Oscillation behavior of bubble pair in magnetic fluid tube under magneto-acoustic complex field

Abstract

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 <i>F</i><sub>B</sub> and magnetic attraction <i>F</i><sub>m</sub>) 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 <i>F</i><sub>B</sub>, <i>F</i><sub>m</sub>, magnetic pressure <i>P</i><sub>m</sub> and viscosity resistance, and the influence degrees are different. There is competition between <i>F</i><sub>B</sub> and <i>F</i><sub>m</sub> and between <i>P</i><sub>m</sub> and 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.