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基于磁流体管内单泡的动力学模型, 通过引入泡间次级声辐射并考虑磁流体黏度的磁场效应, 建立了管内“泡对”系统在磁声复合场中的动力学方程, 分析了磁场强度、泡对尺寸、泡间相互作用(包括次级Bjerknes力 F B和磁吸引力 F m)及流体特性等对双泡振动特性的影响. 结果表明, 磁场增大了泡对的振幅, 对大泡的影响远大于对小泡的影响. 当两泡中心间距一定、两泡相对尺寸越大时, 或是当两泡尺寸一定、两泡表面间距越小时, 双泡之间的相互作用越强. 磁声复合场中, 磁场会影响 F B, F m, 磁压 P m及黏滞阻力等, 且影响程度各不相同; F B和 F m及 P m和黏滞阻力之间均存在竞争关系, 与作用在微泡上的所有力共同影响泡的运动. 通过研究“泡对”系统的动力学行为, 为实际应用中调节磁声场, 提高微泡对生物组织的靶向调控治疗效果提供了一定的理论依据.Based on the dynamic model of a single bubble in a magnetic fluid tube, the dynamic equation of a bubble pair system in a magneto-acoustic field is established by introducing the secondary sound radiation between bubbles and considering the magnetic field effect of the viscosity of the magnetic fluid. The effects of magnetic field intensity, bubble pair’s size, bubble interaction (including secondary Bjerknes force F Band magnetic attraction F m) and fluid characteristics on the vibration characteristics of double bubbles are analyzed. The results show that magnetic field increases the amplitude of bubbles, and the influence of magnetic field on the large bubble is greater than on the small bubble. When the center distance between the two bubbles is constant and the relative size of two bubbles is larger, or when the size of the two bubbles is constant and the surface distance between two bubbles is small, the interaction between two bubbles is stronger. In the magneto-acoustic composite field, magnetic field can affect F B, F m, magnetic pressure P mand viscosity resistance, and the influence degrees are different. There is competition between F Band F mand between P mand viscosity resistance, and the forces acting on the microbubble jointly affect the movement of the bubbles. By studying the dynamic behavior of paired bubbles, it can provide a theoretical basis for improving the therapeutic effect of targeted regulation of microbubbles on biological tissues by adjusting the magneto-acoustic field in practical application.
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Keywords:
- bubble pair/
- magnetofluid/
- rigid tube/
- dynamic behavior
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