包膜黏弹特性及声驱动参数对相互作用微泡动力学行为的影响

关于多气泡相互作用的理论研究对于深入理解超声造影剂在医疗领域中的应用机理具有重要意义。本工作建立了一个2维轴对称有限元模型来研究流体环境中超声造影剂双气泡相互作用,讨论了驱动超声频率和气泡尺寸对气泡之间吸引和排斥趋势的影响,得到了气泡半径与气泡之间距离随时间变化的曲线,以及气泡周围流体速度场的细节,并且研究了气泡包膜参数(即表面张力系数和粘度系数)对气泡相互作用的影响.结果表明,相互作用中的气泡对整体的相对运动趋势由驱动频率和共振频率之间的关系决定;在超声参数固定时,气泡包膜的粘弹特性可用来调控气泡间相互作用强度。结果对实验中观察到的气泡聚集现象进行了合理解释,并为超声造影剂在医疗实践中的应用提供了基础理论支撑.     

弹性管中泡群内气泡的非线性声响应

将弹性管壁视为膜弹性结构,得到了管径较大弹性管中泡群内气泡弱非线性振动的动力学模型.利用逐级近似法对气泡的非线性共振频率、基频振动响应特性进行了理论分析.结果表明:气泡共振频率主要受泡群内气泡间相互作用的影响;气泡的非线性共振频率将发生偏移,其偏移量取决于共振响应振幅;气泡的声响应区存在最大频率值;在声响应的高频率区内声响应幅值有多值性.     

光电倍增管在磷酸液声致发光实验中的应用

对不同厚度液体进行光强测量,深入探索空化气泡的运动,研究发光机理很有意义。用超声激励法在磷酸液体中实现多泡声致发光,研究不同共振频率下发光的特点。利用光电倍增管多次测量发光强度相互比较,结果是在液体厚度10 cm、驱动频率f=21.061kHz和f=20.316kHz时,周期性较好为50μs,液体通过漩涡集中气泡可以使更多气泡发光;在液体厚度3 mm、驱动频率f=17.91kHz和f=19kHz时,周期性很好为25μs;且光信号都较强。结论是磷酸中声致发光强度、周期与液体厚度、驱动频率密切相关。本文以磷酸液多泡声致发光实验研究为基础,从内部和外部原理来出发,详细介绍了光电倍增管在多泡声致发光光强测量中的实用,为今后研究者提供了一些经验。根据实验过程中遇到的一些实际问题提出了建议和改善意见。     

弹性介质包围的球形液体腔中气泡和粒子的相互作用

为探究外层弹性介质对液体腔内气泡和粒子相互作用的影响,从速度势分布理论出发,结合拉格朗日方程得到了腔内气泡和粒子的运动方程,分析了气泡的共振频率及声波作用下粒子和气泡间的相互作用对其平动行为的影响.结果表明,介质弹性和密度等特性均可改变腔内气泡的共振频率,表现为气泡的共振频率随着球腔的半径增大有先减小后增大的变化趋势,且逐渐趋于无界液体中单泡的共振频率.气泡和粒子在球形液体腔中的平动受到声场参数、外层弹性介质特性、气泡和粒子本身特征等因素的影响,总体特征表现为粒子有向腔壁运动的趋势,气泡的平动与气泡和粒子间相互作用特征密切相关.     

声波在含气泡液体中传播特性及产热效应*

该文对含气泡液体中的声波方程采用线性分析方法,研究了超声波在含气泡液体中的传播特性以及产热效应。当声波在含气泡液体中传播时,气泡的存在会影响声波的传播,在声波频率接近气泡共振频率的频段内,声信号在液体中传播时剧烈衰减,而在声波频率远远高于或低于气泡共振频率时,声波的传播基本不受影响。在接近气泡共振的频段内,声波耗散的能量最终转化为热能。同时液体中的气泡会在声波驱动下径向振动并辐射声波,伴随气泡壁在液体中的粘滞振动,热量随之产生。结果表明,两种产热机制分别在不同频段起主导作用。     

