Bubble nonlinear dynamics and stimulated scattering process

Abstract

A complete understanding of the bubble dynamics is deemed necessary in order to achieve their full potential applications in industry and medicine. For this purpose it is first needed to expand our knowledge of a single bubble behavior under different possible conditions including the frequency and pressure variations of the sound field. In addition, stimulated scattering of sound on a bubble is a special effect in sound field, and its characteristics are associated with bubble oscillation mode. A bubble in liquid can be considered as a representative example of nonlinear dynamical system theory with its resonance, and its dynamics characteristics can be described by the Keller-Miksis equation. The nonlinear dynamics of an acoustically excited gas bubble in water is investigated by using theoretical and numerical analysis methods. Our results show its strongly nonlinear behavior with respect to the pressure amplitude and excitation frequency as the control parameters, and give an intuitive insight into stimulated sound scattering on a bubble. It is seen that the stimulated sound scattering is different from common dynamical behaviors, such as bifurcation and chaos, which is the result of the nonlinear resonance of a bubble under the excitation of a high amplitude acoustic sound wave essentially. The numerical analysis results show that the threshold of stimulated sound scattering is smaller than those of bifurcation and chaos in the common condition.

Dynamics of nonspherical bubble in compressible liquid under the coupling effect of ultrasound and electrostatic field

“…Hongray et al [9] , [10] provided a radial model for a spherical charged bubble and found that the charges distributed at the bubble interface were able to enhance the ultrasonic cavitation effect. In addition, various mathematical models were proposed to describe the oscillation of a spherical cavitation bubble in a compressible liquid [11] , [12] , [13] , [14] , [15] , [16] .…”

Inversion method of bubble size distribution based on acoustic nonlinear coefficient measurement*

“…Therefore, it is more accurate to use the nonlinear effects for the bubble distribution inversion. [16] Most of the studies of the nonlinear scattering cross-section method do not consider the influence of non-resonant bubbles, [18,19] or the transfer matrix with good condition number and good robustness cannot be obtained after the integral discretization, so the nonlinear inversion has not been widely used yet. [20][21][22] The contribution of this paper is that the nonlinear coefficients are selected as the basis of inversion based on the unique nonlinear acoustic effect of bubbles.…”

Theoretical analysis of interaction between a particle and an oscillating bubble driven by ultrasound waves in liquid

“…Many theoretical works have described the interaction between two or many gas bubbles in liquid. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] In the present work, the theoretical framework of the model of bubblebubble interaction [9] is applied to describe the interaction between a particle and an oscillating bubble driven by ultrasound waves in liquid. Both the particle and the bubble are free to translate.…”