Diffraction of sound from semi-infinite perforated and semi-infinite coated duct with ring source

Abstract

This study delves into the analysis of acoustic waves emanating from a ring source in an infinite cylindrical duct. The duct is equipped with an acoustically absorbing lining on its outer surface when $z$ is less than $l$, and is perforated when $z$ is greater than $l$. The inclusion of acoustically absorbing lining results in a substantial increase in the complexity of the equations compared to the scenario without such lining. Through rigorous efforts, these intricate equation systems are numerically solved, and graphs are generated across various parameter values. Furthermore, by adjusting the parameter values, a physical resemblance is established with an existing study in the literature, showcasing impeccable alignment in the results.

Keywords

• Absorbing lining
• perforated duct
• Wiener-Hopf
• ring source

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