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UNSTEADYAERODYNAMICS, AEROACOUSTICS AND AEROELASTICITYOF TURBOMACHINES Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines Edited by KENNETH C. HALL Duke University, Durham, North Carolina, U.S.A. ROBERTE. KIELB Duke University, Durham, North Carolina, U.S.A. and JEFFREYP. THOMAS Duke University, Durham, North Carolina, U.S.A. AC.I.P. Catalogue record for this book is available from the Library of Congress. ISBN-10 1-4020-4267-1 (HB) ISBN-13 978-1-4020-4267-6 (HB) Published by Springer, P.O. Box 17, 3300 AADordrecht, The Netherlands. www.springer.com Printed on acid-free paper All Rights Reserved © 2006 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands. Contents Preface xi PartI Flutter FlutterBoundariesforPairsofLow PressureTurbineBlades 3 RoqueCorral,NélidaCerezal,andCárlosVasco InfluenceofaVibrationAmplitudeDistributionontheAerodynamic StabilityofaLow-PressureTurbineSectoredVane 17 OlgaV.Chernysheva,TorstenH.Fransson,RobertE.Kielb,andJohnBarter AMethodtoAssessFlutterStabilityofComplexModes 31 AndreaArnone,FrancescoPoli,andClaudiaSchipani FlutterDesignofLowPressure TurbineBladeswithCyclic SymmetricModes 41 RobertKielb,JohnBarter,OlgaChernyshevaandTorstenFransson ExperimentalandNumerical Investigationof2DPalisade FlutterfortheHarmonic Oscillations 53 , VladymirTsimbalyuk,AnatolyZinkovskii,VitalyGnesin RomualdRzadkowski,JacekSokolowski PossibilityofActiveCascadeFlutterControlwithSmartStructure inTransonicFlowCondition 65 JunichiKazawa,andToshinoriWatanabe vi ExperimentalFlutterInvestigationsofanAnnularCompressorCascade: InfluenceofReducedFrequencyonStability 77 JoachimBelzandHolgerHennings PartII ForcedResponse UnsteadyGustResponseintheFrequencyDomain 95 A.Filippone AxialTurbineBladeVibrations InducedbytheStatorFlow 107 M.B.Schmitz,O.Schäfer,J.Szwedowicz,T.Secall-Wimmel,T.P.Sommer MistuningandCouplingEffectsinTurbomachineryBladings 119 GerhardKahl EvaluationofthePrincipleofAerodynamicSuperposition inForcedResponseCalculations 133 StefanSchmitt,DirkNürnberger,VolkerCarstens ComparisonofModelstoPredictLowEngineOrderExcitation ina HighPressure TurbineStage 145 MarkusJöcker,AlexandrosKessar,Torsten H.Fransson,GerhardKahl, Hans-JürgenRehder ExperimentalReductionof TransonicFanForcedResponse byIGVFlowControl 161 S.ToddBailie,WingF.Ng,WilliamW.Copenhaver PartIII MultistageEffects UnsteadyAerodynamicWorkonOscillatingAnnularCascades inCounterRotation 177 M.Namba,K.Nanba StructureofUnsteadyVorticalWakesbehindBladesof Mutual-MovingRowsofanAxialTurbomachine 189 V.E.Saren,S.A.Smirnov Contents vii TheEffectofMachNumberonLPTurbineWake-BladeInteraction 203 M.Vera,H.P.Hodson,R.Vazquez MultistageCouplingforUnsteadyFlowsinTurbomachinery 217 KennethC.Hall,KivancEkiciandDmytroM.Voytovych PartIV Aeroacoustics PassiveNoiseControlbyVaneLean andSweep 233 B.Elhadidi InteractionofAcousticandVorticalDisturbanceswithanAnnularCascade inaSwirlingFlow 247 H.M.Atassi,A.A.Ali,,O.V.Atassi InfluenceofMutual CircumferentialShiftofStatorsontheNoiseGenerated bySystemofRowsStator-Rotor-StatoroftheAxialCompressor 