渐变截面热声波导管内的声流影响因素分析

通过理论分析和数值仿真,对渐变截面热声波导管内声流各影响因素进行了具体的分析,并给出了不同情形下波导管内的声流速度分布特性曲线。研究表明,热物理参数对渐变截面导致的声流变化无影响,针对具体的声场设计合适的截面变化形式可以使得管内声流在整体上得到一定程度的抑制或加强。此外,当波导管截面尺度与热穿透深度同数量级时,轴向时均温度分布对声流的影响十分显著。当不存在非零时均温度梯度时,热传导效应对声流的影响在管截面尺度为黏性穿透深度约10至20倍量级时最大。     

渐变截面热声波导管内的声流解析模型

建立了二维渐变截面热声波导管内的声流模型,分别考虑了封闭直管和环形回路两种不同结构,获得了更为普适的解析结果。封闭直管结构的声流结果可应用于任意宽度的波导管,环路结构的结果考虑了渐变截面管段宽度远大于热、黏穿透深度的情形。研究结果表明,渐变截面热声波导管内的声流主要受声场结构、截面变化及轴向时均温度分布的影响,在其它参量不变时声流量值及分布随波导管特征尺度的不同而变化。该解析模型可应用于热声及其它物理背景下的声流分析。     

Analytic model of acoustic streaming in thermoacoustic waveguides with slowly varying cross-section

An analytic model of acoustic streaming generated in two-dimensional thermoa-coustic waveguides with slowly varying cross-section was developed for more general applications. The analytical solutions of acoustic streaming characteristics in the closed straight tube and the annular tube are given based on the model.The solution for the closed straight tube can be applied to the case with any transverse scale.The solution for the annular tube is obtained under the assumption that the width of the varying cross-section part is much larger than the viscous and thermal penetration depths.The effects of cross-section variation,time-averaged temperature distribution and components of sound field are reflected in the analytic solutions. The magnitude and distribution of acoustic streaming velocity vary with the characteristic scale of the waveguides.The analytic model of acoustic streaming can be applied in research under thermoacoustic and other physical backgrounds.     

An acoustic streaming instability in thermoacoustic devices utilizing jet pumps

Thermoacoustic-Stirling hybrid engines and feedback pulse tube refrigerators can utilize jet pumps to suppress streaming that would otherwise cause large heat leaks and reduced efficiency. It is desirable to use jet pumps to suppress streaming because they do not introduce moving parts such as bellows or membranes. In most cases, this form of streaming suppression works reliably. However, in some cases, the streaming suppression has been found to be unstable. Using a simple model of the acoustics in the regenerators and jet pumps of these devices, a stability criterion is derived that predicts when jet pumps can reliably suppress streaming.     

Diffraction focusing of acoustic fields in oceanic waveguides smoothly varying along the track

With the use of adiabatic and WKB approximations for the mode representation of an acoustic field excited by a tone source in an oceanic waveguide smoothly varying along the track, dependences of the characteristic spatial scales of the phenomenon of diffraction focusing are obtained. Conditions that should be satisfied for the formation of zones of diffraction focusing of the acoustic field in such a waveguide are formulated.     

Parametric analysis of oscillations with slowly varying frequency

We propose an algorithm for estimating the parameters of a signal from its quasiharmonic representation and a method for estimation of slowly varying coefficients of a second-order differential equation. The considered approach uses Tikhonov’s regularization for the class of slowly varying functions. The results of statistical modeling for the Mathieu equation are presented. Solution of the frequency comparison problem on the example of estimation of the frequency instability of a quartz resonator setting a signal sampling rate is considered. Relations for determining the sampling rate are obtained and the results of numerical simulation are reported.     

热声发动机接入声学放大器的模拟研究

对带声学放大器的驻波型热声发动机进行了数值模拟。得出了系统频率、压比等参数随声学放大器尺寸的变化关系。     

Higher harmonic generation in nonlinear waveguides of arbitrary cross-section

This article concerns the generation and properties of double harmonics in nonlinear isotropic waveguides of complex cross-section. Analytical solutions of nonlinear Rayleigh-Lamb waves and rod waves have been known for some time. These solutions explain the phenomenon of cumulative double harmonic generation of guided waves. These solutions, however, are only applicable to simple geometries. This paper combines the general approach of the analytical solutions with semi-analytical finite element models to generalize the method to more complex geometries, specifically waveguides with arbitrary cross-sections. Supporting comparisons with analytical solutions are presented for simple cases. This is followed by the study of the case of a rail track. One reason for studying nonlinear guided waves in rails is the potential measurement of thermal stresses in welded rail.     

Statistical energy analysis of inhomogeneous systems with slowly varying properties

This paper is concerned with the analysis of high frequency vibrations of inhomogeneous systems with slowly varying properties subjected to harmonic excitation. A formula for the spatial scaling of the vibrational energy density of such systems is derived and is used to predict the mean and the variance of their vibrational energy response. The derivations are based on the assumption that waves propagate with negligible partial reflections in the systems, which holds when the relative variation of the properties of the systems is small over a wavelength of vibration. To validate the theoretical findings, numerical simulations of two plate systems are performed: a plate with a linearly varying thickness and a plate with a thickness bump.     

任意截面介质波导导模的叠代矩量法分析

本文提出用以计算任意截面介质波导色散关系的叠代矩量法,并给出用叠代矩量法计算椭圆介质波导、三角形波导、平切圆波导、蛋形截面波导等的传播特性的实例.计算结果与有限元法、点匹配法等精确数值计算结果符合很好.本方法简便易行,计算工作量较小.     

