宏觀偏析模型及其計(jì)算課件

功社宋科技古學(xué)宏觀偏析模型及其計(jì)算功社宋科技古學(xué)1社宋科枝六學(xué)目錄≥宏觀偏析模型背景Muti-domainmodel偏析模型Continuummixturemode偏析模型Volumeaveragedmodel偏析模型冫THERCAST偏析計(jì)算軟件簡(jiǎn)介T(mén)HERCAST偏析計(jì)算-末端壓下社宋科枝六學(xué)2宏觀偏析模型及其計(jì)算課件3宏觀偏析模型及其計(jì)算課件4宏觀偏析模型背景杜杰營(yíng)S.PoirierandM.C.FlemingsTrans.Met.Soc.AIME.1966.vol.236pp1157-165M.CFlemingsandGENereo:domainModelAME,1967vol.239pp1449-1461M.CFlemings,RMehrabianandG1981ENereo:Trans.TMS-AIME,1968vol242,pp.41-49M.CFlemingsandGENere19601970RMehrabian,M.AKeaneandM.C.gs:Metall.Trans.,1970,vol11)calculatingthepressure,velocityandfractionofliquidinthemushyzone,2)calculatingthenaturalconvectioninthebulkliquidSKou,DR.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-719T.Fujii,D.R.PoirierandM.CFlemingsMacrosegregationinamulticomowalloysteel.Metall.Trans.B,10B,331339.1979宏觀偏析模型背景杜杰營(yíng)5宏觀偏析模型背景杜杰營(yíng)T.S.PoirierandM.C.Flemingns.Met.Soc.AIME1966,vol.236.Muti1157-1165M.CFlemingsandG.E.NereodomainModelME1967Vol.239,pp.1449-14611981Macrosegregationiscausedbysolutetransportprimarilydutotheflowofsegregatedliquidinthemushyzone,whichis1987aresultofbuoyancyforcesduetothermalgradients(thermalnaturalconvection),buoyancyforcesduetoconcentrationgra-dients(solutalnaturalconvection),densitydifferencesbetweenthetwophases(solidificationshrinkage),andinletflow(bulkconvection).Exceptforshrinkage-inducedflow,theflowintheContinuumpp.1209-1220xturRMehrabian.M.A.KeaneandM.CModeFlemings:Metall.Trans.,1970,vol1pp.3238-3241SKou,D.R.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-71T.Fujii,D.R.PoirierandM.CFlemingsMacrosegregationinamulticomponentowalloysteel.Metall.Trans.B,10B,331339.1979宏觀偏析模型背景杜杰營(yíng)6宏觀偏析模型背景杜杰營(yíng)T.S.PoirierandM.CFlemingsTrans.Met.Soc.AIME.1966.voL,236pp1157-1165M.CFlemingsandGENereo:domainModelAME,1967ol239pp1449-1461M.CFlemings,RMehrabianandG1981ENereo:Trans.TMS-AIME,1968vol242,pp.41-491988M.CFlemingsandGENere1987Trans.TMS-AIME.1968.voL.2421960y1970RMehrabian,M.A.KeaneandM.C.Flemings:Metall.Trans.1970,vol1ContinuumVolumepp.1209-1220xturaveragedRMehrabian,M.AKeaneandM.C.ModeFlemings:Metall.Trans.,1970,vol1,pp3238-3241SKou,DR.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-719T.Fujii,D.R.PoirierandM.C.Flemingslowalloysteel.Metall.Trans.B,10B,331339,1979宏觀偏析模型背景杜杰營(yíng)7Muti-domainmodel社科校古學(xué)sumingnoconvection-flowPLpag1taTlaGlVeI+a1parcsequation:V=-(Vp-pig)g(1-歇EMuti-domainmodel8ContinuummixtureModel功社宋科技古學(xué)Mixturemassapat+v(pmvm)=0mixturemomentumdipmVm)+v(pmvmvm)VP+v(Ppnmixtureenergytv。vh-hn)VLAm(shs+fh-回mhm)mixturespecies+v(pmeM)W(PmDmVe)+vIpm(ED3v+fDv-DnW-Vpa〔v+fq-回mVmContinuummixtureModel9Continuummixturemodel社科校古學(xué)fs+fiMixturemasssm=fc=;fq‖linearizedf(fs,fvs,v)AO-boI"saLskeimpious=fh+fh(m-h,Cr+I(au-m)dT+bmu[9-kp+f(1-k)mixturemomentumf(fs,,vs,VlCs,CD,TSpdt+fl+l(G-as)dT]mixtureenergyf(s,f,sⅵhs,h,CVs--V1=[m-(1-D)astITCfhetT=href+f(fs,f.vs,ⅵcs,C)hi(n=h,(n+(pl-cps)dTIentContinuummixturemodel10宏觀偏析模型及其計(jì)算課件11宏觀偏析模型及其計(jì)算課件12宏觀偏析模型及其計(jì)算課件13宏觀偏析模型及其計(jì)算課件14宏觀偏析模型及其計(jì)算課件15宏觀偏析模型及其計(jì)算課件16宏觀偏析模型及其計(jì)算課件17宏觀偏析模型及其計(jì)算課件18宏觀偏析模型及其計(jì)算課件19宏觀偏析模型及其計(jì)算課件20宏觀偏析模型及其計(jì)算課件21宏觀偏析模型及其計(jì)算課件22宏觀偏析模型及其計(jì)算課件23宏觀偏析模型及其計(jì)算課件24宏觀偏析模型及其計(jì)算課件25宏觀偏析模型及其計(jì)算課件26宏觀偏析模型及其計(jì)算課件27