Finite Element Analysis of Dynamic Behavior of Microbubble with Different Wall Shapes
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摘要: 为研究刚性平面、凸面和凹面附近的微泡动力学行为的差异，建立超声激励下3种刚性壁面附近微泡的有限元模型. 结果显示，刚性凹面附近的微泡形变较明显，易产生瞬态空化导致破裂. 同时，微泡具有偏离初始位置向壁面振荡靠近的动力学行为. 在声学参数以及距离壁面底部距离相等的情况下，近刚性凹面下的微泡重心振荡更剧烈，偏离初始位置距离最大，且凹面受到的压力较大，凸面受到的压力相对较小，壁面受到的压力与入射声压呈正相关，平面所受压力和附近微泡重心偏离程度介于凸面和凹面之间. 本模型可为靶向药物治疗等研究提供理论参考.Abstract: In order to study the difference in dynamic behavior of microbubble near rigid plane, convex and concave surfaces, a finite element model of three kinds of microbubble near rigid walls under ultrasonic excitation was established. Results show that the microbubble deformation near the rigid concave surface is more obvious, and it is easy to cause transient cavitation and rupture. At the same time, the microbubble has a dynamic behavior that was deviating from the initial position and oscillating toward the wall. When the acoustic parameters and the distance from the bottom of the wall are equal, the center of gravity of the microbubble under the nearly rigid concave surface oscillates more violently, and the deviation from the initial position is the largest. The pressure on the concave surface is relatively large, the pressure on the convex surface is relatively small, and the pressure on the wall surface is positively correlated with the incident sound pressure, and the deviation between the pressure on the plane and the center of gravity of the nearby microbubble is between the convex and concave surfaces. The proposed model can provide a theoretical reference for targeted drug therapy and other aspects.
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Key words:
- ultrasound /
- microbubble /
- rigid wall /
- finite element
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图 4 不同壁面下微泡半径的变化曲线
Figure 4. Radius change curves of microbubbles radius under different wall surfaces
图 5 不同壁面下微泡重心位置随时间的变化曲线
Figure 5. Chang carves of microbubbles center position with time under different walls
表 1 模型参数
Table 1. Parameters of geometry model
名称 参数 数值 气体多方指数 $\gamma $ 1.070 0 饱和蒸汽压 ${P_{\rm{v}}}$ / Pa 2 330 0 初始半径 ${R_0}$ / μm 2.000 0 气液表面张力系数 $\sigma $ / （N·m−1） 0.056 0 血液密度 $\rho $ / （kg·m−3） 1.059 0 血液动力黏度 $\mu $ / （Pa·s） 0.003 5 超声声压 ${P_{{\rm{in}}} }$ / MPa 0.100 0 超声频率 $f$ / MHz 1.000 0 初始血液压力 ${ {{p} }_0}$ / MPa 0.101 3 
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