Experimental source characterization techniques for studying the acoustic properties of perforates under high level acoustic excitation

This paper discusses experimental techniques for obtaining the acoustic properties of in-duct samples with non-linear acoustic characteristic. The methods developed are intended both for studies of non-linear energy transfer to higher harmonics for samples only accessible from one side such as wall treatment in aircraft engine ducts or automotive exhaust systems and for samples accessible from both sides such as perforates or other top sheets. When harmonic sound waves are incident on the sample nonlinear energy transfer results in sound generation at higher harmonics at the sample (perforate) surface. The idea is that these sources can be characterized using linear system identification techniques similar to one-port or two-port techniques which are traditionally used for obtaining source data for in-duct sources such as IC-engines or fans. The starting point will be so called polyharmonic distortion modeling which is used for characterization of nonlinear properties of microwave systems. It will be shown how acoustic source data models can be expressed using this theory. Source models of different complexity are developed and experimentally tested. The results of the experimental tests show that these techniques can give results which are useful for understanding non-linear energy transfer to higher harmonics.     

A hybrid approach for aeroacoustic analysis of the engine exhaust system

This paper presents a new hybrid approach for prediction of noise radiation from engine exhaust systems. It couples the time domain analysis of the engine and the frequency domain analysis of the muffler, and has the advantages of both. In this approach, cylinder/cavity is analyzed in the time domain to calculate the exhaust mass flux history at the exhaust valve by means of the method of characteristics, avoiding the tedious procedure of interpolation at every mesh point and solving a number of equations simultaneously at every junction. This is done by making use of an interrelationship between progressive wave variables of the linear acoustic theory and those of the method of characteristics. In this approach, nonlinear propagation in the exhaust pipe is neglected and free expansion is assumed at the radiation end of the exhaust pipe. In the case of a muffler proper, expansion from the exhaust pipe into the first chamber is assumed to be a free expansion. Various results of this approach are compared with those of the method of characteristics and the classical acoustic theory, and various peaks and troughs in insertion loss curves are analytically validated.     

An adaptive quarter-wave tube that uses the sliding-Goertzel algorithm for estimation of phase

This paper describes an adaptive quarter wave tube used to attenuate a tone from the exhaust noise of a large diesel engine. A sliding-Goertzel algorithm was used to calculate the phase angle of the transfer function between a microphone in the adaptive quarter wave tube and in the main exhaust duct. The control system adjusted the length of the adaptive quarter wave tube until the phase angle was −90° and caused the sound pressure level at the cylinder firing frequency in the exhaust duct to be minimized. The system was able to adapt to changes in engine speed, exhaust gas temperature, and load applied to the engine. The results demonstrate that the sliding-Goertzel algorithm can be used effectively to estimate the phase angle in an adaptive–passive acoustic control system.     

热粘性对发动机排气管道中噪声传播的影响

声波在气体中传播时,气体的热粘性效应会使声波产生一定程度的衰减,且气体的声吸收系数随温度的升高而增大。由于发动机的排气温度较高,热粘性效应引起的排气管道中的噪声衰减应加以考虑。基于准平面波理论,首次计算了考虑热粘性效应时不同温度、流速和管道尺寸下排气管道中的传递损失,分析了各参数对管道中噪声衰减的影响。结果表明,随着温度和频率的升高热粘性声衰减增强,而气流流速和管道直径的增加会降低直管中的热粘性声衰减。对于简单膨胀腔,传递损失的预测结果表明,热粘性效应使通过频率处的声衰减有所改善。     

固体发动机尾焰近红外高光谱计算与仿真

首先介绍固体发动机尾焰中钾原子的来源及其在尾焰中的辐射机理,并基于原子谱线理论对尾焰钾共振双线的光谱线型特征进行分析。然后,采用理想模型及半经验公式法对尾焰流场分布进行数值模拟,通过尾焰的流场参数使用C-G近似法数值计算尾焰钾共振双线的辐射特性。最后,利用大气辐射传输模型计算尾焰中钾共振双线辐射信号经过大气传输后到达探测系统的光谱特征。结果表明,该方法能有效地仿真计算尾焰近红外钾线高光谱精细结构。仿真结果亦表明钾共振双线光谱信号能有效通过大气传输,可作为尾焰探测识别的依据。     

