Fluent环境中近壁面微空泡溃灭的仿真计算-李疆

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284Vol.28 No.420087TribologyJuly2008Fluent李 疆1,陈皓生2(1., 100083;2., 100084):FLUENT,VOFNavier-Stokes,,.:,,,;FLUENT,.:;;(CFD);:TH117;O353.4:A:1004-0595(2008)04-0311-05  Reyleigh1917[1],[2~4][5~7].,[8~12].Navier-Stokes,VolumeofFluid(VOF)-.[9~13],[9~13],.FLUENT,.FLUENT,、N-S,VOF,.1 ,.:1,.,,1.013×105Pa,.,,.1   Fig1 Modelandmeshforthecalculation1 .,,1/2.5mm,,R,H.(1);(2),Fluent“Oper-atingcondition”;(3);(4),:(106018);(50505020).:2007-10-24;:2008-01-28/,e-mail:lijiang01@tsinghua.org.cn:,,1976,,,MEMS.DOI:10.16078/j.tribology.2008.04.003[6,10],Δp,(“Region”).Δp=p∞-pv,u0=Δp/ρ,p∞=1.01×105Pa,,pv,2.34×103Pa;ρ=1.0×103kg/m3,.Δp1.0×105Pa,u010m/s.,1,Rayleigh-Plesset[1,6].,,,,、.,.,[6],.5:,u=0,v/x=0(u,vx,y);,u=0,v=0;BA,v/n=0,v/n=0(n),,pn=pv.,,1~11,0.5μm×0.5μm,9300.2 :ρt+·(ρu)=0(1)Navier-Stokes:ut+(u·)u=-1ρP+γ2u(2):u,γ.:VolumeofFluid(VOF),1,αq,:t(αqρq)+·(αqρqυ)=0(3)∑2q=1αq=1(4):q,ρv.(1~4).FLUENT,,.PRESTO!,-PISO.1×10-8s,.3 FLUENT,、.3.1 VOFαq,-.0.5,0.5.2   Fig2 Theshapevariationofthebubbleincollapseprocess2 ,100μm,100μm.2,,,.,.2,Plesset[6],,.,.32Y.,200m/s.312    28   Fig3 Thevelocitydistributionontheaxisofthejet3 ,2.5m/s.,.3.2 100μm,0μm、10μm、50μm100μm.,,4,4,.4(ab)100μm10μm,41.,,.100μm1%,10μm,.,,   1 Table1 TheeffectofthedistancebetweenthebubbleandthewallonthejetvelocityH/μmvmax/(m·s-1)vwall/(m·s-1)1001892.55019533102041890201201.,,,,,,.4,,10%.,,.3.3 ,[5]:pWH=ρLcLvρscsρLcL+ρscs(5):Ls,ρ,c,v.,:pWH≈ρLcLv(6)H=50μm,v=33m/s,ρL=1.0×103kg/m3,cL=1500m/s.3134 : FluentpWH=5.12×107Pa.5,   Fig5 Pressurecausedbythejet5 .,,,1.1μs,,.,.,H=10μm,3.0×108Pa.,[7].:,.4 a. FLUENT,VOF-.,.b. ,,.,.:[1] RayleighL.Onthepressuredevelopedinaliquidduringthecol-lapseofasphericalcavity[J].PhilMag,1917,34:94-98.[2] KlingCL.Ahighspeedphotographicstudyofcavitationbubblecollapse[D].UniversityofMichigan,1970.[3] ShutlerND,MeslerRB.Aphotographicstudyofthedynamicsanddamagecapabilitiesofbubblescollapsingnearsolidboundaries[J].TransactionofASME,JBasicEngr,1965,87:511-517.[4] BergantaA,SimpsonbAR,TijsselingcAS.Waterhammerwithcolumnseparation:Ahistoricalreview[J].JournalofFluidsandStructures,2006,22:135-171.[5] YehHC,YangWJ.Dynamicsofbubblesmovinginliquidswithpressuregradient[J].JApplPhys,1968,19:3156-3165.[6] PlessetMS,ChapmanRB.Collapseofaninitiallysphericalva-porcavityintheneighborhoodofasolidboundary[J].JFluidMech.,1971,47:283.[7] ,,.[J].(),2006,1:52-53.LiW,XiongCK,YanL.Analysisofthecentermovingpathofasphericalbubblebrokenneararigidwall[J].JournalofXihuaU-niversity(NaturalScienceEdition),2006,1:52-53.[8] HammittFG.Cavitationandmultiphaseflowphenomena[M].USA:McGraw-HillInc,1980.241.[9] .[M].:,1991.[10] ,,.[J].,2004,21:22-25.HuYY,ZhuKQ,XiBS.Numericalstudyofcaviationerosiononarigidwall[J].ChineseJournalofAppliedMechanics,2004,21:22-25.[11] ,.[J].,1990,5:108-119.LuL,XuXQ.Numericalinvestigationofbubblecollapseneararigidboundaryinsolid-liquidtwo-phasefluid[J].JournalofHy-drodynamics,1990,5:108-119.[12] ,,.[J].A,2004,3:.310-315.HuYY,ZhuKQ,XiBS.Numericalsimulationofthecollapseofabubbleneartherigidwall[J].JournalofHydrodynamics,2004,3:.310-315.[13] YingCF,AnL.Hightemperatureandhighpressuredistributioningasbubblesgeneratedbysoundcavitation[J].ScienceinChi-na,seriesA,2002,32(4):305-313.314    28NumericalSimulationofMicroBubbleCollapseNearSolidWallinFluentEnvironmentLIJiang1,CHENHao-sheng2(1.MechanicalEngineeringSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China;2.StateKeyLaboratoryofTribology,TsinghuaUniversity,Beijing100084,China)Abstract:VolumeofFluid(VOF)modelandunsteadymethodwereusedtosolvetheNavier-StolesequationtosimulatethebubblecollapseprocessusingFLUENTsoftware.Thesimulationresultsshowthattheasymmetriccol-lapseoccuredonthesphericalbubblenearasolidwall.Thefollowingmicrojetthencausedhighpressuredomainonthesolidwalltoinducethecavitationerosionbasedonthewaterhammertheory.Thedistancebetweenthebub-bleandthesolidwallwasalsoprovedtoplayimportantroleintheerosion.Thenumericalresultscopedwiththeexistedexperimentalandnumericalresults,andthissoftwareprovidedaplatformforthenumericalcalculationoncavitationerosion.Keywords:cavitation,cavitationerosion,computationalfluiddynamics(CFD),jetstreamAuthor:LIJiang,female,bornin1976,Ph.D.,e-mail:lijiang01@tsinghua.org.cn3154 : Fluent

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