Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Nigmatulin R.I., Ilgamov M.A., Aganin A.A. The problem of stability of the spherical shape of a bubble during its supercompression Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 19–37.

2010. Vol. 7. Issue 1, Pp. 19–37
URL: http://proc.uimech.org/uim2010.1.001
DOI: 10.21662/uim2010.1.001

The problem of stability of the spherical shape of a bubble during its supercompression

Nigmatulin R.I.^∗, Ilgamov M.A.^∗∗, Aganin A.A.^∗∗∗

^∗∗P.P. Shirshov Institute of Oceanology, Moscow
^∗∗Institute of Mechanics, Ufa
^∗∗∗Institute of Mechanics and Engineering, Kazan

Abstract

Deviation of the bubble shape from the spherical one during supercompression of a bubble in liquid is considered. The main attention is focused on determining the law of the initial bubble nonsphericity distribution in the spherical harmonics. The most probable one is that with the amplitude reducing as the harmonics number increases. Such distribution is confirmed by the analysis of the bubble sphericity perturbation evolution at the bubble collapse near a solid wall and at coalesce of two identical bubbles. The influence of the bubble sphericity distortion during bubble compression on the deformation of a shock wave arising in the bubble and the dependence of the bubble nonsphericity evolution on the nonlinear interaction between the distortions in the form of different harmonics are also discussed.