3109)  
This article is cited in 3 scientific papers (total in 3 papers)

Nonlinear radial oscillations and spatial translations of a nonspherical gas bubble in a liquid

A. A. Aganin, L. A. Kosolapova, V. G. Malakhov

Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences
Full-text PDF (733 kB) Citations (3)
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Abstract: A mathematical model of dynamics of a gas bubble in a liquid with non-small distortions of its spherical shape has been developed with allowing for the spatial translations of the bubble, influence of the gravitational force and the liquid velocity. The liquid viscosity and compressibility are taken into account approximately. It has been shown that in some particular cases the derived equations are coincident with those obtained by the other authors. Some results of solving the problem of oscillations of moving nonspherical bubble under periodic variation of the liquid pressure are presented.
Keywords: a nonspherical gas bubble, potential flow of fluid, nonlinear oscillations.
Received: 28.10.2010
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 1, Pages 26–35
DOI: https://doi.org/10.1134/S2070048212010024
Bibliographic databases:
Document Type: Article
UDC: 532.51+534.12
Language: Russian
Citation: A. A. Aganin, L. A. Kosolapova, V. G. Malakhov, “Nonlinear radial oscillations and spatial translations of a nonspherical gas bubble in a liquid”, Matem. Mod., 23:5 (2011), 56–70; Math. Models Comput. Simul., 4:1 (2012), 26–35
Citation in format AMSBIB
\Bibitem{AgaKosMal11}
\by A.~A.~Aganin, L.~A.~Kosolapova, V.~G.~Malakhov
\paper Nonlinear radial oscillations and spatial translations of a~nonspherical gas bubble in a~liquid
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 5
\pages 56--70
\mathnet{http://mi.mathnet.ru/mm3109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2866193}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 1
\pages 26--35
\crossref{https://doi.org/10.1134/S2070048212010024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928996962}
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  • https://www.mathnet.ru/eng/mm/v23/i5/p56
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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