Diffraction of sound waves by a lined cylindrical cavity

Abstract

In this paper, diffraction of sound waves through a lined cavity is analyzed rigorously. The inner–outer surfaces of the cavity and the base of the cavity are coated with three different absorbing linings. By using the Fourier transform technique in conjunction with the Mode-Matching method, the related boundary value problem is formulated as a Wiener–Hopf equation. In the solution, two infinite sets of unknown coefficients are involved that satisfy two infinite systems of linear algebraic equations. Numerical solution of this system is obtained for various values of the parameters of the problem. The graphical results are also presented which show that how efficiently the sound diffraction can be reduced by selection of problem parameters.

The effect of semi perforated duct on ring sourced acoustic diffraction

“…In their study, by using the Wiener-Hopf technique, the solution was obtained analytically [2]. Covering the pipe/duct walls with an absorbing lining is an efficient method that has proven beneficial in noise reduction [3][4][5]. Another method of reducing unwanted sound is to provide additional sound absorption by using perforated structures.…”