非线性波传播对惯性空泡稳定性的影响
The effects of nonlinear wave propagation on the stability of inertial cavitation
摘要：
在预测高强度聚焦超声中的温度场和压力场的背景下，预测模型的准确性对于治疗的安全性和有效性至关重要。在这样的领域中，惯性空化经常被观察到。传统上，空化阈值的估计是基于这样的假设，即气泡表面处的入射波与远场中的入射波相同，忽略了非线性波传播的影响。通过将入射波模拟为Burgers方程的解，采用数值和解析相结合的方法研究了非线性波传播对惯性空化的影响。从单个气泡的半径-时间曲线，可以观察到，有一个减少的最大尺寸的气泡进行惯性空化和惯性崩溃发生较早的对比与经典的情况。计算了初始半径略低于临界Blake半径的气泡的稳定性阈值。分岔图和频率响应曲线与稳定性的损失。结果的后果和物理意义进行了讨论相对于经典的结果。
英文摘要：
In the context of forecasting temperature and pressure fields in high-intensity focussed ultrasound, the accuracy of predictive models is critical for the safety and efficacy of treatment. In such fields inertial cavitation is often observed. Classically, estimations of cavitation thresholds have been based on the assumption that the incident wave at the surface of a bubble was the same as in the far-field, neglecting the effect of nonlinear wave propagation. By modelling the incident wave as a solution to Burgers' equation using weak shock theory, the effects of nonlinear wave propagation on inertial cavitation are investigated using both numerical and analytical techniques. From radius-time curves for a single bubble, it is observed that there is a reduction in the maximum size of a bubble undergoing inertial cavitation and that the inertial collapse occurs earlier in contrast with the classical case. Corresponding stability thresholds for a bubble whose initial radius is slightly below the critical Blake radius are calculated. Bifurcation diagrams and frequency-response curves are presented associated with the loss of stability. The consequences and physical implications of the results are discussed with respect to the classical results.
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