Acoustical source characterization studies on a multi-cylinder engine exhaust system

It is well known that the characterization of the acoustic source in an exhaust muffler system is of utmost importance in the proper evaluation of the acoustic performance of the muffler. However, in the literature, there are very few experimental studies on source characterization of a multi-cylinder internal combustion engine. This paper describes the use of a transfer function method (with a random excitation source) for measurement of the internal source impedance of an eight-cylinder engine under running conditions. The results obtained agree well with those obtained by the standing wave method by earlier investigators. The studies include the effect on the measured internal source impedance caused by variation of engine speed and load. The source impedance results obtained for the engine in operation are compared with those for the engine not in operation. The use of these results in the overall modeling of the exhaust system is described in an accompanying paper.     

Simulative and experimental investigations on pressure-induced structural vibrations of a rear muffler

The periodically blown out exhaust gas of a combustion engine may excite structural vibrations of the exhaust system. In addition to the noise of the orifice, these vibrations contribute to the overall noise radiation of the exhaust system. In this work, the excitation of structural vibrations of a rear muffler via the acoustic path is investigated both in experiments and simulations. In both cases transfer functions from the acoustic pressure at the inlet to the structural deflection on the surface of the rear muffler are determined and compared to each other. For the simulation an FE-FE (finite element) coupling is applied to account for the fluid-structure interaction. To efficiently predict the fluid-structure coupled behavior, a model reduction technique for the finite element method based on the Craig-Bampton method and the Rubin method is presented. In a last step, the sound radiation is evaluated by solving the exterior acoustic problem with the fast multipole boundary element method. For this purpose, the results of the FE computation are used as boundary datum.     

Correction of fan noise for effects of forward flight

When acoustic measurements are made on a static engine test stand, the data must be corrected for the effects of forward flight to predict correctly the noise characteristics of the engine in flight. A ray tracing approach is used here to relate the static test case to the flight case. The assumptions of isentropic irrotational flow into the fan inlet and a cylindrical shear layer at the fan exhaust lead to slightly different methods for correcting inlet noise and exhaust noise. The forward flight correction method generally involves both an angle and an amplitude correction. The amplitude correction factors for inlet and exhaust noise are the same as that for a dipole and can be as much as 6 dB for a flight Mach number of 0·3. The angle correction for the inlet noise differs from that of the exhaust noise, and both differ from the generally used correction to retarded angle.     

Predictions and experimental studies of the tail pipe noise of an automotive muffler using a one dimensional CFD model

The tail pipe noise from a commercial automotive muffler was studied experimentally and numerically under the condition of wide open throttle acceleration in the present research. The engine was accelerated from 1000 to 6000 rpm in 30 s at the warm up condition. The transient acoustic characteristics of its exhaust muffler were predicted using one dimensional computational fluid dynamics. To validate the results of the simulation, the transient acoustic characteristics of the exhaust muffler were measured in an anechoic chamber according to the Japanese Standard (JIS D 1616). It was found that the results of simulation are in good agreement with experimental results at the 2nd order of the engine rotational frequency. At the high order of engine speed, differences between the computational and experimental results exist in the high revolution range (from 5000 to 6000 rpm at the 4th order, and from 4200 to 6000 rpm at the 6th order). According to these results, the differences were caused by the flow noise which was not considered in the simulation. Based on the theory of one dimensional CFD model, a simplified model which can provide an acceptable accuracy and save more than 90% of execution time compared with the standard model was proposed for the optimization design to meet the demand of time to market.     

