Axial-radial acoustic eigenoscillations near a thin-walled obstacle in a cylindrical channel with stepped narrowings

The dependencies are investigated of eigenfrequencies and eigenfunctions of acoustic axial-radial oscillations near a thin-walled obstacle in a channel with stepped narrowings on the geometric parameters of the oscillation region. It is discovered that, near the thin-walled cylindrical obstacles in an inhomogeneous cylindrical channel with the stepped two-sided cylindrical narrowing, the number of eigenfrequencies of the acoustic axial-radial oscillations of a gas may increase. The dependencies are obtained of eigenfrequencies on the geometric parameters of obstacles and the inhomogeneities of the channel.