通过流作用下穿孔板的声阻抗

穿孔元件在进排气消声器中广泛使用,气体流动对穿孔元件声阻抗具有较大的影响。为了获得更加精确的穿孔声阻抗模型,使用三维时域CFD方法计算通过流作用下穿孔的声阻抗。探究了通过流作用下穿孔声阻抗的获取方法,并且将无量纲小孔声阻抗的预测值与已发表的实验测量值进行了对比,两者吻合较好。分析了小孔中的通过流马赫数M_o (0.05~0.20)、穿孔的分布形式、小孔的直径d_h (2~5 mm),穿孔板的厚度t (0.8~2 mm)和穿孔率φ(4.51%~24.93%)对无量纲声阻抗的影响规律,并且通过不同参数的非线性回归分析得到了通过流作用下声阻抗的模型。作为工程计算的应用,利用Jing&Sun的声阻抗模型和本文声阻抗模型计算了横流式穿孔管消声器的传递损失,与实验测量结果比较表明,本文模型具有较高的准确性。     

Spectral analysis of the flow sound interaction at a bias flow liner

The interaction between the flow field and the sound field is responsible for the sound absorption at perforated acoustic liners with bias flow and has to be investigated contactlessly. Based on the optically measured flow velocity spectrum, an energy analysis was performed. As a result, the generation of broadband flow velocity fluctuations in the shear layer surrounding the bias flow caused by the flow sound interaction has been observed. In addition, the magnitude of this acoustically induced flow velocity oscillation exhibits a correlation with the acoustic dissipation coefficient of the bias flow liner. This supports the assumption that an energy transfer between the flow field and the sound field is responsible for the acoustic damping.     

A note on the interaction of unsteady flow with an acoustic liner

The effects of a mean grazing flow on the energy exchanges involved in the interaction of a bias-flow acoustic liner with, respectively, incident sound and boundary layer turbulence are contrasted. The analysis of model problems which make use of a line vortex to simulate large scale, unsteady boundary layer structures indicates that, whereas acoustic waves may be effectively attenuated, dissipation caused by “jetting” in the apertures of the liner can result in a net transfer of energy from the mean flow to the turbulence in the boundary layer.     

Acoustic modeling of perforated plates with bias flow for Large-Eddy Simulations

The study of the acoustic effect of perforated plates by Large-Eddy Simulations is reported. The ability of compressible Large-Eddy Simulations to provide data on the flow around a perforated plate and the associated acoustic damping is demonstrated. In particular, assumptions of existing models of the acoustic effect of perforated plate are assessed thanks to the Large-Eddy Simulations results. The question of modeling the effect of perforated plates is then addressed in the context of thermo-acoustic instabilities of gas turbine combustion chambers. Details are provided about the implementation, validation and application of a homogeneous boundary condition modeling the acoustic effect of perforated plates for compressible Large-Eddy Simulations of the flow in combustions chambers cooled by full-coverage film cooling.     

一种以涡声理论为基础的声衬的实验研究与分析

本文对一种新型声衬一通气声衬的声学特性进行了实验研究。首先,根据实验装置的实际结构给出了通气声衬反射系数的理论计算公式,并使用不同孔径和穿孔率的穿孔板考察了通气声衬的特性参数随频率和气流速度的变化规律,理论与实验符合得较好,其结果表明:适当地选择声衬的几何参数和气流速度可以使通气声衬在共振频率处的吸声系数达到或接近于1.0。其次,本文对共振式声衬和通气声衬的特性进行了比较,对于大孔径穿孔板,前者的吸收频带较窄,而通过合理选择通气速度,则可以设计出高吸声系数和宽频带的通气声衬。最后,本文还对相同几何参数的穿孔板进行了吹气和吸气的对比实验。     

Acoustic-excited vortex shedding and acoustic nonlinearity at a rectangular slit with bias flow

