Liang Jinfu, Wang Xun, Yang Jing, Gong Lunxun
School of Physics and Electronic Science, Guizhou Normal University, Guiyang 550001, China.
The Key Laboratory of Modern Acoustics, Ministry of Education, Institution of Acoustics, Nanjing University, Nanjing 210093, China.
Ultrasonics. 2017 Mar;75:58-62. doi: 10.1016/j.ultras.2016.11.012. Epub 2016 Nov 22.
In this paper, we present and analyze a model of the oscillations of a pair of gas bubbles driven by nonspherical ultrasound. We derived our model based on the perturbation and potential flow theories and use it to study three cases of oscillation of two bubbles under driving ultrasound with different initial phases, different separation distances between the bubbles and different sound pressure amplitudes. For the driving ultrasound with different initial phases, we obtain the in-phase and anti-phase radial pulsations of the bubbles in incompressible liquid. We also study the effect of the secondary Bjerknes force on the oscillation of bubbles separated by different relative distances. Lastly, we analyze the ratio of a nonspherical to a spherical partial quantity, and the results show that the bubbles survive longer with decreases in both the pressure amplitude of nonspherical ultrasound and the initial bubbles radii.
在本文中，我们提出并分析了一个由非球形超声驱动的一对气泡振荡模型。我们基于微扰理论和势流理论推导了该模型，并用它来研究在不同初始相位、不同气泡间距和不同声压幅值的驱动超声作用下两个气泡的三种振荡情况。对于具有不同初始相位的驱动超声，我们得到了不可压缩液体中气泡的同相和反相径向脉动。我们还研究了次级 Bjerknes 力对不同相对距离分隔的气泡振荡的影响。最后，我们分析了非球形与球形部分量的比值，结果表明，随着非球形超声压力幅值和初始气泡半径的减小，气泡的存活时间更长。
