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Mathematical Models and Computer Simulations

, Volume 4, Issue 1, pp 26–35 | Cite as

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

  • A. A. Aganin
  • L. A. Kosolapova
  • V. G. Malakhov
Article

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, as well as the 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 a moving nonspherical bubble under periodic variation of liquid pressure are presented.

Keywords

a nonspherical gas bubble potential flow of fluid nonlinear oscillations 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • A. A. Aganin
    • 1
  • L. A. Kosolapova
    • 1
  • V. G. Malakhov
    • 1
  1. 1.Institute of Mechanics and Engineering, Kazan Science CenterRussian Academy of SciencesKazanRussia

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