261 D.V.Kovalev,V.E.SarenandR.A.Shipov AFrequency-domainSolverfortheNon-linearPropagationandRadiation ofFanNoise 275 CyrilleBreard PartV FlowInstabilities AnalysisofUnsteadyCasingPressureMeasurementsDuring SurgeandRotatingStall 293 S.J.Anderson(CEng),Dr. N.H.S.Smith(CEng) Core-CompressorRotatingStall SimulationwithaMulti-BladerowModel 313 M.Vahdati,AISayma,MImregun,G.Simpson ParametricStudyofSurfaceRoughnessandWakeUnsteadinessonaFlatPlate withLargePressureGradient 331 X.F.Zhang,H.P.Hodson viii BypassFlowPatternChanges atTurbo-RamTransientOperation ofaCombinedCycleEngine 345 ShinichiTakata,ToshioNagashima,SusumuTeramoto,HidekazuKodama ExperimentalInvestigationofWake-InducedTransitioninaHighlyLoaded LinearCompressorCascade 357 LotharHilgenfeldandMichaelPfitzner ExperimentalOff-DesignInvestigationofUnsteadySecondaryFlow Phenomenaina Three-StageAxialCompressor at100%NominalSpeed 369 AndreasBohne,ReinhardNiehuis AnalysesofURANSandLESCapabilitiestoPredictVortexShedding forRodsandTurbines 381 P.Ferrand,J.Boudet,J.Caro,S.Aubert,C.Rambeau PartVI ComputationalTechniques FrequencyandTimeDomainFluid-StructureCouplingMethods forTurbomachineries 397 Duc-MinhTranandCédricLiauzun StudyofShockMovement andUnsteadyPressureon2DGenericModel 409 DavyAllegret-Bourdon,TorstenH.Fransson NumericalUnsteadyAerodynamicsforTurbomachineryAeroelasticity 423 Anne-SophieRougeault-SensandAlainDugeai DevelopmentofanEfficient andRobustLinearised Navier-StokesFlowSolver 437 PaulPetrie-Repar OptimizedDual-TimeStepping TechniqueforTime-Accurate Navier-StokesCalculations 449 MikhailNyukhtikov,NataliaV.Smelova,BrianE.Mitchell,D.GrahamHolmes Contents ix PartVII ExperimentalUnsteadyAerodynamics ExperimentalandNumericalStudyofNonlinearInteractions inTwo-DimensionalTransonicNozzle Flow 463 OlivierBron,PascalFerrand,andTorstenH.Fransson InteractionBetweenShockWaves andCascadedBlades 483 ShojiroKaji,TakahiroSuzuki,ToshinoriWatanabe MeasuredandCalculatedUnsteadyPressureFieldinaVanelessDiffuser ofaCentrifugalCompressor 493 TeemuTurunen-Saaresti,JaakkoLarjola DPIVMeasurementsoftheFlowFieldbetweenaTransonicRotor andanUpstreamStator 505 StevenE.Gorrell,WilliamW.Copenhaver,JordiEstevadeordal UnsteadyPressureMeasurementwithCorrectiononTubingDistortion 521 H.Yang,D.B.Sims-Williams,andL.He PartVIII Aerothermodynamics Unsteady3DNavier-StokesCalculationofaFilm-CooledTurbineStage withDiscreteCoolingHole 533 Th. Hildebrandt, J. Ettrich, M. Kluge, M. Swoboda, A. Keskin, F. Haselbach, H.-P.Schiffer AnalysisofUnsteadyAerothermodynamicEffectsinaTurbine-Combustor 551 HoriaC.FlitanandPaulG.A.Cizmas,ThomasLippert andDennisBachovchin,DaveLittle PartIX RotorStatorInteraction Stator-RotorAeroelasticInteractionfortheTurbineLastStage in3DTransonicFlow 569 RomualdRzadkowski,VitalyGnesin,LubaKolodyazhnaya x EffectsofStatorClockinginSystemofRowsStator-Rotor-Stator oftheSubsonicAxialCompressor 581 N.M.Savin,V.E.Saren Rotor-StatorInteractioninaHighly-Loaded,Single-Stage, Low-SpeedAxialCompressor:UnsteadyMeasurementsinthe RotorRelativeFrame 603 O.Burkhardt,W.Nitsche,M.Goller,M.Swoboda,V.Guemmer, H.Rohkamm,andG.Kosyna