Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Kosolapova L.A., Malakhov V.G. A refined model of nonlinear nonspherical oscillations of a gas bubble in liquid Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 5 (2007). 241–247.

2007. Vol. 5. Issue 1, Pp. 241–247
URL: http://proc.uimech.org/uim2007.1.029,en
DOI: 10.21662/uim2007.1.029

A refined model of nonlinear nonspherical oscillations of a gas bubble in liquid

Kosolapova L.A., Malakhov V.G.

Institute of Mechanics and Engineering, Kazan

Abstract

A mathematical model of nonlinear oscillations of a gas bubble in a liquid is proposed, in which the change of the bubble surface shape is represented as a series of spherical harmonics, and the equations are accurate up to the third order with respect to the distortion amplitudes of the bubble spherical shape. It is shown that the application of the refined model can lead to modes of oscillation that differ from those obtained using the second-order model.

Keywords

nonlinear oscillations,
two-phase environment,
mathematical modeling,
gas bubble,
potential flow