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中国物理学会期刊

空化多泡中大气泡对小气泡空化效应的影响

CSTR: 32037.14.aps.68.20191198

Influence of large bubbles on cavitation effect of small bubbles in cavitation multi-bubbles

CSTR: 32037.14.aps.68.20191198
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  • 依据超声场下形成的空化多泡的形状结构, 建立了两种简化的多泡模型, 即三泡模型和五泡模型, 并利用考虑气泡之间相互作用和液体可压缩性的非线性Keller-Miksis方程, 数值研究了三泡和五泡模型中周围大气泡对中间小气泡空化效应的影响. 结果表明, 在适当条件下随着周围大气泡半径的逐渐增大, 中间小气泡会被完全抑制或会发生延迟膨胀现象. 延迟膨胀的小气泡崩溃时的泡内温度, 当周围大气泡数适当多时, 可以高于相同初始半径的单泡泡内温度. 大小气泡之间的次Bjerknes力在小气泡延迟膨胀时表现为先排斥后吸引, 而正常膨胀大小气泡之间的次Bjerknes力两次都是吸引力.

     

    In previous papers, researchers generally adopted a simplified assumption that there is a single type of bubble in liquid. In this paper, two simplified bubbles models are established based on the shape and structure of cavitation bubbles formed in ultrasonic field, i.e. linear model consisting of three bubbles and cluster model composed of five bubbles, and each model is assumed to consist of two types of bubbles. The influences of large bubbles on cavitation effect of small bubble in the middle for three- and five-bubble model are numerically studied by using the modified Keller-Miksis equation and van der Waals equation. The changes of the expansion radius of the small bubble in the middle, the temperature in the small bubble and the secondary Bjerknes force between large bubble and small bubble with the increase of the initial radius of large bubbles are mainly investigated. In the calculation, it is assumed that the locations of bubbles stay unchanged and the shape of bubbles remains spherical in the oscillation process. Meanwhile, the time-delay effect on the secondary Bjerknes force can be neglected because the sound wave speed is very fast in water and the bubbles in the liquid can oscillate synchronously. The calculation results show that the expansion of small bubble in the middle can be completely suppressed or delayed when the initial radius and the number of bubbles are appropriate on condition that the distance between large and small bubble, the driving sound pressure and frequency of the applied sound field stay unchanged. The main reason for delayed expansion is that the total pressure acting on small bubbles is delayed to form a negative pressure in the process of the change. The collapse time of delayed expansion of small bubble is basically the same as that of large bubbles, which makes small bubble collapsed rapidly and thoroughly under the strong radiative barotropic effect of large bubble's collapse, and leads the maximum temperature in the small bubble to be higher than that of the single bubble with the same initial radius and the small bubble with normal expansion. In addition, when the expansion of small bubble is delayed, the secondary Bjerknes force between the large bubble and the small bubble appears to be repulsive first and attractive then. This rule is different from the change rule of the secondary Bjerknes force between the two bubbles in normal expansion. The results in this paper have significant theoretical guidance for specific problems such as suppressing liquid cavitation or enhancing liquid cavitation effect by the manual injection of large bubbles.

     

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