The Utility of the Galerkin Method for the Acoustic Transmission in an Attenuating Duct

A comprehensive solution technique that can be applied to shear flow analysis for acoustic transmission in both hard and soft walled ducts with boundary layer dependence in one or two spatial directions is presented. The method, the weighted residual method of Galerkin, is applied in this paper to the two-dimensional channel for the purpose of ascertaining its applicability to more complicated geometries and with certain limitations appears to be a reliable method for treating both the hard and soft walled configurations. Even though the original intent was to establish the validity of the method for more general cases, it is considered to be a good alternative to the Runge-Kutta method in common use and indeed is superior for certain applications. © 1972