Acoustic transmission through a silencer with wave-bearing boundaries

This article is concerned with the transmission of sound along a two-dimensional duct with a dissipative component that has one wave-bearing surface. Harmonic time dependence, e/sup -i/spl omega/t/ is assumed throughout and the boundary value problem is posed in terms of nondimensional variables. In this article, it is shown how the system of equations obtained through mode matching may be recast so that they do not depend on the roots of the dispersion relation. Numerical results demonstrating some of the transmission features of the silencer are also presented. The boundary value problem describing the propagation of sound through a duct with a finite length, flexible-walled silencer is presented. It is possible to calculate the reflected and transmitted power for a dissipative silencer with wave-bearing boundaries without solving the dispersion relation.