Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Aganin A.A., Davletshin A.I., Malakhov V.G. Interaction of spherical gas bubbles in liquid Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 5 (2007). 66–72.

2007. Vol. 5. Issue 1, Pp. 66–72
URL: http://proc.uimech.org/uim2007.1.003
DOI: 10.21662/uim2007.1.003

Interaction of spherical gas bubbles in liquid

Aganin A.A.^∗, Davletshin A.I.^∗, Malakhov V.G.^∗∗

^∗Institute of Mechanics and Engineering, Kazan
^∗∗Tatar State Humanitarian Teacher's Training University, Kazan

Abstract

A mathematical model of interaction of two spherical gas bubbles in liquid is proposed. This model is a system of ordinary differential equations of the second order in the radii of bubbles and the spatial positions of their centers. It differs from the analogues known in the literature in that it allows much smaller distances between interacting bubbles.

Keywords

equations of fluid dynamics,
interaction of bubbles,
potential motion