旋转叶片辐射和边界散射噪声的频域预测方法及其加速算法
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- 英文论文题名：Frequency-domain method for predicting noise radiated from rotors and scattered by surfaces and its accelerated method
- 论文作者：毛义军 ; 徐辰 ; 胡志伟
- 英文论文作者：MAO Yijun ; XU Chen ; HU Zhiwei ; School of Power and Energy ; Xi'an Jiaotong University ; Faculty of Engineering and the Environment ; University of Southampton
- 年：2016
- 作者机构：西安交通大学能源与动力工程学院;University of Southampton,Faculty of Engineering and the Environment;
- 论文关键词：气动噪声 ; 噪声预测 ; 旋转叶片 ; 频域方法 ; 加速算法
- 英文论文关键词：aeroacoustics ; noise prediction ; rotating blades ; frequency-domain method ; acceleration method
- 会议召开时间：2016-11-04
- 会议录名称：2016年度全国气动声学学术会议论文摘要集
- 语种：中文
- 分类号：TB53
- 学会代码：LTLX
- 会议名称：2016年度全国气动声学学术会议
- 会议地点：中国北京
- 主办单位：中国航空学会航空声学专业委员会、中国航空学会气动声学专业委员会、中国商飞上海飞机设计研究院、北京航空航天大学
- 学会名称：北京航空航天大学流体力学教育部重点实验室
- 页数：6
- 文件大小：291k
- 原文格式：D
- 会议级别：全国
摘要
旋转叶片辐射和边界散射噪声的预测方法是透平机械气动噪声研究的核心技术问题之一。长期以来,时域Farasaat公式虽然被广泛应用于透平机械气动噪声的预测,但是其存在插值误差以及在声源处于超音速运动时存在奇异积分和延迟时间方程多根的问题。作者近年来致力于透平机械气动噪声的预测方法研究,重点开展了旋转叶片辐射噪声和边界散射噪声的频域预测方法及其加速算法研究,本文主要对如下几个方面的工作进行了综述:(1)采用球谐级数展开方法建立了旋转单、偶和四极子点声源辐射噪声的频域解析解,相对于已有的解析公式,我们所建立的公式取消了声源方向和观察点位置的限制和假设,为数值计算研究提供了验证基准;(2)提出了旋转叶片辐射噪声的频域积分公式及其数值方法,不仅避免了时域Farassat公式存在的上述不足,而且直接从时域非定常流动计算结果计算得到频域声压;(3)分别拓展球谐级数展开方法和频域数值方法考虑均匀来流效应对旋转声源辐射噪声的影响,适用于高来流Ma数条件下的旋转叶片噪声预测;(4)综合利用上述两类频域方法的特征,推导了旋转叶片辐射噪声随观察点径向坐标和周向角的变化规律,提出了旋转叶片远场噪声分布及其辐射声功率的加速预测方法;(5)建立了旋转声源辐射声粒子速度的频域预测方法,并结合频域等效源方法建立了旋转叶片辐射噪声和边界散射噪声的全频域数值预测方法;(6)在研究内容(4)和(5)的基础上,提出了轴对称结构(旋转轴、机匣等)散射旋转叶片噪声的加速方法,在保证计算精度的同时极大的提升了计算速度。
Prediction method of noise radiated from rotating blades and scattered by solid surfaces is a key technical issue in turobomachinery research.The widely used time-domain formulations developed by Farassat suffer from the interpolation error, singularity and multi-roots of the retarded-time equation for sources in supersonic motion.The paper reviews the recent investigations conducted by the authors and his colleagues on the frequency-domain method and its acceleration method, which mainly include the following six aspects.Firstly, analytical solutions for sound radiated from rotating monopole, dipole and quadrupole point sources haven been deduced by using a spherical harmonic series expansion method.The advantages of present method over existing methods is that it considers the contribution from the component of the source in all direction and has no limitation on the observer position.Secondly, the frequency-domain numerical method has been developed, which avoids the drawbacks in time-domain method and directly outputs the frequency-domain acoustic pressure from the input of instantaneous sources.Thirdly, both frequency-domain methods have been extended to consider the effect of mean flow on sound propagation.Fourth, an accelerated method has been proposed to compute the acoustic field around and acoustic power output from rotating sources by using the relationship between the frequency-domain acoustic pressure and the circumferential angle of the observer.Fifth, a frequency-domain method has been developed to compute noise radiated from rotating blades and scattered by solid surfaces in which both the frequency-domain acoustic velocity formulations and equivalent source method are used.Sixth, an acceleration method is proposed to predict rotor noise scattered by a symmetric scattering surface, which greatly improves the computational efficiency with reserving the computational accuracy.
