“…The above-described boundary condition was applied to the duct without flow (Zorumski, 1973) and with uniform flow occurring both inside the duct and in the surrounding medium (Tyler, Sofrin, 1962). The next model, assuming diffraction of the sound waves at the duct outlet, although considerably complicated and demanding application of the Wiener-Hopf method (Noble, 1958), has been frequently applied both to the single mode (Snakowska, Wyrzykowski, 1986;Weinstein, 1969) and the multimode radiation (Joseph, Morfey, 1999; Snakowska, 1993; Snakowska et al, 1996; Snakowska, Idczak, 1997a, b; Snakowska, Jurkiewicz, 2010).…”