Abstract
This study presents the mode-matching analysis of two-dimensional trifurcated lined duct. The main objective is to deals the class of wave propagation problem arising in the modeling of scattering of acoustic waves having different bounded surfaces with abrupt geometric changes in channels or ducts. The under considered problem are governed by Helmholtz or Laplace equation together with different boundary conditions. The standard Mode-Matching Technique (MMT) is used to solve these governing problems. The obtained solutions are discussed and are plotted for various parameters of interest. Such investigations are beneficial in the reduction of noise effects generated through variety of devices.