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Nonlinearity of Helmholtz resonatorsConsideration of the nonlinear damping of pressure oscillations by means of acoustic liners consisting of a perforated plate communicating with a volume or of individual Helmholtz resonators. A nonlinear analysis leads to a modified first-order theory; in particular, some second-order damping effects (due to the formation of jets through the orifices) are considered, while other less important damping effects (of second order) are neglected. The effect of the vena contracta in the orifice flow is also taken into account, and the conditions of maximum damping are discussed. A determination is made of the orifice velocity, the cavity pressure, the admittance coefficient, the resistance, and the reactance, and good agreement is found between the theoretically determined resistance and orifice velocity and the pertinent experimental data.
Document ID
19730032467
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Sirignano, W. A.
(Princeton University Princeton, N.J., United States)
Date Acquired
August 7, 2013
Publication Date
August 1, 1972
Subject Category
Physics, General
Accession Number
73A17269
Funding Number(s)
CONTRACT_GRANT: NASR-217
Distribution Limits
Public
Copyright
Other

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