次Bjerknes力作用下气泡的体积振动和散射声场

利用Lagrange方程得到了次Bjerknes力作用下气泡的体积振动方程,并探讨了次Bjerknes力作用下不同参数对气泡体积振动振幅和振动初相位的影响,研究了振动初相位差为π和0的气泡对在液体中形成的散射声场特征.结果表明:次Bjerknes作用力下,相邻气泡半径、气泡间距、多方指数均能影响气泡的体积振动振幅,气泡对的均衡半径、气泡间距和驱动频率则对气泡振动初相位产生明显影响;相距很近、相位相差为π的两个气泡的散射声压与气泡体积振动振幅、气泡间距、驱动频率和振动初相位有关,随声场距离成反比减小,与声场位置有关,其平均散射声功率是单个孤立气泡的1/6(kd_(12))~2半径相同、相距很近、相位相同的两个6气泡的散射声压与气泡振动初相位、体积振动振幅、气泡间距、驱动频率有关,随声场距离成反比减小,其平均散射声功率是单个孤立气泡的4倍.     

非球形效应对强声场中次Bjerknes力的影响

考虑了非球形气泡在声场中的形状振动,推导了非球形气泡和球形气泡之间的次Bjerknes力方程,数值模拟了声场中非球形气泡和球形气泡之间的次Bjerknes力和两个球形气泡之间的次Bjerknes力,并对非球形气泡和球形气泡之间的次Bjerknes力的影响因素进行了分析讨论.研究结果表明:当驱动声压振幅大于非球形气泡的Black阈值且又能使得非球形气泡稳定振动时,在第一个声驱动周期内,非球形气泡和球形气泡之间的次Bjerknes力和两个球形气泡的次Bjerknes力方向差异较大,在大小上是两个球形气泡次Bjerkens力的数倍,且有着更长的作用距离.非球形气泡和球形气泡之间的次Bjerknes力取决于非球形气泡的形状模态、两个气泡初始半径的比值、驱动声压振幅、气泡间距和两个气泡的相对位置.     

超声场中气泡融合的影响因素分析

采用高速摄影机对不同声压和频率作用下接触气泡的融合时间进行了实验研究,运用实验和数值计算相结合的方法分析了次Bjerknes力和最大径向振动速度对气泡融合时间的影响,结果表明在不同的超声声压和频率作用下,气泡的融合时间会随着次Bjerknes力和最大径向振动速度的增大而增大,对两个因素进行对比分析得到次Bjerknes力是影响气泡融合的关键因素。      

空化场中大气泡对空化泡振动的抑制效应分析

为探究空化场中多气泡之间的相互作用,结合观察到的注入大气泡周围飞舞的小气泡的实验现象,构建了由两个大气泡和一个空化泡组成的三气泡系统,通过考虑气泡间相互作用的时间延迟效应以及大泡的非球形振动,得到修正的气泡动力学方程组,并数值分析了气泡的振动模态、平衡半径、声波压力与频率等参量对小空化气泡的振动行为与所受次级Bjerknes力的影响.结果表明,大气泡的非球形效应主要表现为一种近场效应,对空化泡的振动影响很小,几乎可以忽略不计.大气泡可抑制空化泡的振动,但当大气泡半径接近于共振半径时,空化泡振动幅值曲线出现共振峰,即存在耦合共振响应.大气泡半径越大,对空化泡抑制作用越强,当空化泡处在两个毫米级大气泡附近时抑制更加显著.声波压力与频率不仅直接影响气泡的振动,还影响空化泡与大气泡之间相互作用的强弱,表现为空化泡所受的次级Bjerknes力在特定的大气泡半径范围内变得对气泡尺寸变化较为敏感,即小的大气泡半径变化可能导致明显的力大小变化,且不同驱动频率下,空化泡所受次级Bjerknes力的敏感半径分布区间不同.空化泡受到的次级Bjerknes力在距离较小或者较大时均可能表现为斥力,与实验观察现象...     

