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
| Autor: | A. F. Sobolev, M. A. Yakovets |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Acoustics and Ultrasonics Acoustics Mathematical analysis 01 natural sciences 010305 fluids & plasmas Wiener–Hopf method symbols.namesake Transverse plane Amplitude Flow (mathematics) 0103 physical sciences Jump symbols Potential flow Boundary value problem 010301 acoustics Electrical impedance |
| Zdroj: | Acoustical Physics. 63:625-636 |
| ISSN: | 1562-6865 1063-7710 |
| DOI: | 10.1134/s1063771017060148 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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