Application of the Wiener–Hopf method for describing the propagation of sound in cylindrical and rectangular channels with an impedance jump in the presence of a flow
Application of the Wiener–Hopf method for describing the propagation of sound in cylindrical and rectangular channels with an impedance jump in the presence of a flow
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应用维纳-霍普夫方法来描述存在流动时阻抗跳变的圆柱形和矩形通道中的声音传播
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
M. Yakovets
中科院分区：
文献类型：
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作者：
A. F. Sobolev;M. Yakovets
本文给出了均匀流存在时阻抗突变的管道中声模传播问题的精确解。本文考虑了Wiener-Hopf方法可以解决的两个问题--具有横向阻抗跳变的无限长圆柱形通道中的声模传播问题和具有阻抗跳变的矩形通道中的声模传播问题。在通道壁上，施加Ingard-Myers边界条件，并且作为在衬里的接合处附近的附加边界条件，施加表示声能的有限性的条件。得到了透射场和反射场振幅的解析表达式。
Exact solutions to problems of the propagation of acoustic modes in lined channels with an impedance jump in the presence of a uniform flow are constructed. Two problems that can be solved by the Wiener- Hopf method—the propagation of acoustic modes in an infinite cylindrical channel with a transverse impedance jump and the propagation of acoustic modes in a rectangular channel with an impedance jump on one of its walls—are considered. On the channel walls, the Ingard–Myers boundary conditions are imposed and, as an additional boundary condition in the vicinity of the junction of the linings, the condition expressing the finiteness of the acoustic energy. Analytical expressions for the amplitudes of the transmitted and reflected fields are obtained.