声波激励下管路轴向分布双气泡动力学特性分析

针对基于声学理论的管道气泡检测技术面临的声波作用下的气泡相互作用机理问题,本文基于自由气泡Rayleigh-Plesset模型,通过引入次Bjerknes辐射力,构建能够考虑管道轴向气泡分布的可压缩性双气泡动力学模型.利用四阶龙格库塔方法开展数值计算,对比分析了不同激励声波频率与幅度作用下自由气泡与双气泡模型引起的气泡动力学特征的区别.同时对比了液体可压缩与不可压缩假设引起的气泡动力幅频响应的区别,表明可压缩假设下的次Bjerknes辐射力引起气泡发生受迫振动,不改变气泡的线性共振特征;而不可压缩假设引起气泡间发生强耦合,从而改变气泡系统的线性共振特征.气泡距离直接影响次Bjerknes辐射力大小,导致气泡动力学趋向于非线性振动,与线性振动的频谱特征差别明显.气泡轴向位置的变化引起外界激励声波的变化,从而改变气泡的初始振动特征.初始特征的差异与次Bjerknes辐射力发生耦合作用,影响气泡动力学特征,甚至发生非线性振动.研究表明,小气泡在共振的情况下,与次Bjerknes辐射力发生耦合作用,使得双气泡系统更容易趋向于非线性特征;而大气泡则能够较好地保持线性共振状态.     

方波驱动下双气泡的动力学行为*

探索方波驱动下双气泡的脉动规律,能够促进方波在声空化工程中的实际应用。本文通过数值求解双气泡耦合方程组,研究了方波驱动下双气泡的动力学行为,得到了多种条件下不同时刻两个气泡半径的数值,并以此计算出气泡间的次Bjerknes力。研究表明,增大驱动频率会使得两个气泡膨胀时能达到的最大半径和次Bjerknes力减小。当两个气泡的平衡半径不同时,其中一个气泡的剧烈收缩会使得另一个气泡产生一个振动方向相反的声脉冲。随着两个气泡平衡半径差距的增加,气泡收缩的时间间隔增大。此外,当驱动声压幅值逐渐增大时,气泡脉动规律也会发生很大的变化。     

两个等径蛋白质气泡在Bingham流体中振动特性

利用黏弹性膜构成的蛋白质气泡有限变形方程,并考虑一个气泡在Bingham流体中振动产生的Bjerknes力对另一个气泡振动特性的影响,建立了两个等径蛋白质气泡在Bingham流体中振动的非线性方程.利用数值计算方法求解该方程,结果表明,增加Bingham流体的塑性黏度,蛋白质气泡振幅衰减速度加快,振动周期增加,频率减小;当两个气泡间的距离减小时,气泡振动频率会增加,振幅衰减速度加快;初始半径小的气泡振动频率高,振幅衰减快,而且振动的频率和振幅衰减的速率越大;与单个气泡相比,两个蛋白质气泡在Bingham流体中振动时,振动具有更高的振动频率,而且振幅衰减速度更快.     

基于高速摄影的烟火药水下燃烧喷口气泡与噪声研究

为分析烟火药水下燃烧的现象及声辐射特性,采用高速摄影技术,对烟火药水下燃烧喷口处的气泡进行了实验研究。在此基础上根据高速摄影的系列图像估计了气泡体积,通过对气泡体积的曲线进行拟合后再求二阶导数获得了其变化的加速度,基于脉动体积源点声源公式,计算了喷口噪声的声压。结果表明由于界面的Bjerknes力和浮力的作用,气泡主要呈现一种扁球体;烟火药水下燃烧喷口噪声的声压最高达到了177.1 Pa。     

不同管口浸没方式下气泡运动特性实验研究

为了对比研究不同管口浸没方式下气泡的运动特性,通过可视化实验揭示了顶部、侧部和底部三种管口浸没方式下的气泡上升运动过程,得到了气泡形状、等效直径、位移、速度以及高宽比的变化规律,通过获得相邻气泡质心间垂直距离定量表征了气泡在上升过程中的紊乱程度。研究结果表明,顶部管口浸没方式下的气泡形态明显区别于侧部和底部管口浸没方式,其气泡高宽比变化相对较稳定;随着进气流量的增大,气泡间的碰撞几率逐渐增大,其运动紊乱程度加强;气泡上升呈现出直线形、折线形和螺旋形运动轨迹;折线形运动轨迹下的气泡水平位移、气泡速度随上升高度的增加均呈现出较为明显的周期性波动;直线形轨迹下的气泡水平位移以侧部浸没方式下为最大;折线形运动轨迹下的气泡水平速度变化幅度以顶部浸没方式下为最大;螺旋形运动轨迹下的气泡垂直速度变化以底部浸没方式下最为剧烈。     

