Nonlinear dynamics of gas bubbles in viscoelastic media

Xinmai Yang, C. Church
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引用次数: 30

Abstract

Understanding the behavior of cavitation bubbles driven by ultrasonic fields is an important problem in biomedical acoustics. The Keller–Miksis equation for nonlinear bubble dynamics is combined with the Voigt model for viscoelastic media. Using experimentally determined values, the effects of elasticity on bubble oscillations are studied. Inertial cavitation thresholds are determined using Rmax/R0=2, and subharmonic emissions are also estimated. The elasticity increases the threshold pressure for inertial cavitation, and subharmonic signals are significant only in a certain region of radii and driving pressures at a given frequency. These results should prove useful in cavitation detection and bubble-enhanced imaging work.
粘弹性介质中气泡的非线性动力学
了解超声场驱动下的空化气泡的行为是生物医学声学中的一个重要问题。将非线性气泡动力学的Keller-Miksis方程与粘弹性介质的Voigt模型相结合。利用实验确定的数值,研究了弹性对气泡振荡的影响。利用Rmax/R0=2确定了惯性空化阈值,并估计了次谐波发射。这种弹性增加了惯性空化的阈值压力,并且只有在一定的半径范围内和给定频率的驱动压力下,次谐波信号才显著。这些结果将在空化探测和气泡增强成像工作中证明是有用的。
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