Weakly nonlinear analysis of thermoacoustic instabilities in annular combustors

dc.contributor.authorGhirardo, G.
dc.contributor.authorJuniper, M. P.
dc.contributor.authorMoeck, Jonas P.
dc.date.accessioned2017-10-27T12:54:57Z
dc.date.available2017-10-27T12:54:57Z
dc.date.issued2016
dc.descriptionDieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.de
dc.descriptionThis publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.en
dc.description.abstractRotationally symmetric annular combustors are of practical importance because they generically resemble combustion chambers in gas turbines, in which thermoacoustically driven oscillations are a major concern. We focus on azimuthal thermoacoustic oscillations and model the fluctuating heat release rate as being dependent only on the local pressure in the combustion chamber. We study the dynamics of the annular combustor with a finite number of compact flames equispaced around the annulus, and characterize the flames’ response with a describing function. We discuss the existence, amplitude and the stability of standing and spinning waves, as a function of: (i) the number of the burners; (ii) the acoustic damping in the chamber; (iii) the flame response. We present the implications for industrial applications and the future direction of investigations. We then present as an example the first theoretical study of thermoacoustic triggering in annular combustors, which shows that rotationally symmetric annular chambers that are thermoacoustically unstable do not experience only stable spinning solutions, but can also experience stable standing solutions. We finally test the theory on one experiment with good agreement.en
dc.identifier.eissn1469-7645
dc.identifier.issn0022-1120
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/7070
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-6379
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc530 Physik
dc.subject.otheracousticsen
dc.subject.otherlow-dimensional modelsen
dc.subject.othernonlinear dynamical systemsen
dc.titleWeakly nonlinear analysis of thermoacoustic instabilities in annular combustorsen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.doi10.1017/jfm.2016.494
dcterms.bibliographicCitation.journaltitleJournal of fluid mechanics
dcterms.bibliographicCitation.originalpublishernameCambridge University Press
dcterms.bibliographicCitation.originalpublisherplaceCambridge
dcterms.bibliographicCitation.pageend87
dcterms.bibliographicCitation.pagestart52
dcterms.bibliographicCitation.volume805
tub.accessrights.dnbdomain
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Strömungsmechanik und Technische Akustik (ISTA)::FG Experimentelle Strömungsmechanikde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Experimentelle Strömungsmechanikde
tub.affiliation.instituteInst. Strömungsmechanik und Technische Akustik (ISTA)de
tub.publisher.universityorinstitutionTechnische Universität Berlin

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