The acoustical response of a slit with a mean bias flow is numerically studied. By means of a potential flow model based on the discrete vortex method and a spanwise-averaged three-dimensional Green?s function, both unsteady vortical flow and slit impedance are obtained in a unified theoretical framework. The numerical simulation focuses on the acoustic-excited vortex structures of the slit flow while neglecting the viscous damping effect. Three representative flow features are demonstrated, which are the destabilized jet flow, the rolling up of vortex sheets and formation of vortex pairs, and the reversal flow with alternating vortex shedding on both sides of the slit. These features are corresponding to low, moderate, and high sound amplitude, respectively. The acoustic behavior of the slit can be divided into linear, transition, and nonlinear regimes. During its evolution through the three regimes, the resistance exhibits a constant value, a slight decrease, and a significant increase with the increasing sound amplitude. Correspondingly, the reactance first remains constant and then shows a modest decrease as the sound amplitude increases. The nonlinear effect also causes the gradual decrease of the mean bias velocity in company with the marked increase of the amplitude of the fluctuating velocity in the slit. The mean bias velocity decreases to about 80 percent of its linear value at the transition point where reversal flow begins to occur, and further decreases to only 10 percent in the highly nonlinear region. The slit impedance is also presented as a function of frequency and for different aspect ratios. And the effects of frequency and slit geometry are discussed.     

Reduction of acoustic radiation by impedance control with a perforated absorber system

A model of sound radiation from an infinite plate with an absorptive facing is proposed and investigated theoretically from the viewpoint of acoustic power. Acoustic characteristics on the plate surface are represented by impedance derived from iso-absorption curves. A parametric study is carried out to clarify the effect of the impedance on the acoustic power. Results derived from this model show that acoustic radiation depends on change in impedance as well as the absorption coefficient, and there is a possibility of reducing the radiation from vibrating surface by introducing an appropriate impedance surface. In order to realize this effect, a model using a perforated board with a back cavity attached to the vibrating surface is proposed, in which the motion of the perforated board is made equal to that of the vibrating surface. To obtain fundamental data, a theoretical study is performed under a simplified condition, assuming an infinite plane piston. The calculated results are compared to experimental data measured by using an acoustic tube. The results, which are in good agreement in the reduction effect, show that this system can achieve the reduction of radiated sound power at arbitrary frequencies.     

The acoustic impedance of perforated plates under various flow conditions relating to combustion chamber liners

The absorption of sound by cavities lined with perforated sheets depends crucially on the impedance of the orifices in the sheets. Although the theory for that absorption in the absence of a mean flow was well-developed in 1926, the presence of either a ‘bias’ flow through the orifices, or of a flow ‘grazing’ the sheet and deflecting the acoustic jets, radically alters the absorption. There are many theoretical and experimental treatments of the various cases, some of which are reviewed here. However, there has been little attempt to show how these data relate to one another, and this is also undertaken. The frequency dependence of the impedance is here expressed in terms of a Helmholtz number and used as the prime parameter for comparison. Theories for the cases where the mean flow is negligible are naturally based on the viscous penetration depth, whereas those for bias flow have a Strouhal number as the main parameter and are independent of viscosity. It is found that there are major uncertainties in the impedance for higher Strouhal numbers, when the bias flow is small. A criterion for transition to the no-bias flow theory is proposed. Theories and correlations for grazing flow rationally feature a Strouhal number based on the friction velocity in the duct, since this determines the boundary layer characteristics, but there should be a smooth transition to the case where the grazing flow can be considered negligible. Criteria for this are also proposed, based on the available experimental data. When both types of flow are present, particularly when the grazing velocity is larger than the bias velocity, the available data are very limited.     

穿孔板的声学厚度修正

使用有限元法计算穿孔板的声学厚度修正系数,研究穿孔率、穿孔板厚度、孔径和穿孔排列形式对声学厚度的影响,获得了穿孔率低于40%的穿孔板的声学厚度修正系数。计算结果表明:穿孔板厚度、孔径和排列形式对声学厚度的影响不大;穿孔率对声学厚度影响很大。基于数值计算结果给出了声学厚度修正系数的近似表达式,利用由该表达式形成的穿孔声阻抗公式计算了穿孔管消声器的传递损失,计算结果与实验结果吻合良好,从而验证了应用该表达式预测穿孔管消声器消声性能的准确性。     

Analytical modeling of squeeze-film damping for perforated circular microplates

Predicting squeeze-film damping due to the air gap between the vibrating microstructure and a fixed substrate is crucial in the design of microelectromechanical system (MEMS). The amount of squeeze-film damping can be controlled by providing perforations in microstructures. In the past, to include perforation effects in squeeze-film damping calculations, many analytical models have been proposed. However, only the rectangular perforated microplates are considered in the previous works. There is lack of works that model the squeeze-film damping of circular perforated microplates. In fact, the circular perforated microplates are also common elements in MEMS devices.     

