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This article applies the mode-matching technique to discuss acoustic scattering of waves in flexible duct/channel at the junction of planar discontinuities. Fields across the junction are expanded in normal modes that involve discontinuities in velocities at the flanged junction. The reflected and transmitted fields are matched at interface wherein the use of generalized orthogonal properties (in case of flexible bounded ducts) enables the mode coefficients in terms of system of infinite linear algebraic equations. This system is truncated and solved numerically. The numerical experiments show that the variation of structural discontinuities along with different bounding surfaces significantly alters the reflected and transmitted powers.

Fluid-structure coupled wave scattering in a flexible duct at the junction of planar discontinuities