Acoustic diffraction in a trifurcated waveguide with mean flow

Diffraction of acoustic plane wave through a semi-infinite hard duct which is placed symmetrically inside an infinite soft/hard duct has been analyzed rigorously. Convective flow has been taken into consideration for the analysis. In this paper the applied method of solution is integral transform and Wiener-Hopf technique. The imposition of boundary conditions result in a 2×22×2 matrix Wiener-Hopf equation associated with a new canonical scattering problem which has been solved explicitly by expansion coefficient method. The graphs are plotted for sundry parameters of interest. Kernel functions are factorized. The results have applications to duct acoustics.