Waves below first cutoff in a duct
Abstract
The two-dimensional Helmholtz equation is studied for an infinite region with two semi-infinite plates extending to infinity in opposite directions and a finite duct in the overlapping region. The solution technique leads to coupled Wiener-Hopf equations, and subsequently to an infinite set of simultaneous linear equations. As an example, an asymptotic expansion is calculated and graphed for the case when the duct length divided by duct width is large enough to ensure damping of all but the zero mode wave in the duct.
- Publication:
-
Australian Mathematical Society Journal Series B -- Applied Mathematics
- Pub Date:
- April 1988
- Bibcode:
- 1988AuMSJ..29..448D
- Keywords:
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- Ducted Flow;
- Helmholtz Equations;
- Standing Waves;
- Wiener Hopf Equations;
- Asymptotic Methods;
- Linear Equations;
- Longitudinal Waves;
- Resonant Vibration;
- Acoustics