摘要
为了深入理解超声空化在流体工程领域中的应用原理,探究了声场驱动下双空化泡的相互作用规律及影响机理.首先,基于描述单空化泡泡壁运动的Keller-Miksis方程,理论研究了在声场驱动下可压缩流体中双空化泡相互作用的泡壁运动方程组,并采用小扰动法得到了其二阶近似解.其次,通过对比二阶近似解和一阶近似解,揭示了二阶项对空化泡瞬时半径的影响规律.最后,分析了等大双空化泡情况下声场频率和空化泡量纲一距离对二阶解的影响规律.结果表明,随着空化泡平衡半径的增大,二阶项振幅出现了2个峰值,分别是由于空化泡的自然频率接近声场频率的2倍和1倍产生的.该双峰值能够真实反映双空化泡在声场中相互吸引的作用情况,且声场频率的改变使双峰值发生了明显偏移,并使峰值略微增加.随着空化泡量纲一距离的增加,峰值略微增大且左移,并在第2个峰值点后振幅下降的速率增大.
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 des cribing the wall motion of single cavitation bubbles,the bubble wall motion equations of dual interacting cavitation bubbles in compressible fluid driven by an acoustic field were theoretically studied,and the second-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 influences of the sound field frequency and the dimensionless radius of the cavitation bubble on the second-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 between 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.
作者
李浩
张宇宁
LI Hao;ZHANG Yuning(Key Laboratory of Power Station Energy Transfer Conversion and System(Ministry of Education),North China Electric Power University,Beijing 102206,China;School of Energy,Power and Mechanical Engineering,North China Electric Power University,Beijing 102206,China)
出处
《排灌机械工程学报》
北大核心
2025年第6期580-587,611,共9页
Journal of Drainage and Irrigation Machinery Engineering
基金
国家自然科学基金资助项目(51976056)。
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
interacting cavitation bubbles
bubble wall dynamic equation
instantaneous cavitationbubble radius
sound field drive
oscillation frequency
