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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 5, Pages 66–70 (Mi vmumm4357)

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Gas-babble oscillations: resonance effects in nonviscous and Newton media

A. U. Sadrislamov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A linear mathematical model of forced oscillations of a gas bubble in viscous Newtonian fluid is developed in this paper. The natural frequency of oscillations of the gas bubble is found. A numerical analysis of the resonant effects of gas bubble oscillations within the media is carried out and a comparison of the obtained results with the existing classical ones for non-viscous media is discussed.

Key words: resonance, gas bubble, viscosity, nonlinear oscillations, natural frequency.

UDC: 539.3+531.53+532.23

Received: 15.05.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, 75:5, 147–151

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© Steklov Math. Inst. of RAS, 2026