气泡线性振动对含气泡水饱和多孔介质声传播的影响

为了研究孔隙水含少量气泡时多孔介质中波的传播,本文在Biot模型的基础上,将孔隙水中气泡的体积振动融合到多孔介质的孔隙流体渗流连续性方程中,从而得到了考虑气泡体积振动的孔隙流体渗流连续性方程.在此基础上,根据气泡线性振动下气泡瞬时半径和介质背景压力的关系,以及多孔介质运动方程和流体介质运动方程,导出了受气泡影响下多孔介质位移矢量波动方程,建立了非水饱和多孔介质声速频散和衰减预报模型.气泡的存在增大了孔隙水的压缩率,导致含气泡水饱和多孔介质声速的降低.当声波频率等于气泡的共振频率时,在声波激励下,介质呈现高频散,且孔隙水中的气泡产生共振,吸收截面达到最大,使得多孔介质的声衰减也达到最大.文中数值分析验证了上述结论,表明了气泡含量、大小和驱动声场频率是影响声波在含少量气泡的水饱和多孔介质中传播的主要因素.     

双泡模型共振频率的超声空化动力学研究

该研究旨在研究双泡模型的自然共振频率对超声空化的影响,通过理论计算研究了自然共振频率的影响因素,以及单频超声和双频超声与自然共振频率的关系。研究结果表明：气泡初始半径是影响自然共振频率的主要因素;低频驱动下的非线性波动程度会比高频的更加剧烈,当驱动频率等于气泡自然共振频率时,超声空化的效果更好;双频超声取气泡自然共振频率时超声空化效果远远优于单频超声驱动。该研究在超声医学和理解超声空化特性方面有着重要的意义。     

极性晶体膜中束缚磁极化子的声子平均数与回旋共振频率的关系

采用改进的线性组合算符法和幺正变换方法,研究极性晶体膜中束缚磁极化子的声子平均数与回旋共振频率 的变化关系。得出束缚磁极化子的声子平均数由两部分组成：第一部分是由于电子—体LO声子相互作用所引起的;第二部分则是电子－SO声子相互作用引起的。而且当 时,声子平均数随着回旋共振频率 的增加而迅速增加,这主要是由于磁场的加入使电子声子的相互作用增强而引起的。     

磁场对非对称量子点中弱耦合极化子的相互作用能的影响

采用改进的线性组合算符和幺正变换相结合的方法,研究磁场、量子点的横向和纵向有效受限长度和电子-声子耦合强度对非对称量子点中弱耦合磁极化子的振动频率和相互作用能的影响.导出了振动频率和相互作用能随量子点的横向和纵向有效受限长度、电子-声子耦合强度和磁场的回旋共振频率的变化关系.数值计算结果表明:振动频率和相互作用能随量子点的横向和纵向有效受限长度的减小而迅速增大,随磁场的回旋共振频率的增加而增大,相互作用能随电子-声子耦合强度的减小而呈线性的增大.     

自由空间内悬挂气泡破碎时的声学特性*

气泡破碎是自然界和工、农业生产中常见的现象。气泡在破碎过程中因气流流动而产生强烈的扰动,导致破碎时产生强烈的气动声学。该文采用实验和理论相结合的方式对自由空间内悬挂气泡破碎时的声学特性进行了研究。研究发现：随着液体表面张力系数的增加,声发射的特征振幅逐渐增大;随着气泡半径的增加,声发射的特征振幅逐渐增大。理论计算结果与实验结果基本吻合。     

声波在含气泡液体中的线性传播

为了探讨含气泡液体对声波传播的影响, 研究了声波在含气泡液体中的线性传播. 在建立含气泡液体的声学模型时引入气泡含量的影响,建立气泡模型时引用 Keller的气泡振动模型并同时考虑气泡间的声相互作用,得到了经过修正的气泡振动方程. 通过对含气泡液体的声传播方程和气泡振动方程联立并线性化求解,在满足 (ω R₀)/c << 1 的前提下,得到了描述含气泡液体对声波传播的衰减系数和传播速度. 通过数值分析发现,在驱动声场频率一定的情况下,气泡含量的增加及气泡的变小均会导致衰减系数增加和声速减小;气泡的体积分数和大小一定时, 驱动声场频率在远小于气泡谐振频率的情况下,声速会随驱动频率的增加而减小; 气泡间的声相互作用对声波传播速度及含气泡液体衰减系数的影响不明显.最终认为气泡的大小、 数量和驱动声场频率是影响声波在含气泡液体中线性传播的主要因素. 关键词： 含气泡液体 线性声波 声衰减系数 声速     

