Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Volkova E.V., Nasibullaeva E.Sh. Nonlinear Oscillations of a Spherically Symmetric Single Bubble in an Acoustic Field Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 8 (2011). 45–53.

2011. Vol. 8. Issue 1, Pp. 45–53
URL: http://proc.uimech.org/uim2011.1.004,en
DOI: 10.21662/uim2011.1.004

Nonlinear Oscillations of a Spherically Symmetric Single Bubble in an Acoustic Field

Volkova E.V.^∗,∗∗, Nasibullaeva E.Sh.^∗,∗∗

^∗Institute of Mechanics, Ufa
^∗∗Center for Micro and Nanoscale Dynamics of Dispersed Systems, Bashkir State University, Ufa

Abstract

In the present paper the dynamics of a single gas bubble under the influence of an acoustic field is studied, taking mass transfer through the moving bubble wall into account. Mass transfer is calculated separately in the diffusion problem. Due to changes in the pressure inside the bubble caused by oscillations of its volume, the concentration of the gas dissolved in the liquid undergoes oscillations of large amplitude near the bubble boundary. To eliminate the computational problems associated with the moving boundary, the convection-diffusion equations describing the transport of a gas dissolved in a liquid are written in Lagrangian coordinates.