RADIATION OF ACOUSTIC WAVES FROM A CIRCUMFERENTIAL SLOT ON A CIRCULAR DUCT

RADIATION OF ACOUSTIC WAVES FROM A CIRCUMFERENTIAL SLOT ON A CIRCULAR DUCT

H. Öztürk

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Abstract

Analytical solution is studied for a rigid circular waveguide which has a nite gap on its outer wall. Following the Wiener-Hopf technique, problem is formulated as a Fredholm integral equations. Asymptotic evaluations of integrals are carried out and the eld terms are determined explicitly. Finally, the in uence of the dierent parameters (gap length, width of the waveguide, etc.) on the radiation are illustrated numerically.

Keywords

Fourier transform, Wiener-Hopf technique, integral equations, acoustic radiation, coaxial waveguide.