:2005-06-20:“”(2002AA601270);(042312067);: (1975-),,,.E-mail:quqiang@mail.tongji.edu.cn屈 强,马鲁铭,王红武(, 200092):k-ε(-),.RNG()k-εMixture(),.:,20%.,1.2m,,,0.1m..:;;:X703.1 :A :0253-374X(2006)09-1212-05Solid-LiquidTwo-PhaseFlowSimulationinaCircularSecondaryClarifierQUQiang,MALuming,WANGHongwu(StateKeyLaboratoryofPollutionControlandResourceReuse,TongjiUniversity,Shanghai200092,China)Abstract:Conventionalmethodswhichadoptsstandardk-εmodeltosimulatetwo-phaseflowinasecondaryclarifierleadtoinaccurateresults.Inthispaper,theimprovedRNGk-εtwo-equationmodelandthesimplifiedmultiphaseMixturemodelareusedtosimulatethefluidvelocitydistributionandsludgevolumefractioninacircularclarifier.Resultsindicatethattwodeadzones,whichoccupy20%oftheclarifier'svolume,existinthesurfaceandbottom.Compressioninterfaceandobvioushorizontalsludge-waterinterfacewhichis1.2mbelowwatersurfacearefound;themajorpartofthesludgeblanketislamellazone.Thebottomofthesludgeisacompressionalzonewithhighsludgeconcentra-tionandthethicknessisnotmorethan0.1m.Dataareingoodagreementwithrealresults.Keywords:circularclarifier;two-phaseflow,numericalsimulation ,,.Anderson[1,2]:、、,,,.Krebs[3,4][5]k-ε[6,7],.34920069()JOURNALOFTONGJIUNIVERSITY(NATURALSCIENCE)Vol.34No.9 Sep.2006[8,9].,k-ε,、、,,[10].,k-ε,RNGk-ε.,,.,RNGk-εMixture,.1 ,,,,、.,[11].Mixture,,、,.,[12].Mixturet(ρk)+Δ(ρmvm)=m·(1)vm=∑nk=1αkρkvkρm(2)ρm=∑nk=1αkρk(3)(1)~(3):ρkk;ρm,vm;vkk;αkk;m·.Mixture, t(ρmvm)+Δ(ρmvmvm)=-Δp+ Δ[μm(Δvm+vTm)]+ρmg+F+ Δ∑nk=1αkρkvdr,rvdr,k(4):n;F;g;μm,μm=∑nk=1αkμk(5) vdr,kk,vdr,k=vk+vm(6) pqvqp=vp-vq(7) vdr,p=vqp-∑nk=1αkρkρmvqk(8) pt(αpρp)+Δ(αpρpvm)=-Δ(αpρpvdr,p)(9) ,,k-ε,.k-ε,,、,k-ε,RNGk-ε[13],,,.,kεuikxi=xiμ+μtσkkxi+Pk-ε(10)uiεxi=xiμ+μtσεεxi+ Cε1εkPk-Cε2ε2k(11):μ;μt;Pk=μtuixjuixj+ujxi;σk=0.7179;σε=0.7179;Cε1=1.42-η(1-η/η0)1+βη3,η=Sk/ε,S=(Sij,Sij)1/2,Sij=12uixj+ujxi,η0=4.38,β=0.012~0.015;Cε2=1.68.1213 9 ,: ,RNGk-εk-ε.2 4.0m,2.0m,,,,,,[4].,1.R,Q.1 Fig.1 Geometryofcirculartank 3.4kg·m-3,0.86,1.9cm·s-1,,,,,[15].,,,,.,Simplec,、、Quick,24417,FLUENT6.1.,,,,,,,,.3 2,.3,.2 Fig.2 Sludgeconcentrationfieldincircularclarifier3 Fig.3 Streamlinesincircularclarifier 4,4a~f3,6,9,12,15,18m.2,,1.2m,,,,,,,0.1m,,,,[16],[17].3,1,20%,,,1214 ()34 .,.4,,,,,;.3m,,6m9m,,,,,.4 Fig.4 Velocitydistributionincircularclarifier4 RNGk-εMixture,Simplec,Fluent6.1,.:,,,,.,,.:[1] AndersonNE.Designofsettlingtanksforactivatedsludge[J].SewageWorksJournal,1945,17(1):50.[2] BretscherU,KrebsP,HagerWH.Improvementofflowinfinalsettlingtanks[J].JournalofEnvironmentalEngineering,ASCE,1992,118(3):307.