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1、StabilityAnalysisofaCoupledHelmholtzResonatorwithLargeEddySimulationBal´azsPritz1,FrancoMagagnato2,andMartinGabi31DepartmentofFluidMachinery,UniversityofKarlsruhe,76128Karlsruhe,Germanypritz@ism.uka.de2DepartmentofFluidMachinery,UniversityofKarlsruhe,76128Karl
2、sruhe,Germanymagagnato@ism.uka.de3DepartmentofFluidMachinery,UniversityofKarlsruhe,76128Karlsruhe,Germanygabi@ism.uka.deSummary.LeanPremixedcombustion,whichallowsforreducingtheproductionofthermalNOx,ispronetocombustioninstabilities.Thereisanextensiveresearchto
3、developareducedphysicalmodel,whichallows-withouttime-consumingmeasure-ments-tocalculatetheresonancecharacteristicsofacombustionsystemconsist-ingofHelmholtz-resonator-typecomponents(burnerplenum,combustionchamber).Fortheformulationofthismodelnumericalinvestigat
4、ionsbymeansofcompress-ibleLargeEddySimulation(LES)arecarriedout.Intheseinvestigationstheflowinthecombustionchamberisisotherm,non-reactingandexcitedwithasinusoidalmassflowrate.Theforegoinginvestigationsconcentratedonthesinglecombustionchamberasasingleresonator.In
5、thispapertheresultsofthenumericalinvestigationsofacoupledsystemwillbepresented.Thereducedphysicalmodelwasextendedforthecoupledsystemofburnerandcombustionchamber.Bymeansofnumericalsimulationandthephysicalmodeltheresonancecharacteristicsofacombustionsystemcanbep
6、redictedalreadyduringthedesignphase.Inordertopredicttheresonantcharacteristicsofthecoupledsystemandtoprovideaninsightintotheflowmechanics10compressibleLESwerecarriedout.Theresultsareinverygoodagreementwiththeexperimentalinvestigations.1IntroductionItiswellknown
7、thatinordertofulfilthestringentdemandsforlowemis-sionsofNOx,theleanpremixedcombustionconceptiscommonlyused.How-ever,leanpremixedcombustorsaresusceptibletothermoacousticinstabilitiesdrivenbythecombustionprocessandpossiblysustainedbyaresonantfeed-backmechanismcou
8、plingpressureandheatrelease[1,2].ThisresonantfeedbackmechanismcreatespulsationstypicallyinthefrequencyrangeofseveralhundredHzandwhichreachhighamplitudessothatthesystemhastobeW.E.Na
