⎯Exact solutions to problems of the propagation of acoustic modes in lined channels with an imped-
ance 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 imped-
ance 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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• 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 1