Radiation of sound waves by semi-perforated duct

Abstract

In this paper, the Wiener-Hopf method is studied to solve the radiation of acoustic waves from a perforated part through an infinite channel. At first the boundary value problem involving a Helmholtz equation with mixed-boundary conditions is formulated into a Wiener Hopf equation by applying the Fourier transform. After that the Wiener-Hopf kernel is split into two functions that are analytic in specified regions of the complexplane and equation is solved analytically. Finally, numerical results showing the effect of the problem’s parameters (channel radius, frequency, etc.) on the radiation phenomenon are graphically displayed.

Subject Classification: [2010]:

• 78A45
• 47A68
• 42B10

Keywords:

• Fourier transform
• Wiener-Hopf method
• Boundary value problem
• Radiation
• Acoustics