The acoustic emissions of cavitation bubbles in stretched vortices

Pairs of unequal strength, counter-rotating vortices were produced in order to examine the inception, dynamics, and acoustic emission of cavitation bubbles in rapidly stretching vortices. The acoustic signatures of these cavitation bubbles were characterized during their inception, growth, and collapse. Growing and collapsing bubbles often produced a sharp, broadband, pop sound. The spectrum of these bubbles, and the peak resonant frequency can generally be related to quiescent flow bubble dynamics and corresponding resonant frequencies. However, some elongated cavitation bubbles produced a short tonal burst, or chirp, with frequencies on the order of a few kilohertz. Theses frequencies are too low to be related to resonant frequencies of a bubble in a quiescent flow. Instead, the frequency content of the acoustic signal during bubble inception and growth is related to the volumetric oscillations of the bubble while it interacted with vortical flow that surrounds the bubble (i.e., the resonant frequency of the vortex-bubble system). A relationship was determined between the observed peak frequency of the oscillations, the highly stretched vortex properties, and the water nuclei content. It was found that different cavitation spectra could relate to different flow and fluid properties and therefore would not scale in the same manner.     

Low frequency resonant dispersion of sound in bubble media

Presented is a theory of a new type of resonant dispersion of sound in a gas-liquid bubble media based on the use of effective dynamic density. We show that because of spheroidal-translational oscillations of the bubbles the dynamic density of the gas-liquid media has a resonance dependence on the frequency, which is manifested in wave process as a low-frequency resonant dispersion of sound. This dispersion is significantly different from the known high-frequency resonant dispersion, which is due to resonance in the volume oscillations of the bubbles. The results of the experiments confirming the existence of the resonant dispersion of sound at a frequency equal to half the natural frequency of the spheroidal oscillations of bubbles are provided.     

Oscillating bubble concentration and its size distribution using acoustic emission spectra

New method has been proposed for the estimation of size and number density distribution of oscillating bubbles in a sonochemical reactor using acoustic emission spectra measurements. Bubble size distribution has been determined using Minnaert's equation [M. Minnaert, On musical air bubbles and sound of running water, Philanthr. Mag. 16 (1933) 235], i.e., size of oscillating bubble is inversely related to the frequency of its volume oscillations. Decomposition of the pressure signal measured by the hydrophone in frequency domain of FFT spectrum and then inverse FFT reconstruction of the signal at each frequency level has been carried out to get the information about each of the bubble/cavity oscillation event. The number mean radius of the bubble size is calculated to be in the range of 50-80mum and it was not found to vary much with the spatial distribution of acoustic field strength of the ultrasound processor used in the work. However, the number density of the oscillating bubbles and the nature of the distribution were found to vary in different horizontal planes away from the driving transducer surface in the ultrasonic bath. A separate set of experiments on erosion assessment studies were carried out using a thin aluminium foil, revealing a phenomena of active region of oscillating bubbles at antinodal points of the stationary waves, identical to the information provided by the acoustic emission spectra at the same location in the ultrasonic bath.     

声驻波场中空化泡的动力学特性

以水为工作介质, 考虑了液体的可压缩性, 研究了驻波声场中空化泡的运动特性, 模拟了驻波场中各位置处空化泡的运动状态以及相关参数对各位置处空化泡在主Bjerknes力作用下运动方向的影响. 结果表明: 驻波声场中, 空化泡的运动状态分为三个区域, 即在声压波腹附近空化泡做稳态空化, 在偏离波腹处空化泡做瞬态空化, 在声压波节附近, 空化泡在主Bjerknes 力作用下, 一直向声压波节处移动, 显示不发生空化现象; 驻波场中声压幅值增加有利于空化的发生, 但声压幅值增加到一定上限时, 压力波腹区域将排斥空化泡, 并驱赶空化泡向压力波节移动, 不利于空化现象的发生; 当声频率小于初始空化泡的共振频率时, 声频率越高, 由于主Bjerknes 力的作用将有更多的空化泡向声压波节移动, 不利于空化的发生, 尤其是驻波场液面的高度不应是声波波长的1/4; 当声频率一定时, 空化泡初始半径越大越有利于空化现象的发生, 但当空化泡的初始半径超过声频率的共振半径时, 由于主Bjerknes力的作用将有更多的空化泡向声压波节移动, 不利于空化的发生.     