掠过流作用下穿孔板的声阻抗

应用三维时域数值方法研究掠过流对穿孔板声阻抗的影响。建立了掠过流作用下穿孔板声阻抗计算的计算流体动力学(CFD)模型,通过时域计算得到掠过流作用下穿孔板的声阻抗,分析结构参数和掠过流马赫数对穿孔板声阻抗的影响。根据计算结果拟合掠过流作用下穿孔板声阻抗的近似表达式,利用获得的穿孔声阻抗新公式预测穿孔管消声器的传递损失,数值预测和实验结果吻合良好。计算结果表明,掠过流对穿孔板的声阻抗和穿孔管消声器的消声性能有明显影响。     

Suppression of Helmholtz resonance using inside acoustic liner

When a Helmholtz resonator is exposed to grazing flow, an unstable shear layer at the opening can cause the occurrence of acoustic resonance under appropriate conditions. In this paper, in order to suppress the flow-induced resonance, the effects of inside acoustic liners placed on the side wall or the bottom of a Helmholtz resonator are investigated. Based on the one-dimensional sound propagation theory, the time domain impedance model of a Helmholtz resonator with inside acoustic liner is derived, and then combined with a discrete vortex model the resonant behavior of the resonator under grazing flow is simulated. Besides, an experiment is conducted to validate the present model, showing significant reduction of the peak sound pressure level achieved by the use of the side-wall liners. And the simulation results match reasonably well with the experimental data. The present results reveal that the inside acoustic liner can not only absorb the resonant sound pressure, but also suppress the fluctuation motion of the shear layer over the opening of the resonator. In all, the impact of the acoustic liners is to dampen the instability of the flow-acoustic coupled system. This demonstrates that it is a convenient and effective method for suppressing Helmholtz resonance by using inside acoustic liner.     

Landau damping of dust acoustic waves in the plasma with nonextensive distribution

The Landau damping of dust acoustic waves propagating in a dusty plasma composed of nonextensive distributed electrons and ions, and Maxwellian distributed dust grains is investigated based on kinetic theory. The dust acoustic waves are found in the range of k_vd?ω?k_vi?k_ve$k{v}_d?\omega ?k{v}_i?k{v}_e$, where _vα$v_{\alpha }$ is the thermal velocity of species α(=i,e,d)$\alpha (=i,e,d)$. The damping rate is shown to be dependent on the nonextensivity parameter q$q$ as well as the ratio of ion density to electron. In the limit q→1$q\to 1$, the result based on the Maxwellian distribution is recovered. The maximum Landau damping rate is found to be enhanced as the population of the electron density decreases.     

Experimental validation of numerical simulations for an acoustic liner in grazing flow: Self-noise and added drag

A coordinated experimental and numerical simulation effort is carried out to improve our understanding of the physics of acoustic liners in a grazing flow as well our computational aeroacoustics (CAA) method prediction capability. A numerical simulation code based on advanced CAA methods is developed. In a parallel effort, experiments are performed using the Grazing Flow Impedance Tube at the NASA Langley Research Center. In the experiment, a liner is installed in the upper wall of a rectangular flow duct with a 2 in. by 2.5 in. cross section. Spatial distribution of sound pressure levels and relative phases are measured on the wall opposite the liner in the presence of a Mach 0.3 grazing flow. The computer code is validated by comparing computed results with experimental measurements. Good agreements are found. The numerical simulation code is then used to investigate the physical properties of the acoustic liner. It is shown that an acoustic liner can produce self-noise in the presence of a grazing flow and that a feedback acoustic resonance mechanism is responsible for the generation of this liner self-noise. In addition, the same mechanism also creates additional liner drag. An estimate, based on numerical simulation data, indicates that for a resonant liner with a 10 percent open area ratio, the drag increase would be about 4 percent of the turbulent boundary layer drag over a flat wall.