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
- Authors: Sobolev A.F.1,2, Yakovets M.A.1,3
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Affiliations:
- Central Aerodynamic Institute
- Perm National Research Technical University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 63, No 6 (2017)
- Pages: 625-636
- Section: Classical Problems of Linear Acoustics and Wave Theory
- URL: https://journals.rcsi.science/1063-7710/article/view/186289
- DOI: https://doi.org/10.1134/S1063771017060148
- ID: 186289
Cite item
Abstract
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.
About the authors
A. F. Sobolev
Central Aerodynamic Institute; Perm National Research Technical University
Email: aeroacoustics@mktsagi.ru
Russian Federation, Moscow, 105005; Perm, 614990
M. A. Yakovets
Central Aerodynamic Institute; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: aeroacoustics@mktsagi.ru
Russian Federation, Moscow, 105005; Dolgoprudny, Moscow oblast, 141700