Measurement of the effect on brake performance of the intake and exhaust system components in a motorbike high speed racing engine

The paper presents a series of brake performance measurements for a high speed Road Racing Supersport motorbike engine. A modular approach consisting in a progressive assembling of each component belonging to the intake and exhaust systems is used to investigate the influence of these components on volumetric efficiency through brake torque chassis dynamometer tests. In spite of the design effort that is usually made to keep the cylinder air intake independent of each other in this kind of engines, results showed a considerable acoustic coupling between the intake primary manifolds and the upstream components. Moreover, a good correspondence is found about intake and exhaust tuning regimes between experimental results and analytical relationships proposed in the literature. The presented results can also be interpreted as representative for the overall very high speed engines category (including MotoGP and F1 ones), being the air-breathing system layout mostly independent of engine technological level within this category.     

Sound wave motion in pipes having time-variant ambient temperature

The classical time-invariant acoustic waveguide theory is extended by allowing for temporal variations of the speed of sound. Essentially, what distinguishes the present theory from the classical waveguide theory is that, while the latter predicts stable waves for all frequencies, the present theory predicts that stable waves may occur only in certain frequency bands. Implication of the theory for engine exhaust pipes is discussed.     

Some New Features of Linear Theory for Describing Non-linear Diffusion

The non-linear flux equation, the non-linear Fokker-Planck equation (or Smoluchowski equation), and the non-linear Langiven equation are the basicequations for describing particle diffusion in non-ideal system subjected totime-dependent external fields. Nevertheless, the exact solution of thoseequations is still a challenge because of their inherent complexity of thenon-linear mathematics. Li et al. found that, based on the defined apparentvariables, the non-linear Fokker-Planck equation and the non-linear flux equation could be transformed to linear forms under the condition of strong friction limit or local equilibrium assumption. In this paper, some new features of the theory were found: (i) The linear flux equation for describing non-linear diffusion can be obtained from the irreversible thermodynamic theory; (ii) The linear non-steady state diffusion equation for describing non-linear diffusion of the non-steady state, which was described by the non-linear Fokker-Planck equation, can be derived more consistently from the microscopic molecular statistical theory; (iii) In the theory, thenon-linear Langiven equation also bears a linear form; (iv) For some special cases, e.g. diffusion in a periodic total potential system, the local equilibrium assumption or the strong friction limit is not required in establishing the linear theory for describing non-linear diffusion, so the linear theory may be important in the study of Brown motor.     

利用可调谐激光吸收光谱技术的柴油机排放温度测试研究

针对D4114B型柴油机排放尾气中的CO2气体开展测量研究,计算分析气体的体积分数以及温度。文中以可调谐半导体激光器吸收光谱(Tunable Diode Laser Absorption Spectroscopy,TDLAS)技术原理为基础,利用MATLAB中SIMULINK库中的各个模块,模拟尾气测量的实际过程。仿真结果显示,在模拟柴油机排放环境下,待测量气体CO2的温度仿真相对误差为0.03%。利用船用D4114B型柴油机进行验证实验,在其排气管上增添可视化窗口并安装相应测试系统,利用以半导体为工作介质的可调谐激光器作为激光光源,开展尾气排放中CO2气体温度的在线测试研究,测试相对误差小于4%。由上述研究结果可知,本文中利用SIMULINK搭建的模型所测得的温度值与实际柴油机尾气排放过程中的温度相差较小,因此,其仿真结果能够对柴油机排气测温提供一定的参考。     

Dynamical behaviour of non-linear quantum ion acoustic wave in weakly magnetized electron–positron–ion plasma

In order to investigate the propagation characteristics of linear and non-linear ion acoustic waves (IAWs) in electron–positron–ion quantum plasma in the presence of external weak magnetic field, we have used a quantum hydrodynamic model, and degenerate statistics for the electrons and positrons are taken into account. It is found that the linear dispersion relation of the IAW was modified by the externally applied magnetic field. By using the reductive perturbation technique, a gyration-modified Korteweg-de Vries equation is derived for finite amplitude non-linear IAWs. Time-dependent numerical simulation shows the formation of an oscillating tail in front of the ion acoustic solitons in the presence of a weak magnetic field. It is also seen that the amplitude and width of solitons and oscillating tails are affected by the relevant plasma parameters such as quantum diffraction, positron concentration, and magnetic field. We have performed our analysis by extending it to account for approximate soliton solution by asymptotic perturbation technique and non-linear analysis via a dynamical system approach. The analytical results show the distortion of the shape of the localized soliton with time, and the non-linear analysis confirms the generation of oscillating tails.     

