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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

  • Classical Problems of Linear Acoustics and Wave Theory
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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.

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Authors and Affiliations

  1. Central Aerodynamic Institute, Moscow, 105005, Russia

    A. F. Sobolev & M. A. Yakovets

  2. Perm National Research Technical University, Perm, 614990, Russia

    A. F. Sobolev

  3. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow oblast, 141700, Russia

    M. A. Yakovets

Authors
  1. A. F. Sobolev
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  2. M. A. Yakovets
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Correspondence to M. A. Yakovets.

Additional information

Original Russian Text © A.F. Sobolev, M.A. Yakovets, 2017, published in Akusticheskii Zhurnal, 2017, Vol. 63, No. 6, pp. 583–595.

This paper is based on an oral presentation at the Fourth International Workshop and Sixth All-Russia Conference “Computational Experiment in AeroAcoustics,” September 19–24, 2016, Svetlogorsk, Kaliningrad region; http://ceaa-w.imamod.ru.

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Sobolev, A.F., Yakovets, M.A. 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. Acoust. Phys. 63, 625–636 (2017). https://doi.org/10.1134/S1063771017060148

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  • DOI: https://doi.org/10.1134/S1063771017060148

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