相同尺度下气泡与复杂壁面的耦合特性研究

采用格子Boltzmann方法(LBM)建立了气液固三相耦合的动力学模型,研究了相同尺度下上浮气泡与复杂壁面的相互耦合作用.首先,基于黏性流体理论,通过构建一组格子Boltzmann(LB)方程来描述气液两相的运动,并以LB离散体积力的形式计入了黏性力、表面张力和重力.同时,采用LBM中的Half-way反弹模型与有限差分格式相结合的方式进行固壁边界的处理.然后,利用本文建立的模型,对不同特征尺寸比条件下,气泡与考虑边缘效应的平面固壁和曲面固壁的耦合特性进行了研究.研究发现固壁边界条件以及特征尺寸比对气泡的运动和拓扑结构的变化都具有明显的非线性影响.最后,研究了流体属性对气泡与复杂壁面耦合规律的影响.     

Circular motion of submillimeter-sized acoustic bubbles attached to a boundary by high-speed image analysis

The circular motion of submillimeter-sized bubbles attached to a boundary in an 18.5 kHz ultrasonic field are investigated experimentally by high-speed photography and image analysis. It is found that the vibration of gas bubbles with diameters of 0.2–0.4 mm is between spherical radial vibration and regular surface fluctuation. Different from the circular motion of suspended bubbles in water, the circular motion of gas bubbles attached to a boundary presents some new characteristics. These bubbles attached to a boundary (wandering bubbles) will rotate around a fixed bubble array (holding bubbles). Both the wondering bubbles and holding bubbles are “degas” bubbles. The primary Bjerknes force acting on wandering bubbles in the acoustic wave field and the secondary Bjerknes force between the wandering bubbles and the holding bubbles strongly affects the circular motion. The circling and residence behavior of gas bubbles is described and analyzed in detail, which is helpful to understand and improve industrial applications such as ultrasonic cleaning, sonochemical treatment, aeration and cavitation reduction.     

Collective bubble dynamics near a surface in a weak acoustic standing wave field

The transport of bubbles to a neighboring surface is very important in surface chemistry, bioengineering, and ultrasonic cleaning, etc. This paper proposes a multi-bubble transport method by using an acoustic standing wave field and establishes a model that explains the multi-bubble translation by expressing the balance between Bjerknes forces and hydrodynamic forces on a bubble in a liquid medium. Results indicated that the influence of primary Bjerknes force, secondary Bjerknes force, and buoyancy force on the bubble translation depends on the position of the target bubble in the acoustic field. Moreover, it was found that increasing the size of a bubble or pressure amplitude can accelerate the bubble motion and enhance the bubble-bubble interaction. The secondary Bjerknes force between two bubbles can switch from an attractive one when they oscillate in phase to a repulsive one when the bubble oscillations are out of phase. These findings provide an insight into the multi-bubble translation near a surface and can be applied to future bubble motion control studies, especially in drug delivery, sonoporation, and ultrasonic cleaning.     

Influence of bubble clustering on multibubble sonoluminescence

Influence of clustering of cavitation bubbles on multibubble sonoluminescence (MBSL) in standing wave fields is studied through measurement of MBSL intensity with a photomultiplier tube and observation of corresponding bubble behavior with a high-speed video camera and an intensified charge-coupled device one. It is clarified that, when the SL is quenched suddenly at excessive ultrasonic power, the behavior of bubbles clearly changes; the bubbles which form dendritic branches of filaments change into clusters due to the secondary Bjerknes force. The cluster is composed of several bubbles surrounded by many tiny bubbles, in which bubbles repeatedly coalesce and fragment, and run away from pressure antinodes. When the clusters are broken up by forced fluid motion, the quenching of MBSL is suppressed.     

