Radiation of sound waves from a coaxial duct with perforated screen

• Published in: IMA journal of applied mathematics Vol. 86; no. 4; pp. 828 - 844
• Main Authors: Tiryakioglu, Burhan, Tiryakioglu, Ayse
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.08.2021
• Subjects: perforated screen; coaxial duct; Jones' Method; Mode Matching method
• ISSN: 0272-4960; 1464-3634
• DOI: 10.1093/imamat/hxab016

Abstract Radiation of sound waves by a coaxial rigid duct with perforated screen is investigated by using the Mode Matching technique in conjunction with the Jones’ Method. The geometry of the problem consists semi-infinite outer duct and infinite inner duct. It is assumed that the duct walls are fully rigid. The solution of current study contains an infinite sets of coefficients satisfying an infinite systems of linear algebraic equations. These systems are truncated at a certain number and then solved numerically. The effects of open and perforated case, frequency and porosity on the radiation phenomenon are shown graphically. In the present study, perforated screen makes the problem more interesting when it is compared with the unperforated screen. In this context, solution of the problem is compered numerically with similar studies, which are used different method to obtain Wiener–Hopf equation, existing in the literature. As a result, it is observed that in the absence of a perforated screen, there is a perfect agreement between the two results.