Quantitative investigation of acoustic streaming in blood

Acoustic streaming may have practical utility in diagnostic medical ultrasound in distinguishing between stagnant blood and tissue as well as clotted and unclotted blood. This distinction can be difficult with conventional ultrasound but have high value in managing trauma patients with internal hemorrhage. Ultrasound energy applies a force to blood by momentum transfer, resulting in bulk streaming that is a function of the acoustic attenuation, sound speed, acoustic intensity, blood viscosity, and the boundary conditions posed by the geometry around the hematoma. A simple tubular model was studied analytically, by finite element simulation, and experimentally by in vitro measurement. The simulation agreed closely with measurements while the analytic solutions were found to be valid only for beam diameters approximating the diameter of the tubular channel. Experimentally, the acoustic streaming in blood decreased as the blood began to clot and the streaming flow was not detected in clotted blood. In contrast, the echogenicity of the same blood samples did not change appreciably from the unclotted to the clotted state for the stagnant blood studied. Streaming detection appears to offer a potential tool for improving hemorrhage diagnosis.     

谐振管形状对热声发动机内非线性声场的影响

研究了谐振管一端受活塞声源激励,另一端刚性封闭条件下,管道形状对热声发动机谐振管内部非线性声场的影响。基于流体力学基本方程建立了渐变截面谐振管内一维非线性声场的模型,考虑了黏性耗散及非线性效应的影响。利用伽辽金法数值求解了该模型的速度势方程,分析了谐振管形状、活塞振动速度及激励频率对管内声场的影响。将双曲形、指数形、锥形、正弦形等四种变截面谐振管内的非线性声场与圆柱形直管的情况进行了比较。结果反映了谐振管内声场的压力波动受活塞振动速度及谐振管形状的影响;显示了当活塞振动幅度较大时,谐振管内出现的波形畸变、频率曲线偏移、共振频率滞后等非线性现象;揭示了变截面谐振管在抑制管内的高阶谐波及提高压比等方面的优越性。     

Influence of resonator shape on nonlinear acoustic field in a thermoacoustic engine

The influence of the resonator shape on nonlinear acoustic field in a thermoacoustic engine is studied.The resonator of themoacoustic engine is boundary driving by a piston at one end,and the other end of it is rigid closed.A one-dimensional wave equation that accounts for gas dynamic nonlinearities and viscous dissipation in the resonator is established based on the governing equations of viscous hydromechanics.The nonlinear wave equation is solved using approximate Galerkin method.The nonlinear acoustic field in four different types of shaped resonators including hyperbolical,exponential,conical and sinusoidal are obtained and compared with that of a cylindrical resonator.It is found that the amplitude and waveform of the pressure are strongly affected by the resonator shape,the driving amplitude and the oscillation frequency of the piston.Waveform distortion,resonance frequency shift and hysteresis are observed,when the piston oscillation amplitude is large enough.The advantages of shaped resonator for thermoacoustic engine lie in inhibition of higher order harmonics and improvement of pressure ratio,etc.     

黎开管非线热声效应的研究

基于能量守恒原理对Rijke管热声效应展开了理论分析,采用内外流场耦合法数值模拟了Rijke管自激励起振和饱和过程的声场特性,并开展了相应的实验研究.推导了Rijke管起振、饱和及高次谐波产生过程中的能量变化,分析了Rijke管非线性效应包括高次谐波和波形畸变的影响因素,提出了改变管口声阻抗可弱化非线性效应的方法.结果...     

Ion acoustic solitons in a streaming relativistic plasma with negative ions

We analyze the effect of a nonzero streaming velocity of both positive and negative ions on the formation of solitary waves in a relativistic plasma. The thermodynamic situation is considered to be isothermal. For various values ofu _0/C andn _o/nowe obtain the variations of the amplitude and the width of the solitary wave.     

Ultrasonic surface acoustic wave-assisted separation of microscale droplets with varying acoustic impedance

In droplet-based microfluidic platforms, precise separation of microscale droplets of different chemical composition is increasingly necessary for high-throughput combinatorial chemistry in drug discovery and screening assays. A variety of droplet sorting methods have been proposed, in which droplets of the same kind are translocated. However, there has been relatively less effort in developing techniques to separate the uniform-sized droplets of different chemical composition. Most of the previous droplet sorting or separation techniques either rely on the droplet size for the separation marker or adopt on-demand application of a force field for the droplet sorting or separation. The existing droplet microfluidic separation techniques based on the in-droplet chemical composition are still in infancy because of the technical difficulties. In this study, we propose an acoustofluidic method to simultaneously separate microscale droplets of the same volume and dissimilar acoustic impedance using ultrasonic surface acoustic wave (SAW)-induced acoustic radiation force (ARF). For extensive investigation on the SAW-induced ARF acting on both cylindrical and spherical droplets, we first performed a set of the droplet sorting experiments under varying conditions of acoustic impedance of the dispersed phase fluid, droplet velocity, and wave amplitude. Moreover, for elucidation of the underlying physics, a new dimensionless number AR_D was introduced, which was defined as the ratio of the ARF to the drag force acting on the droplets. The experimental results were comparatively analyzed by using a ray acoustics approach and found to be in good agreement with the theoretical estimation. Based on the findings, we successfully demonstrated the simultaneous separation of uniform-sized droplets of the different acoustic impedance under continuous application of the acoustic field in a label-free and detection-free manner. Insomuch as on-chip, precise separation of multiple kinds of droplets is critical in many droplet microfluidic applications, the proposed acoustofluidic approach will provide new prospects for microscale droplet separation.