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Nonlinear self-excited acoustic oscillations within fixed boundaries

Published online by Cambridge University Press:  20 April 2006

Jakob J. Keller
Jakob J. Keller
Affiliation:
Brown Boveri Research Centre, CH-5405 Baden-Dättwil. Switzerland
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Abstract

In §1 a brief discussion of the general problem of self-excited acoustic oscillations within fixed boundaries is given. I n §2 a second-order analysis is developed for the special case of rectangular cavities. A nonlinear wave equation is derived for essentially arbitrary boundary conditions. The analysis can be extended to other cavity geometries provided that the first-order solutions can be expressed in closed form. Various applications of the analysis are discussed in §3. It turns out that two-dimensional problems of self-excited oscillations generally lead to nonlinear equations containing terms with a time lag. It is anticipated that the time lag (rather than viscous effects or sound radiation) represents the key to a fundamental understanding of the character of the oscillations and the variety of modes appearing in self-excited resonators.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 267 - 281
Copyright
© 1982 Cambridge University Press

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