中文摘要：

将非线性声波方程和改进的Rayleigh-Plesset方程联立可以描述空化环境中的声场及相应的气泡动力学特征.用时域有限差分方法模拟了圆柱形容器内两种气泡相互混合时的空化情况.在烧杯内的稳态背景声场形成过程中,瓶壁耗散吸收扮演了重要的角色.在稳态背景声场的基础上,分析了混合气泡与声场的相互作用、气泡之间的相互作用、混合情况下的频谱特性.结果表明：两种气泡平衡半径都不太大时,气泡与声场的相互作用不强,声场及气泡的行为也比较规律;相反,当其中一种气泡平衡半径相对比较大时,声场与气泡具有较强的非线性相互作用,声场及气泡的行为表现出复杂的特性.

英文摘要：

By solving the nonlinear wave equation coupled with the modified Rayleigh-Plesset equation,the characteristics of the acoustic field and bubble motion in cavitation environment can be described.In general,the cavitation cloud consists of many kinds of bubbles with different ambient radii.For simplicity,in this work the cavitation process of the mixture of two kinds of bubbles with different ambient radii is numerically simulated,and the ratio of the mixture is adjustable.Suppose that the cavitation in water contained in a cylindrical container is stimulated by ultrasonic horn.The dissipative absorption of the container wall is taken into account,which plays an important role in forming the stationary standing wave field,otherwise,the beat signal of acoustic pressure will appear which is absent in the observation.Based on the stationary acoustic wave field,for the case of the mixed-bubble cavitation,the interactions between bubbles and acoustic field,bubbles and bubbles,as well as the spectrum of acoustic signal are analyzed.We choose the cases that the ratio of two kinds of bubble species is varying,but the total density of bubble number is fixed to be 1/mm~3,and find that those results are very different.For the case that the ambient radii of two bubble species are both a few micron,revealing that the interaction between bubbles and acoustic field is usually weak.As the proportion of bigger bubble increases,the change of the acoustic pressure and the averaged radius of bubble behave regularly;for the case that the ambient radius of one of bubble specie is relatively big,for example,the ambient radius is about a few tens of microns,the interactions between bubbles and acoustic field become stronger,and the nonlinearity is more apparent.We can observe the similar trends from the frequency spectrum.For the bubble of a few microns in size,the base frequency is dominant;in contrast,for the bubble of a few tens of microns in size,the components of harmonic frequencies are far beyond the base frequency component.The in