Measurements of frequency spectra of transmission coefficients to ultrasound through trapped microbubbles

Techniques which use hydrophobic polycarbonate thin sheets containing randomly spaced, fairly uniform small pores immersed in water to trap air bubbles have been found to be useful in biophysical experiments. The utilization of broadband polyvinylidene fluoride transducers in this work made it possible to measure a continuous frequency spectrum of the transmission coefficient of the trapped bubbles. The results of the measurements show: (1) the frequency response curve of the bubble ensemble is much broader than that of a single bubble predicted by theory; and (2) as the incident sound pressure at a micropore membrane increases from 110 to 660 Pa the resonance frequency of bubbles shifts to lower values by as much as 7%.     

粘弹包膜气泡的声散射特性

在线性条件下研究了单个粘弹包膜气泡的声散射特性,并用WT散射法求解了造影剂的多气泡散射特性。首先建立了超声造影剂中单个粘弹包膜气泡的声散射物理模型,结合包膜内外声波方程和边界条件解得散射矩阵,并得到散射系数。通过数值计算用简化散射截面积曲线来表征单个气泡的声散射特性,用声色散曲线和衰减系数曲线来表征气泡的集总散射特性。研究结果表明:增加包膜的弹性参数μ_e的值,不仅使得气泡共振频率增高,还使气泡散射共振峰值相应加大;增加包膜的粘性参数μ_v的值,将使得散射的共振峰值降低;气泡的另两个参数λ_e和λ_v对散射特性几乎没有影响。     

A two-frequency acoustic technique for bubble resonant oscillation studies

A two-frequency acoustic apparatus has been developed to study the dynamics of a single gas or vapor bubble in water. An advantage of the apparatus is its capability of trapping a bubble by an ultrasonic standing wave while independently driving it into oscillations by a second lower frequency acoustic wave. For a preliminary application, the apparatus is used to study resonant oscillations. First, near-resonant coupling between the volume and the n = 3 shape oscillation modes of air bubbles at room temperature is studied, where n is the mode number. The stability boundary, amplitude versus frequency, of the volume oscillation forms a wedge centered at the resonant frequency, which qualitatively agrees with a theoretical prediction based on a phase-space analysis. Next, the resonant volume oscillations of vapor bubbles are studied. The resonant radius of vapor bubbles at 80 degrees C driven at 1682 Hz is determined to be 0.7 mm, in agreement with a prediction obtained by numerical simulation.     

利用声衰减反演气泡群分布的方法研究

通过测量含气泡水的声衰减反演气泡群参数是获取水中气泡分布的重要方法,但是经典方法忽略了较高浓度气泡水中的强频散特性和气泡振动参数的改变,导致反演较高浓度气泡群分布时会产生巨大误差.为解决这个问题,本文基于等效媒质理论建立起了声衰减和相速度的联系,并考虑了含气泡水平均量对气泡阻尼系数和共振频率的影响.在此基础上,通过将反...     

Bubbles in an acoustic field: an overview

Acoustic cavitation is the fundamental process responsible for the initiation of most of the sonochemical reactions in liquids. Acoustic cavitation originates from the interaction between sound waves and bubbles. In an acoustic field, bubbles can undergo growth by rectified diffusion, bubble-bubble coalescence, bubble dissolution or bubble collapse leading to the generation of primary radicals and other secondary chemical reactions. Surface active solutes have been used in association with a number of experimental techniques in order to isolate and understand these activities. A strobe technique has been used for monitoring the growth of a single bubble by rectified diffusion. Multibubble sonoluminescence has been used for monitoring the growth of the bubbles as well as coalescence between bubbles. The extent of bubble coalescence has also been monitored using a newly developed capillary technique. An overview of the various experimental results has been presented in order to highlight the complexities involved in acoustic cavitation processes, which on the other hand arise from a simple, mechanical interaction between sound waves and bubbles.