A systematic impedance model for non-linear Helmholtz resonator liner

D.K. Singh, S.W. Rienstra

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

5 Citations (Scopus)

Abstract

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.
Original languageEnglish
Title of host publication19th AIAA/CEAS Aeroacoustics Conference (Berlin, Germany, May 27-29, 2013)
Place of PublicationReston
PublisherAmerican Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages12
ISBN (Print)978-1-62410-213-4
DOIs
Publication statusPublished - 2013
Event19th AIAA/CEAS Aeroacoustics Conference - Berlin, Germany
Duration: 27 May 201329 May 2013

Conference

Conference19th AIAA/CEAS Aeroacoustics Conference
CountryGermany
CityBerlin
Period27/05/1329/05/13

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