宏觀偏析模型及其計(jì)算課件28宏觀偏析模型及其計(jì)算課件29宏觀偏析模型及其計(jì)算課件30宏觀偏析模型及其計(jì)算課件31宏觀偏析模型及其計(jì)算課件32宏觀偏析模型及其計(jì)算課件33宏觀偏析模型及其計(jì)算課件34宏觀偏析模型及其計(jì)算課件35宏觀偏析模型及其計(jì)算課件36宏觀偏析模型及其計(jì)算課件37宏觀偏析模型及其計(jì)算課件38宏觀偏析模型及其計(jì)算課件39宏觀偏析模型及其計(jì)算課件40宏觀偏析模型及其計(jì)算課件41宏觀偏析模型及其計(jì)算課件42宏觀偏析模型及其計(jì)算課件43宏觀偏析模型及其計(jì)算課件44宏觀偏析模型及其計(jì)算課件45宏觀偏析模型及其計(jì)算課件46宏觀偏析模型及其計(jì)算課件47宏觀偏析模型及其計(jì)算課件48宏觀偏析模型及其計(jì)算課件49宏觀偏析模型及其計(jì)算課件50宏觀偏析模型及其計(jì)算課件51功社宋科技古學(xué)宏觀偏析模型及其計(jì)算功社宋科技古學(xué)52社宋科枝六學(xué)目錄≥宏觀偏析模型背景Muti-domainmodel偏析模型Continuummixturemode偏析模型Volumeaveragedmodel偏析模型冫THERCAST偏析計(jì)算軟件簡(jiǎn)介T(mén)HERCAST偏析計(jì)算-末端壓下社宋科枝六學(xué)53宏觀偏析模型及其計(jì)算課件54宏觀偏析模型及其計(jì)算課件55宏觀偏析模型背景杜杰營(yíng)S.PoirierandM.C.FlemingsTrans.Met.Soc.AIME.1966.vol.236pp1157-165M.CFlemingsandGENereo:domainModelAME,1967vol.239pp1449-1461M.CFlemings,RMehrabianandG1981ENereo:Trans.TMS-AIME,1968vol242,pp.41-49M.CFlemingsandGENere19601970RMehrabian,M.AKeaneandM.C.gs:Metall.Trans.,1970,vol11)calculatingthepressure,velocityandfractionofliquidinthemushyzone,2)calculatingthenaturalconvectioninthebulkliquidSKou,DR.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-719T.Fujii,D.R.PoirierandM.CFlemingsMacrosegregationinamulticomowalloysteel.Metall.Trans.B,10B,331339.1979宏觀偏析模型背景杜杰營(yíng)56宏觀偏析模型背景杜杰營(yíng)T.S.PoirierandM.C.Flemingns.Met.Soc.AIME1966,vol.236.Muti1157-1165M.CFlemingsandG.E.NereodomainModelME1967Vol.239,pp.1449-14611981Macrosegregationiscausedbysolutetransportprimarilydutotheflowofsegregatedliquidinthemushyzone,whichis1987aresultofbuoyancyforcesduetothermalgradients(thermalnaturalconvection),buoyancyforcesduetoconcentrationgra-dients(solutalnaturalconvection),densitydifferencesbetweenthetwophases(solidificationshrinkage),andinletflow(bulkconvection).Exceptforshrinkage-inducedflow,theflowintheContinuumpp.1209-1220xturRMehrabian.M.A.KeaneandM.CModeFlemings:Metall.Trans.,1970,vol1pp.3238-3241SKou,D.R.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-71T.Fujii,D.R.PoirierandM.CFlemingsMacrosegregationinamulticomponentowalloysteel.Metall.Trans.B,10B,331339.1979宏觀偏析模型背景杜杰營(yíng)57宏觀偏析模型背景杜杰營(yíng)T.S.PoirierandM.CFlemingsTrans.Met.Soc.AIME.1966.voL,236pp1157-1165M.CFlemingsandGENereo:domainModelAME,1967ol239pp1449-1461M.CFlemings,RMehrabianandG1981ENereo:Trans.TMS-AIME,1968vol242,pp.41-491988M.CFlemingsandGENere1987Trans.TMS-AIME.1968.voL.2421960y1970RMehrabian,M.A.KeaneandM.C.Flemings:Metall.Trans.1970,vol1ContinuumVolumepp.1209-1220xturaveragedRMehrabian,M.AKeaneandM.C.ModeFlemings:Metall.Trans.,1970,vol1,pp3238-3241SKou,DR.PoirierandM.CFlemingsMetall.Trans.B,1978,vol9B,pp.711-719T.Fujii,D.R.PoirierandM.C.Flemingslowalloysteel.Metall.Trans.B,10B,331339,1979宏觀偏析模型背景杜杰營(yíng)58Muti-domainmodel社科校古學(xué)sumingnoconvection-flowPLpag1taTlaGlVeI+a1parcsequation:V=-(Vp-pig)g(1-歇EMuti-domainmodel59ContinuummixtureModel功社宋科技古學(xué)Mixturemassapat+v(pmvm)=0mixturemomentumdipmVm)+v(pmvmvm)VP+v(Ppnmixtureenergytv。vh-hn)VLAm(shs+fh-回mhm)mixturespecies+v(pmeM)W(PmDmVe)+vIpm(ED3v+fDv-DnW-Vpa〔v+fq-回mVmContinuummixtureModel60Continuummixturemodel社科校古學(xué)fs+fiMixturemasssm=fc=;fq‖linearizedf(fs,fvs,v)AO-boI"saLskeimpious=fh+fh(m-h,Cr+I(au-m)dT+bmu[9-kp+f(1-k)mixturemomentumf(fs,,vs,VlCs,CD,TSpdt+fl+l(G-as)dT]mixtu