Numerical simulations of stable cavitation bubble generation and primary Bjerknes forces in a three-dimensional nonlinear phased array focused ultrasound field

We present a model developed for studying the generation of stable cavitation bubbles and their motion in a three-dimensional volume of liquid with axial symmetry under the effect of finite-amplitude phased array focused ultrasound. The density of bubbles per unit volume is determined by a nonlinear law which is a threshold-dependent function of the negative acoustic pressure reached in the liquid, in which nuclei are initially distributed. The nonlinear mutual interaction of ultrasound and bubble oscillations is modeled by a nonlinear coupled differential system formed by the wave and a Rayleigh-Plesset equations, for which both the pressure and the bubble oscillation variables are unknown. The system, which accounts for nonlinearity, dispersion, and attenuation due to the bubbles, is solved by numerical approximations. The nonlinear acoustic pressure field is then used to evaluate the primary Bjerknes force field and to predict the subsequent motion of bubbles. In order to illustrate the procedure, a medium-high and a low ultrasonic frequency configurations are assumed. Simulation results show where bubbles are generated, the nonlinear effects they have on ultrasound, and where they are relocated. Despite many physical restrictions and thanks to its particularities (two nonlinear coupled fields, bubble generation, bubble motion), the numerical model used in this work gives results that show qualitative coherence with data observed experimentally in the framework of stable cavitation and suggest their usefulness in some application contexts.     

Dependence of the characteristics of bubbles on types of sonochemical reactors

Computer simulations of bubble oscillations in liquid water irradiated by an ultrasonic wave have revealed that the characteristic of bubbles depends on types of sonochemical reactors: a horn-type reactor and a standing-wave type reactor. When the acoustic amplitude is large at 20 kHz, the bubble content is mostly water vapor even at the end of the bubble collapse and the temperature inside a bubble at the collapse is relatively low. On the other hand, when the acoustic amplitude is relatively low, the bubble content is mostly noncondensable gas at the end of the bubble collapse and the bubble temperature is relatively high. In a horn-type sonochemical reactor, the former type of bubbles are dominant because many bubbles exist near the horn-tip where the acoustic amplitude is large, while in a standing-wave type reactor the latter type of bubbles are dominant because the Bjerknes force gathers bubbles at a region where acoustic amplitude is relatively low.     

Experimental investigation on reversal of secondary Bjerknes force between two bubbles in ultrasonic standing wave

The direction of the secondary Bjerknes force between a free bubble and an attached bubble was experimentally investigated. The behavior of the two bubbles in an ultrasonic standing wave of 27 kHz was observed using an imaging system with a high-speed video camera. It was demonstrated experimentally that the direction of the force reversed at a specific separation distance between the two bubbles, which was defined as the threshold distance. The threshold distance changed with the radius of the attached bubble. In addition, a theoretical calculation was performed using a previously derived model that coupled the vibrations of two free bubbles [Ida, Phys. Lett. A 297, 210-217 (2002)]. The experiment data for the threshold distance qualitatively agreed with the theoretical predictions, except when the separation distance was very small. Then, it was discovered that the free bubble became trapped near the attached bubble when the separation distance between the two bubbles was very small. This indicated that a stable equilibrium point for the separation distance exists that cannot be predicted by the theoretical model.     

耦合双泡声空化特性的理论研究

当双泡中心间距足够小时,由于气泡间辐射压力波的存在,作用在气泡上的压力不等于外部驱动压力.通过考虑双泡之间的辐射压力波,利用改进的Keller-Miksis方程,分别计算了不同大小、不同间距、含不同惰性气体的双泡在声空化过程中半径的变化、次Bjerknes力的变化和双泡内温度的变化.计算结果表明,当双泡大小不同时,小气泡受到的抑制作用较强,温度变化也比较大.随着双泡间距离从100μm增大到1 cm时,气泡间的次Bjerknes力的数量级从10~(-4)N减小到10~(-8)N.含不同惰性气体的耦合双泡在回弹阶段表现出明显不同的振荡规律.