Prediction method of noise radiated from rotating blades and scattered by solid surfaces is a key technical issue in turobomachinery research.The widely used time-domain formulations developed by Farassat suffer from the interpolation error, singularity and multi-roots of the retarded-time equation for sources in supersonic motion.The paper reviews the recent investigations conducted by the authors and his colleagues on the frequency-domain method and its acceleration method, which mainly include the following six aspects.Firstly, analytical solutions for sound radiated from rotating monopole, dipole and quadrupole point sources haven been deduced by using a spherical harmonic series expansion method.The advantages of present method over existing methods is that it considers the contribution from the component of the source in all direction and has no limitation on the observer position.Secondly, the frequency-domain numerical method has been developed, which avoids the drawbacks in time-domain method and directly outputs the frequency-domain acoustic pressure from the input of instantaneous sources.Thirdly, both frequency-domain methods have been extended to consider the effect of mean flow on sound propagation.Fourth, an accelerated method has been proposed to compute the acoustic field around and acoustic power output from rotating sources by using the relationship between the frequency-domain acoustic pressure and the circumferential angle of the observer.Fifth, a frequency-domain method has been developed to compute noise radiated from rotating blades and scattered by solid surfaces in which both the frequency-domain acoustic velocity formulations and equivalent source method are used.Sixth, an acceleration method is proposed to predict rotor noise scattered by a symmetric scattering surface, which greatly improves the computational efficiency with reserving the computational accuracy.
引文
[1]Ffowcs Williams,J.,Hawkings D.,Sound generation by turbulence and surfaces in arbitrary motion.Philosophical Transactions of the Royal Society of London A:Mathematical,Physical and Engineering Sciences,1969.264(1151):321-342.
[2]Farassat,F.,Derivation of Formulations 1 and 1A of Farassat.NASA/TM-2007-214853.
[3]Brentner,K.S.,Farassat,F.Modeling aerodynamically generated sound of helicopter rotors.Progress in Aerospace Sciences,2003.39(2-3):83-120.
[4]Tang,H.,Mao,Y.,Qi D.,Solution Characteristics of the Retarded-Time Equation for Transonic Rotating Sources.AIAA Journal,2013.51(8):2035-2040.
[5]Roger M,Near-field fan noise modeling and installation effects due to scattering surfaces,In Fan Noise 2007.2007:Lyon.
[6]吴九汇,陈花玲,黄协清,旋转点声源空间声场的频域精确解.西安交通大学学报,2000(01):71-75.
[7]Mao,Y.,Gu,Y.,Qi,D.,An exact frequency-domain solution of the sound radiated from the rotating dipole point source.Journal of the Acoustical Society of America,2012.132(3):1294-1302.
[8]Mao,Y.,Xu,C.Qi,D.Tang,H.,Series expansion solution for sound radiation from rotating quadrupole point source.AIAA Journal,2014.52(5):1086-1095.
[9]Mao,Y.,Zhang Q.,Xu,C.,Qi,D.,Two types of frequency-domain acoustic-velocity formulations for rotating thickness and loading sources.AIAA Journal,2015.53(3):713-722.
[10]Mao,Y.,Xu,C.,Qi,D.,Frequency-domain model of tonal blade thickness and loading noise.The Journal of the Acoustical Society of America,2014.135(1):93-103.
[11]Mao,Y.,Gu Y.,Xu,C.,Validation of Frequency-domain method to compute noise radiated from rotating source and scattered by surface.AIAA Journal,2016.54(4):1188-1197.
[12]Mao,Y.,Qi,D.,Computation of rotating blade noise scattered by a centrifugal volute.Proceedings of the Institution of Mechanical Engineers Part A-Journal of Power And Energy,2009.223(8):965-972.
[13]Tang,H.,Qi,D.,Mao,Y.,Analysis on the frequencydomain numerical method to compute the noise radiated from rotating sources.Journal of Sound and Vibration,2013.332(23):6093-6103.
[14]Wells,V.,Han,A.,Acoustics of a moving source in a moving medium with application to propeller noise.Journal of Sound and Vibration,1995.184(4):651-663.
[15]Najafi-Yazdi,A.,Bres,G.,Mongeau,L.,An acoustic analogy formulation for moving sources in uniformly moving media.Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences,2011.467(2125):144-165.
[16]Ghorbaniasl,G.,Lacor,C.,A moving medium formulation for prediction of propeller noise at incidence.Journal of Sound and Vibration,2012.331(1):117-137.
[17]Xu,C.,Mao,Y.,Qi,D.,Frequency-domain acoustic pressure formulation for rotating source in uniform subsonic inflow with arbitrary direction.Journal of Sound and Vibration,2014.333:3081-3091.
[18]Mao,Y.,Xu,C.,Qi,D.,Analytical solution for sound radiated from the rotating point source in uniform subsonic axial flow.Applied Acoustics,2015.92(1):6-11.
[19]Ghorbaniasl,G.,Carley,M.,Lacor,C.,Acoustic velocity formulation for sources in arbitrary motion.AIAA Journal,2013.51(3):632-642.
