Show simple item record

dc.contributor.authorKashinath, Karthiken
dc.contributor.authorWaugh, Iain Cen
dc.contributor.authorJuniper, Matthewen
dc.date.accessioned2014-10-17T09:11:11Z
dc.date.available2014-10-17T09:11:11Z
dc.date.issued2014-11-25en
dc.identifier.citationJournal of Fluid Mechanics Volume 761, December 2014, pp 399- 430. DOI: http://dx.doi.org/10.1017/jfm.2014.601en
dc.identifier.issn0022-1120
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/246189
dc.description.abstractThermoacoustic systems can oscillate self-excitedly, and often non-periodically, due to coupling between unsteady heat release and acoustic waves. We study a slot-stabilized two-dimensional premixed flame in a duct via numerical simulations of a G-equation flame coupled with duct acoustics. We examine the bifurcations and routes to chaos for three control parameters: i) the flame position in the duct, ii) the length of the duct, and iii) the mean flow velocity. We observe period-1, period-2, quasi-periodic and chaotic oscillations. For certain parameter ranges, more than one stable state exists, so mode switching is possible. At intermediate times, the system is attracted to and repelled from unstable states, which are also identified. Two routes to chaos are established for this system: the period-doubling route and the Ruelle-Takens-Newhouse route. These are corroborated by analyses of the power spectra of the acoustic velocity. Instantaneous flame images reveal that the wrinkles on the flame surface and pinch off of flame pockets are regular for periodic oscillations, while they are irregular and have multiple time and length scales for quasiperiodic and aperiodic oscillations. This study complements recent experiments by providing a reduced order model of a system with approximately 5000 degrees of freedom that captures much of the elaborate nonlinear behaviour of ducted premixed flames observed in the laboratory.
dc.languageEnglishen
dc.language.isoenen
dc.publisherCUP
dc.titleNonlinear self-excited thermoacoustic oscillations of a ducted premixed flame: bifurcations and routes to chaosen
dc.typeArticle
dc.description.versionThis is the author's accepted manuscript. The final version is available from CUP in the Journal of Fluid Mechanics at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9441088&fulltextType=RA&fileId=S0022112014006016en
prism.endingPage430
prism.publicationDate2014en
prism.publicationNameJournal of Fluid Mechanicsen
prism.startingPage399
prism.volume761en
dc.rioxxterms.funderEPSRC
dc.rioxxterms.funderERC
dc.rioxxterms.projectidDorothy Hodgkin Postgraduate Award
dc.rioxxterms.projectidALORS 2590620,
rioxxterms.versionofrecord10.1017/jfm.2014.601en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2014-11-25en
dc.contributor.orcidJuniper, Matthew [0000-0002-8742-9541]
dc.identifier.eissn1469-7645
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/H050310/1)


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record