具有流动和侧向Helmholtz共振器的驻波管内声场研究——Ⅰ.理论分析
A study of sound field in a standing wave tube with flow and lateral Helmholtz resonator I. Theoretical analysis
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摘要: 对于无流动的驻波管,侧向加入Helmholtz共振器已经被证实是降低火箭或涡轮发动机燃烧室燃烧噪声的一种好的新方法。但实际情况在燃烧室内是有低速流动的,本文对这种侧向具有Helmholtz共振器又有流动驻波管内的声场进行理论分析,建立相应的数学物理问题,并进行求解,包括:(1)建立有流动驻波管和Helmholtz共振器连接处的间断条件。(2)提出同时计及流动、共振器喉部粘性和多孔影响的Helmholtz共振器声阻抗计算公式。(3)建立驻波管末端反射条件。上述理论工作已得到实验证实。Abstract: A lateral Helmholtz resonator added to a standing wave tube without flow has been verified as a new method of noise reduction for combustion noise radiated from combustion channel of rockets or turbine machines. But in fact there is a flow with low velocity in the combustion channel. Therefore the theoretical analysis carried out by this paper is aimed at sound field of standing wave tube with flow and lateral Helmholtz resonator. Certainly a mathematic and physical problem should be formulated and solved. There are three key problems solved by the paper: (1) to formulate the discontinuity condition at the joint between the standing wave tube and Helmholtz resonator in the case of flow. (2) to formulate the acoustic impedance of Helmholtz resonator, considering the effects of flow, viscous and multihole. (3) to formulate the refection condition at the end of the standing wave tube. The theoretical works above have been verified by experiments.