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A note on nonlinear acoustic resonances in rectangular cavities

Published online by Cambridge University Press:  12 April 2006

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

The problem of the resonant response of a gas contained in a two-dimensional rectangular cavity to periodic (sinusoidal) velocity excitations at the walls of the cavity is investigated. It is found that in some neighbourhood of each resonant frequency there are discontinuous pressure disturbances (shock waves). The present theory is an extension of Chester's theory on resonances in closed tubes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 87 , Issue 2 , 26 July 1978 , pp. 299 - 303
Copyright
© 1978 Cambridge University Press

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References

Chester, W. 1964 Resonant oscillations in closed tubes. J. Fluid Mech. 18, 44.Google Scholar
Keller, J. J. 1975 Subharmonic non-linear acoustic resonances in closed tubes. Z. angew. Math. Phys. 26, 395.Google Scholar
Keller, J. J. 1976a Resonant oscillations in closed tubes: the solution of Chester's equation. J. Fluid Mech. 77, 279.Google Scholar
Keller, J. J. 1976b Third order resonances in closed tubes. Z. angew. Math. Phys. 27, 303.Google Scholar
Keller, J. J. 1977 Nonlinear acoustic resonances in shock tubes with varying cross-sectional area. Z. angew. Math. Phys. 28, 107.Google Scholar
Seymour, B. R. & Mortell, M. P. 1973 Resonant acoustic oscillations with damping: small rate theory. J. Fluid Mech. 58, 353.Google Scholar