Uncertainties propagation for combustion diagnostics using infrared band models

The development of matrix equations for an uncertainty propagations analysis of an emission-absorption (E/A) band-model technique is described. The E/A technique is used for the determination of local values of temperature and species concentration from measurements of radiance and transmittance on axisymmetric gas flows. The approach used depends on linearization of the original nonlinear system of equations comprising the solution to the radiative transfer problem for an emitting-absorbing source such as a turbojet or rocket engine exhaust plume. The resultant linear transformation matrix provides a means for determination of the variance-covariance matrix for inverted temperature and partial pressure, based on the experimentally determined variance-covariance matrix of the measured radiance and transmittances. The diagonal elements of the propagated variance-covariance matrix yield the square of the standard deviation of the temperature and partial pressure. Although the equations are developed for uncertainty propagations analysis of the E/A band-model technique, the results are a general property of linear transformations. They are thus applicable to any situation in which the dependence of analysis on measurements can be approximated by a linear relationship. Inversion of radiance and transmittance lateral profiles obtained from a liquid-propellant rocket engine to radial profiles of temperature and partial pressure with the associated uncertainties propagations is included as an illustrative example.     

Transient response of a hydraulic engine mount

Linear and non-linear transient responses of a typical hydraulic engine mount are analytically and experimentally studied in this paper. First, a lumped parameter linear model is used to approximate the typical step response and to suggest parameters that must be experimentally determined. Various configurations as related to inertia track and decoupler are analyzed. Two bench experiments are constructed for the identification of non-linear compliances and resistances. One of the main non-linear characteristics, however, comes from the decoupler mechanism. To accurately predict the time events of the decoupler opening and closing, an equivalent viscous damper model is employed along with a multi-staged switching mechanism. Additionally, non-linear behavior arising due to the vacuum formation in the top chamber is studied by defining a bi-linear asymmetric stiffness curve. New transient experiments are conducted on an elastomer test system, and measured transmitted force and top chamber pressure signals are analyzed. Results of the proposed simulation model match well with measured responses when step up, step down and triangular waveforms are applied. Areas for future research are identified.     

Non-linear effect of wall linings on sound attenuation in ducts

The equivalent surface source method is extended to the analysis of high intensity sound propagation in a duct whose wall is partially treated with a sound absorbing material. The propagation of sound in the gas is assumed to be linear, but the acoustic resistance of the sound absorbing material is assumed to be a function of the normal acoustic velocity. The problem is reduced to a non-linear integro-differential equation for the fluid particle displacement at the lined wall surface, which can be solved by a successive approximation method. Numerical examples show that the non-linear effect decreases or increases the peak sound attenuation rate of the lowest mode depending upon the linear component of the resistance. The dependence of the attenuation spectrum on modal phase difference of multi-mode incident waves is heavily affected by the non-linear effect. In the case of incident waves of multi-circumferential modes, different circumferential modes are generated by the non-linear effect.     

