对液龄分布函数定义的思考及其推论

:2002-07-18:(1971-),,,,.E-mail:[e-mail]王文标1,刘鸿霞2(1.,200092;2.,400045):,().:.().:;;;:X11:A:0253-374X(2003)07-0857-04PonderationandDeductiononDefinitionofExitageDistributionFunctionWANGWenbiao1,LIUHongxia2(1.InstituteofEnvironmentScienceandEngineering,TongjiUniversity,Shanghai200092,China;2.InstituteofMunicipalandEnvironmentEngineering,ChongqingUniversity,Chongqing400045,China)Abstract:OnthebasisofanalyzingtheproblemsindefinitionoftheEDF(exitagedistributionfunction),weproposethattheEDFmustbedefinedwith!inflow∀inuniversalcase,i.e.,whenflowrateisafunctionoftime.Furthermore,theprofounddeductionindicatesthattheEDFisadualisticfunction,whichprovidesthegroundforthecalculationofHRT(hydraulicretentiontime)forsuchreactorsasSBR(sequencingbatchreactor)etc.Keywords:variableflowrate;stimulusresponseexperiment;exitagedistributionfunction;hydraulicretentiontime,.,..,.,.:,,.,..[1,2],.,.1[3],:t2(31720037JOURNALOFTONGJIUNIVERSITYVol.31No.7Jul.2003,),t1t1+dt1E(t1)#dt1,E(t)(exitagedistributionfunction,EDF),E(t)s-1.,,.∃%0E(t)dt=1(1)t=∃%0tE(t)dt(2),[t1,t1+dt1],.,(1),tt+1Fig.1CurveoftrackerconcentrationineffluentofareactordtQ(t)dt.,,tt+dtmE(t)dt.tt+dt,,.,Q(t)dt=mE(t)dt(3)E(t)=Q(t)/m(4):Q,L#s-1;m,g;(t),g#L-1.22.1,t2t2.t2t2.,,(3),tt+dt,tt+dt(tt,t+dtt+dt,tt+dt100%).,E(t)dttt+dt,1,(3).?.2.2,,E(t)(,).,.,.,.,:t2(,),tt+dtE(t)dt,E(t)..tt+dttt+dt,,mE(t)dt,mE(t)dt,(3).,(3).,(3),.858312.322Ei(t)Eo(t)..,.(t)-t,,Ei(t)Eo(t),((3)).,,.,.Qt0.t0Q1,t0Q2,.t0,.(t)=mVe-QVt(5):V;.(5)(4),QQ2Ei(t)=Q2Ve-Q2Vt(6)t0,t0Eo(t)(t0),2QE(t)Fig.2ChangeofE(t)curveviaQEo(t)=Q1Ve-Q1Vt(7)Ei(t)t0Q2,Eo(t)t0Q1.Q1Q2Ei(t)Eo(t)2,2.,t0,.,,,.,,Ei(t),E(t).3E(t,t0)Fig.3E(t,t0)curve33.12,,E(t),t,.(4),(5)(6),Q,Q1Q2.,Qi,Qe,,.(4)E(t)=Qe(t)/m(8),(8);(5),t,(t)Qe,(t)tQe.Qe=Qe(t0),(t)=(t,t0).,(8),E(t)tt0,E(t,t0),(8)E(t,t0)=Qe(t0)(t,t0)/m(9)tt0,3(E(t,t0),t8597,:).,Qe,(t)t,(8)E(t).3.2E(t,t0)E(t),(2)t0.t0=[a,b],().,,QiE(t,t0)t0,.,,,.,.(),,.,,,.,,.4(1),,.(2)tt0,E(t,t0)=Qe(t0)(t,t0)/m.(3),,QiE(t,t0)t0,.().:[1],.SBR[J].,1990,(6):5-11.[2]GoronszyMervynC,,WutscherK.(CAST)[J].,1996,(6):4-9.[3].[M].2.:,1992.##夏四清,徐斌,高廷耀,刘新超.,.1h0.56,70%~80%,CODM110%.:.86031