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声场驱动下双空化泡相互作用泡壁运动方程求解及分析

李浩 张宇宁

排灌机械工程学报2025,Vol.43Issue(6):580-587,611,9.
排灌机械工程学报2025,Vol.43Issue(6):580-587,611,9.DOI:10.3969/j.issn.1674-8530.23.0235

声场驱动下双空化泡相互作用泡壁运动方程求解及分析

Solution and analysis of dynamic equation of interacting cavitation bubbles under acoustic excitation

李浩 1张宇宁1

作者信息

  • 1. 华北电力大学电站能量传递转化与系统教育部重点实验室,北京 102206||华北电力大学能源动力与机械工程学院,北京 102206
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摘要

Abstract

In order to gain a profound understanding of the application principles of ultrasonic cavitation in fluid engineering,the interaction patterns and underlying mechanisms of dual cavitation bubbles under acoustic excitation were explored.Firstly,based on the Keller-Miksis equation describing the wall motion of single cavitation bubbles,the bubble wall motion equations of dual interacting cavi-tation bubbles in compressible fluid driven by an acoustic field were theoretically studied,and the sec-ond-order approximate solution was obtained by employing the small perturbation method.Secondly,by comparing the second-order approximate solution and the first-order approximate solution,the influences of the second-order term on the instantaneous bubble radius were revealed.Finally,the in-fluences of the sound field frequency and the dimensionless radius of the cavitation bubble on the sec-ond-order solution in the case of equal-sized double cavitation bubbles were analyzed.The results show that as the equilibrium bubble radius increases,two peaks appear in the amplitude of the second-order term,arising respectively from the natural frequency of the bubbles being close to twice and once the frequency of the sound field.This double-peak phenomenon accurately reflects the mutual attraction be-tween the dual bubbles in the acoustic field.Moreover,variations in the acoustic field frequency result in a significant shift of the double peaks and a slight increase in their amplitudes.As the dimensionless distance between the bubbles increases,the peaks slightly increase in amplitude and shift to the left,with the rate of the amplitude decrease accelerating after the second peak point.

关键词

相互作用空化泡/泡壁运动方程/瞬时空化泡半径/声场驱动/声场频率

Key words

interacting cavitation bubbles/bubble wall dynamic equation/instantaneous cavitation bubble radius/sound field drive/oscillation frequency

分类

物理学

引用本文复制引用

李浩,张宇宁..声场驱动下双空化泡相互作用泡壁运动方程求解及分析[J].排灌机械工程学报,2025,43(6):580-587,611,9.

基金项目

国家自然科学基金资助项目(51976056) (51976056)

排灌机械工程学报

OA北大核心

1674-8530

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