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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 137–147
DOI: https://doi.org/10.15372/PMTF20190211 (Mi pmtf465) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stability of nonlinear oscillations of a spherical layer of an ideal fluid

V. K. Andreevab

a Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036, Russia
b Siberian Federal University, Krasnoyarsk
Full-text PDF (271 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20190211
Abstract: The nonstationary motion of a spherical layer of an ideal fluid is investigated taking into account the adiabatic distribution of gas pressure in the internal cavity. The existence of nonlinear oscillations of the layer is established, and their period is determined. It is shown that there is only one equilibrium state of the layer. Amplitude equations taking into account the action of capillary forces on the surfaces of the layer in a linear approximation are obtained and used to study the stability of nonlinear oscillations of the layer. The limiting cases of a spherical bubble and soap film are considered.
Keywords: ideal fluid, interface, nonlinear oscillations, small perturbations, stability.
Received: 02.10.2018
Revised: 02.10.2018
Accepted: 29.10.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 303–313
DOI: https://doi.org/10.1134/S0021894419020111
Bibliographic databases:
Document Type: Article
UDC: 532.5:529.5
Language: Russian
Citation: V. K. Andreev, “Stability of nonlinear oscillations of a spherical layer of an ideal fluid”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 137–147; J. Appl. Mech. Tech. Phys., 60:2 (2019), 303–313
Citation in format AMSBIB
\Bibitem{And19}
\by V.~K.~Andreev
\paper Stability of nonlinear oscillations of a spherical layer of an ideal fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 137--147
\mathnet{http://mi.mathnet.ru/pmtf465}
\crossref{https://doi.org/10.15372/PMTF20190211}
\elib{https://elibrary.ru/item.asp?id=37248716}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 303--313
\crossref{https://doi.org/10.1134/S0021894419020111}
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  • https://www.mathnet.ru/eng/pmtf/v60/i2/p137
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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