Two-StageTurbineExperimental InvestigationsofUnsteady Stator-to-StatorInteraction 615 Jan Krysinski, Robert BlaszczakJaroslaw, AntoniSmolny Preface Over the past 30 years, leading experts in turbomachinery unsteady aerodynamics, aeroa- coustics, and aeroelasticity from around the world have gathered to present and discuss recent advancements in the field. The first International Symposium on Unsteady Aerody- namics,Aeroacoustics,andAeroelasticityofTurbomachines(ISUAAAT)washeldinParis, Francein1976. Sincethen,thesymposiumhasbeenheldinLausanne,Switzerland(1980), Cambridge,England(1984),Aachen,Germany(1987),Beijing,China(1989),NotreDame, Indiana(1991),Fukuoka,Japan(1994),Stockholm,Sweden(1997),andLyon,France(2000). TheTenthISUAAATwasheldSeptember7-11,2003atDukeUniversityinDurham,North Carolina. Thisvolumecontainsanarchivalrecordofthepaperspresentedatthatmeeting. The ISUAAAT, held roughly every three years, is the premier meeting of specialists in turbomachinery aeroelasticity and unsteady aerodynamics. The Tenth ISUAAAT, like its predecessors,providedaforumforthepresentationofleading–edgeworkinturbomachinery aeromechanics and aeroacoustics of turbomachinery. Not surprisingly, with the continued development of both computer algorithms and computer hardware, the meeting featured a number of papers detailing computational methods for predicting unsteady flows and the resulting aerodynamics loads. In addition, a number of papers describing interesting and very useful experimental studies were presented. In all, 44 papers from the meeting are publishedinthisvolume. TheTenthISUAAATwouldnothavebeenpossiblewithoutthegenerousfinancialsupport ofanumberoforganizationsincludingGEAircraftEngines, Rolls-Royce, PrattandWhit- ney, Siemens-Westinghouse, Honeywell, the U.S. Air Forces Research Laboratory, the Lord FoundationofNorthCarolina,andthePrattSchoolofEngineeringatDukeUniversity. The organizersoffertheirsincerethanksforthefinancialsupportprovidedbytheseinstitutions. WewouldalsoliketothanktheInternationalScientificCommitteeoftheISUAAATforse- lectingDukeUniversitytohostthesymposium,andfortheirassistanceinitsorganization. Finally, theorganizersthankLoraineAshleyoftheDepartmentofMechanicalEngineering andMaterialsScienceforherHerculeaneffortsorganizingthelogistics,communications,and financesrequiredtohosttheconference. TheEleventhISUAAATwillbeheldinMoscow, Russia, September4–8, 2006, andwillbe hostedbytheCentralInstituteofAviationMotors. Dr. ViktorSaren,thehostingmember oftheInternationalScientificCommittee,willserveasdeputychairofthesymposium; Dr. VladimirSkibin,theGeneralDirectorofCIAM,willserveaschair. KennethC.Hall RobertE.Kielb JeffreyP.Thomas DepartmentofMechanicalEngineeringandMaterialsScience PrattSchoolofEngineeering

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Numerical Unsteady Aerodynamics for Turbomachinery Aeroelasticity . of the reference airfoil and the center of torsion of the fundamental node is . Sayma, A.I., Vahdati M., Green, J.S., and Imregun, M., “Whole-Assembly Flutter
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