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首页> 外文期刊>Electronic Journal Technical Acoustics >Simulations of the Devin and Zudin modified Rayleigh-Plesset equations to model bubble dynamics in a tube
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Simulations of the Devin and Zudin modified Rayleigh-Plesset equations to model bubble dynamics in a tube

机译：Devin和Zudin修正的Rayleigh-Plesset方程的模拟，以模拟管道中的气泡动力学

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摘要

Micron-sized bubbles are used as contrast agents in biomedical ultrasound. While free bubbles are modeled using the Rayleigh-Plesset equation, their dynamics in tubes or vessels are not as well understood. In this paper, the dynamics of a microbubble in a cylindrical tube are simulated by two modified Rayleigh-Plesset equations: one derived by Y. B. Zudin in 1991 but not simulated, and another developed by C. Devin in 1961 but not expressed explicitly. The expressions are manipulated to a common form and shown to be nearly identical. The results of the simulations are compared to each other and various analytical models, as well as to experimental results. Both models show decreased resonant frequency and oscillation amplitude with decreasing tube radius. Agreement is found with established theories and limited experimental results. Thus, the equations may provide an effective tool for simulating bubble behavior in rigid tubes.
机译：微米大小的气泡在生物医学超声中用作造影剂。尽管使用Rayleigh-Plesset方程对自由气泡进行建模，但人们对它们在管或容器中的动力学知之甚少。在本文中，圆柱管中微气泡的动力学是通过两个修正的Rayleigh-Plesset方程模拟的：一个是由Y. B. Zudin于1991年推导而未模拟的，另一个是由C. Devin于1961年提出但未明确表达的。这些表达式被操纵为一种通用形式，并显示为几乎相同。仿真结果相互比较，并与各种分析模型以及实验结果进行比较。两种模型均显示出随着管半径减小，谐振频率和振荡幅度减小。已找到与既定的理论和有限的实验结果一致的结果。因此，这些方程式可以提供一种有效的工具来模拟刚性管中的气泡行为。

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