[20]Mao,Y.,Cai,J.,Gu,Y.,Qi,D.,Direct evaluation of acoustic intensity vector field around impedance scattering body.AIAA Journal,2015.53(5):1362-1371.
[21]Mao,Y.,Xu,C.,Accelerated method for predicting acoustic far field and acoustic power of rotating source.AIAA Journal,2016,54(4):1-13.
[22]Mao,Y.,Hu,Z.,Gu,Y.Efficient method to predict noise radiated from rotating sources and scattered by an axisymmetric body.AIAA Journal,Submitted.
[23]Zhang,Q.,Mao,Y.,Qi,D.,Gu,Y.,An improved series expansion method to accelerate the multi-frequency acoustic radiation prediction.Journal of Computational Acoustics,2015.23(1):1450015.
[2]Farassat,F.,Derivation of Formulations 1 and 1A of Farassat.NASA/TM-2007-214853.
[3]Brentner,K.S.,Farassat,F.Modeling aerodynamically generated sound of helicopter rotors.Progress in Aerospace Sciences,2003.39(2-3):83-120.
[4]Tang,H.,Mao,Y.,Qi D.,Solution Characteristics of the Retarded-Time Equation for Transonic Rotating Sources.AIAA Journal,2013.51(8):2035-2040.
[5]Roger M,Near-field fan noise modeling and installation effects due to scattering surfaces,In Fan Noise 2007.2007:Lyon.
[6]吴九汇,陈花玲,黄协清,旋转点声源空间声场的频域精确解.西安交通大学学报,2000(01):71-75.
[7]Mao,Y.,Gu,Y.,Qi,D.,An exact frequency-domain solution of the sound radiated from the rotating dipole point source.Journal of the Acoustical Society of America,2012.132(3):1294-1302.
[8]Mao,Y.,Xu,C.Qi,D.Tang,H.,Series expansion solution for sound radiation from rotating quadrupole point source.AIAA Journal,2014.52(5):1086-1095.
[9]Mao,Y.,Zhang Q.,Xu,C.,Qi,D.,Two types of frequency-domain acoustic-velocity formulations for rotating thickness and loading sources.AIAA Journal,2015.53(3):713-722.
[10]Mao,Y.,Xu,C.,Qi,D.,Frequency-domain model of tonal blade thickness and loading noise.The Journal of the Acoustical Society of America,2014.135(1):93-103.
[11]Mao,Y.,Gu Y.,Xu,C.,Validation of Frequency-domain method to compute noise radiated from rotating source and scattered by surface.AIAA Journal,2016.54(4):1188-1197.
[12]Mao,Y.,Qi,D.,Computation of rotating blade noise scattered by a centrifugal volute.Proceedings of the Institution of Mechanical Engineers Part A-Journal of Power And Energy,2009.223(8):965-972.
[13]Tang,H.,Qi,D.,Mao,Y.,Analysis on the frequencydomain numerical method to compute the noise radiated from rotating sources.Journal of Sound and Vibration,2013.332(23):6093-6103.
[14]Wells,V.,Han,A.,Acoustics of a moving source in a moving medium with application to propeller noise.Journal of Sound and Vibration,1995.184(4):651-663.
[15]Najafi-Yazdi,A.,Bres,G.,Mongeau,L.,An acoustic analogy formulation for moving sources in uniformly moving media.Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences,2011.467(2125):144-165.
[16]Ghorbaniasl,G.,Lacor,C.,A moving medium formulation for prediction of propeller noise at incidence.Journal of Sound and Vibration,2012.331(1):117-137.
[17]Xu,C.,Mao,Y.,Qi,D.,Frequency-domain acoustic pressure formulation for rotating source in uniform subsonic inflow with arbitrary direction.Journal of Sound and Vibration,2014.333:3081-3091.
[18]Mao,Y.,Xu,C.,Qi,D.,Analytical solution for sound radiated from the rotating point source in uniform subsonic axial flow.Applied Acoustics,2015.92(1):6-11.
[19]Ghorbaniasl,G.,Carley,M.,Lacor,C.,Acoustic velocity formulation for sources in arbitrary motion.AIAA Journal,2013.51(3):632-642.
[20]Mao,Y.,Cai,J.,Gu,Y.,Qi,D.,Direct evaluation of acoustic intensity vector field around impedance scattering body.AIAA Journal,2015.53(5):1362-1371.
[21]Mao,Y.,Xu,C.,Accelerated method for predicting acoustic far field and acoustic power of rotating source.AIAA Journal,2016,54(4):1-13.
[22]Mao,Y.,Hu,Z.,Gu,Y.Efficient method to predict noise radiated from rotating sources and scattered by an axisymmetric body.AIAA Journal,Submitted.
[23]Zhang,Q.,Mao,Y.,Qi,D.,Gu,Y.,An improved series expansion method to accelerate the multi-frequency acoustic radiation prediction.Journal of Computational Acoustics,2015.23(1):1450015.