便携式FTIR的机动车尾气检测方法

随着汽车排放标准的提高,相关VOC标准从总烃检测变为非甲烷碳氢化合物(NMHC)检测;随着含氧燃料的增加,增加了非甲烷有机气体(NMOG)测量。针对国内汽车尾气分析仪分析组分单一、精度有限、VOCs检测过程复杂等问题,提出了基于便携式FTIR的机动车尾气检测方法,基于立体角镜优化FTIR光学系统结构,提高动镜扫描速度,设计便携式且满足抗振动需求的快速FTIR光谱仪。FTIR红外光源输出波段范围为2～20 μm,分辨率为0.5 cm-1,扫描速度1 Hz,气体池光程为10 m,采用斯特林探测器,其光谱响应范围为600～6 000 cm-1。选择CH₄,C₂H₂,C₂H₄,C₂H₆,C₃H₆,n-C₅H₁₂,i-C₅H₁₂,C₇H₈,HCHO,C₂H₅OH,CH₃CHO这些典型HC化合物作为VOC气体检测的替代物。通过标准谱确定尾气成分的波段为900～1 100和2 700～3 100 cm-1,涵盖所有待测气体吸收波段。基于AVL台架测试,开展NEDC和WLTC工况实验测试,测试车辆为丰田威驰,测试油品为92号国五。便携式FTIR采用抽取方式进行尾气测量,原始的废气样本来自安装在排气管延长部分的多孔探头,前端安装样气取样装置,主要包括颗粒物过滤和除水汽装置,以防止污染FTIR光学系统。实验表明FTIR可以有效快速测量汽车尾气中CO,CH₄,NO和主要HC化合物,在FTIR检测限0.5 μmol·mol-1下会引入噪声信号,浓度可信度降低。通过分析可以看出输出气体平均浓度降级排列依次是：CO,C₂H₄,CH₄,NO,i-C₅H₁₂,C₂H₆,C₇H₈,n-C₅H₁₂,C₂H₅OH,CH₃CHO。从3个循环的NEDC工况可以看出,每种气体排放呈现一致的规律性变化。针对CO进行了SEMTECH-DS与FTIR测量数据的时间序列比较,结果呈现了较好的规律一致性,但是由于FTIR和SEMTECH-DS测量技术和取样稀释系统不同导致二者浓度差异较大。与传统尾气检测技术相比,便携式FTIR测量系统对瞬态事件有良好的响应,可以在线进行多组分浓度实时测量获取机动车的瞬时排放数据,在满足新规测试要求下,也可以为后期的机动车在实际道路上的排放特征分析和模拟提供可靠的数据支持。     

The effect of turbulence damping on acoustic wave propagation in tubes

The attenuation of sound due to the interaction between a low Mach number turbulent boundary layer and acoustic waves can be significant at low frequencies or in narrow tubes. In a recent publication by the present authors the acoustics of charge air coolers for passenger cars has been identified as an interesting application where turbulence attenuation can be of importance. Favourable low-frequency damping has been observed that could be used for control of the in-duct sound that is created by the engine gas exchange process. Analytical frequency-dependent models for the eddy viscosity that controls the momentum and thermal boundary layers are available but are restricted to thin acoustic boundary layers. For cases with cross-sections of a few millimetres a model based on thin acoustic boundary layers will not be applicable in the frequency range of interest.In the present paper a frequency-dependent axis-symmetric numerical model for interaction between turbulence and acoustic waves is proposed. A finite element scheme is used to formulate the time harmonic linearized convective equations for conservation of mass, momentum and energy into one coupled system of equations. The turbulence is introduced with a linear model for the eddy viscosity that is added to the shear viscosity. The proposed model is validated by comparison with experimental data from the literature.     

Experimental investigation of in-duct insertion loss of catalysts in internal combustion engines

Acoustic performance characteristics of catalysts in the exhaust system are important in the development of predictive tools for the breathing system of internal combustion engines. To understand the wave attenuation behavior of these elements with firing engines, dynamometer experiments are conducted on a 3.0L V-6 engine with two different exhaust systems: one with the catalysts on the cross-over pipe, and the other that replaces the catalysts with equal length straight pipes. The instantaneous crank-angle resolved pressure data are acquired at wide open throttle and 500 rpm intervals over the operating range of the engine (from 1000 to 5000 rpm) at various locations in both exhaust systems. The effect of the catalyst is then isolated and discussed in terms of insertion loss at critical locations in the exhaust system. The analysis is presented both in terms of time-domain and order-domain. The predictive capability of a finite-difference based time-domain nonlinear approach is also demonstrated as applied to large amplitude waves in the exhaust system of firing engines.