[3] KrebsP,ArmbrusterM,RodiW.Laboratoryexperimentsofbuoyancy-influencedflowinclarifiers[J].JournalofHydraulic Research,1998,36(5):831.[4] KrebsP,StamouAI,Garcia-Heras.Influenceofinletandoutletconfigurationontheflowsecondaryclarifiers[J].WaterScienceandTechnology,1996,34(5-6):1.[5] LynDA,StamouAI,RodiW.Densitycurrentsandshear-inducedflocculationinsedimentationtanks[J].JournalofHy-draulicEngineering,1992,118(6):849.[6] TakacsI,PatryG,NlascoD.Adynamicmodeloftheclarification-thickeningprocess[J].WaterResearch,1991,25(10):1263.[7] ZhouS,McCorquodaleJA.Modelingofrectangularsettlingtanks[J].JournalofHydraulicEngineering,1992,118(10):1391.[8] ,,,.[J].,2002,22(4):338. ZENGGuangming,GEWeihua,QINXiaosheng.Numericalsim-ulationofcurrentandsolidsinsecondarysedimentationtanksinwastewatertreatmentplant[J].ChinaEnvironmentalScience,2002,22(4):338.[9] ,,,.[J].,2002,20(4):10. ZENGGuangming,GEWeihua,QINXiaosheng.Applicationofnumericalsimulationinsecondarysedimentationtankdesign[J].EnvironmentalEngineering,2002,20(4):10.[10] .[M].:,2002. ZHOULixing.Fluiddynamicsofmultiphaseturbulencereaction[M].Beijing:DefenseIndustryPress,2002.[11] ,.-[J].,2001,52(1):1.1215 9 ,: ZHANGZheng,XIEZhuoli.Numericalsimulationoffluid-solidtwophaseflow[J].ChemicalEngineeringJournal,2001,52(1):1.[12] FluentInc.Fluentdocumentation[R].[s.l.]:FluentInc,2003.[13] YakhotV,SmithLM.Therenormalizationgroup———theex-pansionandderivationofturbulencemodels[J].JournalofSci-enceComputing,1992,7(1):31.[14] DjamelLakehal,PetrKrebs.Computingshearflowandsludgeblanketinsecondaryclarifiers[J].JournalofHydraulicEngi-neerlng,1999,125(3):253.[15] LaunderBE,SpaldingDB.Thenumericalcomputationoftur-bulentflows[J].ComputerMethodsinAppliedMechanicsandEngineering,1974(3):269.[16] ,.[M].:,1999. GAOTingyao,GUGuowei.Waterpollutioncontrolengineering[M].Beijing:HigherEducationPress,1999.[17] ,.[J].,1988,4(2):16. MALuming,GAOTingyao.OperatingmodeinvestigationofsecondarysedimentationtanksinShanghaimunicipalwastewaterplants[J].ChinaWaterandWastewater,1988,4(2):16.(编辑:张 弘)(1169)[3] ,.[J].,1999,17(6):180. YUWeizhong,WANGGaoming.Corrosioninvestigationandre-pairofhydraulicreinforceconcretestructureinamarineenviron-ment[J].Hydro-ScienceResearch,1999,17(6):180.[4] ,.[J].,2000,25(5):27. YANGHuashu,CHUFutao.Debatingabouttwoelementalproblemsofagingevaluationofhydraulicconcreteconstruction[J].JournalofKunmingUniversityofScienceandTechnology,2000,25(5):27.[5] ,.[J].,2002,18(2):1. YANGLinde,GA