搜索
24920099JournalofAerospacePowerVol.24No.9Sep.2009:100028055(2009)0922115207,(,100084):,,LU2SGS2GEMUSCLTVD,Jameson.,.,,,.:;;;:V23113:A:2008208230;:2008211204:(50676043);(2007CB210108):(1981-),,,,.NumericalsimulationagainstunsteadyflowfromcavityleakageofturbomachinerystageLEIYun2tao,YUANXin(KeyLaoratoryforThermalScienceandPowerEngineeringofMinistryofEducation,SchoolofMechanicalEngineering,TsinghuaUniversity,Beijing100084,China)Abstract:Anunsteadynumericalsimulationwasperformedfortheeffectoftheun2steadyflowfromthecavityleakageontheturbinestage.LU2SGS2GE(loweruppersymmet2ricGaussSeidelGaussianeliminationmethod)implicitschemeandhighprecisionhighresolu2tionMUSCLTVD(monotoneupstream2centredschemeforconservationlaws,total2varia2tion2diminishing)schemewereusedtosolve32DNavier2Stokesequations.Thedual2timestepimplicitschemewasusedforunsteadycalculation.Theresultsshowthatthepatchofthecavityleakagethroughtherotorpassageismovedclosetothesuctionsurfaceowingtotheeffectofthesecondaryflow.Asthepathisconvecteddownstream,itmigratesradiallytowardsmidspan.Withtheleakageflowenteringintotherotor,thereismoreunsteadinessontherootoftherotorthanthatofthemid2span,andtheunsteadinessbecomesweakastheleakageflowmigratesdownstream.Keywords:cavityleakage;unsteadyflow;numericalsimulation;dual2timestepmethod,,1800K,.,.,,,.,,24.,.,,Lindqvist[1],.McLean[223],,(1%).Roy[4],.,Weber[5]1,.Yang[6]Fluent121/2,,,.Ong[7]DentonTBLOCK.,,.1111i,ReynoldsNavier2Stokes,5Q^5t+5F^i5i+1ReD^+S^=0Q^,F^i,D^,S^,.Q^=Ju1u2u3Er;1;2F^i=JUiu1Ui+i,1pu2Ui+i,2pu3Ui+i,3pHrUi;1Ui;2UiD^=-55iJi,j0j1j2j3jkuk-qj¢j(;1)¢j(;2)S^=-J00(x2+2u3)(x3-2u2)0S;1S;2;u1,u2,u33;Er,Hr;J=5(x1,x2,x3)/5(1,2,3)Jacobian;i,j=5i/5xj;Ui=i,juj.Re,.Jones2LaunderChienk2,Wilcoxk2Coakley[8]q2,k2SST,[9],q2,,,Coakleyq2.LU2SGS2GE(loweruppersymmetricGaussSeidelGaussianelimina2tionmethod)[10]MUSCLTVD(Monotoneupstream2centredschemeforconservationlaws,total2variation2diminish2ing)[11].Jameson[12],200.112.,,.,.,.32,72,61129:12.1mm,1119mm,24mm,1.1Fig.1Sketchmapofthecavityleakageinturbinestage,.H2O,7,O,,,H,17,110.2.2Fig.2Calculationgridoftheturbinestage,,,,960r/min.,,,.6%,.,,,,.100K.23,t/T=0,t/T=110,.3Fig.3Relativepositionofvaneandrotorinaperiod,4,t/T=1/4,2/4,3/4,4/4.5,4.Cx,20%,45%,75%100%4,E2E.45A2A:Cx=20%,B2B:Cx=45%,C2C:Cx=75%,D2D:Cx=100%,E2E:Fig.4Relativepositionof5slicesoftherotorhubA2A:Cx=20%,B2B:Cx=45%,C2C:Cx=75%,D2D:Cx=100%,E2E:sliceofmeridianplane5.T0relt,T0c,A2A,B2B,C2CD2D(4),P,S.5.,,,711224.,,,.,.,,.,,,,.6.Ts,Tref,,E2E,4.6,.,.,,81129:,.E2E,6,.7(67Fig.7Axialvelocityprofileatthevaneexitonmeridiansurface),8(6).UX,Uav,Ht,0.7,,t/T=2/4t/T=3/4,,.,,.,8,t/T=2/4t/T=3/4.Ht5%,,.6,t/T=2/4,t/T=3/4.9111250%(2).pref,.9,,.1011,,,,91122411250%Fig.11Staticpressureonthesurfaceoftherotor2at50%span.12131210%.10%,50%,4/5.50%,,10%,,,,,.,,,1213,1/5,.12110%Fig.12Staticpressureonthesurfaceoftherotor1at10%span13210%Fig.13Staticpressureonthesurfaceoftherotor2at10%span14.X,l,,X/l=0194.14,.,,,.,,,.14Fig.14Circumferentiallyaveragedtemperaturecurveontherotorplatformforvarioustimephasesandtimeaverage3,LU202129:SGS2GE,MUSCL2TVDJameson,,,:,,.,,,,.,,,.,,,.,.:[1]LindqvistLO,WickholmJE,FranssonTH,etal.In2vestigationofthespanwisetransportoftherotor2statorslotflowinatestturbine[R].ASMEGT2000204851[2]McleanC,CamciG,GlezerB.Mainstreamaerodynamiceffectsduetowheelspacecoolantinjectioninahighpres2sureturbinestage:Part-Aerodynamicmeasurementsinthestationaryframe[J].ASMEJournalofTurbomach2inery,2001,123:68726961[3]McleanC,CamciG,GlezerB.Mainstreamaerodynamiceffectsduetowheelspacecoolantinjectioninahighpres2sureturbinestage:Part-Aerodynamicmeasurementsintherotationalframe[J].ASMEJournalofTurbomach2inery,2001,123:69727031[4]RoyRP,XuG,FengJ,etal.Pressurefieldandmain2streamgasingestioninarotor2statordiskcavity[R].ASMEGT200120564.[5]WeberKF.Time2dependentanalysisofleakagefloweffectsinaresearchturbine[R].AIAA2002236401[6]YangH,ChenHC,HanJC.Numericalstudyofarota2tingbladeplatformwithfilmcoolingfromcavitypurgeflowina121/2turbinestage[R].ASMEGT20062903221[7]OngJHP,MillerRJ,UchidaS.Theeffectofcoolantinjectionontheendwallflowofahighpressureturbine[R].ASMEGT20062910601[8]CoakleyTJ,HuangPG.Turbulencemodelingforhighspeedflows[R].AIAA92204361[9].[J].,1998,19(4):4724321YUANXin.Selectionoftwo2equationturbulencemodelforcompressibleviscousflow[J].JournalofEngineeringThermophysics,1998,19(4):42724321(inChinese)[10]YuanX,DaigujiH.Aspeciallycombinedlower2upperfactoredimplicitschemeforthree2dimensionalcompressi2bleNavier2Stokesequations[J].ComputersandFluids,2001,30(3):33923631[11]DaigujiH,YuanX,YamamotoS.Stabilizationofhigher2orderhighresolutionschemesforthecompressiblenavier2stokesequations[J].Int.J.NumericalMethodsforHeatandFluidFlow,1997,7(2/3):25022741[12]JamesonA.Timedependentcalculationusingmultigridwithapplicationstounsteadyflowspastairfoilsandwings[R].AIAA9121596.1212