Acoustic scattering analysis in a lined waveguide involving step-discontinuities with generalized planar boundaries

Abstract

Analyzing the attenuation of unwanted sound in waveguides or ducts has led to many complex, interesting and challenging problems for engineers and researchers. The underlying article looks at the scattering properties of a lined waveguide in a broader context. An incident wave is introduced through region . The inlet of the waveguide is situated symmetrically whereas, the outlet of waveguide is acoustically lined including step-discontinuities and generalized mixed boundaries. The effects of various porous lined materials, such as fibrous and perforated sheets, are taken into account to analyze the transmitted behavior of the waveguide structure. The mode-matching method (MMM) is used to determine each region's scattered field potentials. The resulting energy functions of distributed fields are constructed both with and without structural discontinuities, as well as by varying the channel size in accordance with various physical parameters. In a specific situation, the current results of the theory of waveguides are restored, which leads to the presentation of a number of new results. It has been established that the resulting solution satisfies all geometric requirements, the law of conservation of energy, mathematical representation and graphics.