A systematic impedance model for non-linear Helmholtz resonator liner

D.K. Singh, S.W. Rienstra

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review


The usual non-linear corrections for a Helmholtz resonator type impedance do not seem to be based on a systematic asymptotic solution of the pertaining equations. We aim to present a systematic derivation of a solution of the non-linear Helmholtz resonator equation, in order to obtain analytically expressions for impedances close to resonance, while including non-linear effects. The amplitude regime considered is such that when we stay away from the resonance condition, the non-linear terms are relatively small and the solution obtained is of the linear equation (formed after neglecting the non-linear terms). Close to the resonance frequency, the non-linear terms can no longer be neglected and algebraic equations are obtained that describe the corresponding non-linear impedance.
Originele taal-2Engels
Titel19th AIAA/CEAS Aeroacoustics Conference (Berlin, Germany, May 27-29, 2013)
Plaats van productieReston
UitgeverijAmerican Institute of Aeronautics and Astronautics Inc. (AIAA)
Aantal pagina's12
ISBN van geprinte versie978-1-62410-213-4
StatusGepubliceerd - 2013
Evenement19th AIAA/CEAS Aeroacoustics Conference - Berlin, Duitsland
Duur: 27 mei 201329 mei 2013


Congres19th AIAA/CEAS Aeroacoustics Conference


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