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Chapter4

IsothermalReactorDesignTyingeverythingtogetherChaps.1and2:Molebalance,reactorsizeChap.3:reactionsChap.4:combinereactionsandreactors,logicalstructureforthedesignofvarioustypesofreactorsReasoning,ratherthanmemorizingnumerousequationstogetherwithvariousrestrictionsandconditionsunderwhicheachequationappliesAttention:reactionsthatareoperatedisothermallyPart2

MolebalanceswrittenintermsofconcentrationandmolarflowratesOverviewTherearemanyinstanceswhenitismuchmoreconvenienttoworkintermsofthenumberofmoles(NA,NB)ormolarflowrates(FA,FB,etc.)ratherthanconversion.

MultiplereactionsMembranesUnsteadystateDifferenceinalgorithm1.Conversionalgorithm

molebalancesononlyonespecies2.Molarflowrateandconcentrationalgorithm

molebalanceoneachandeveryspeciesExample:

Isothermalreactiondesignalgorithmformolebalanceswritemolebalanceoneachspecieswriteratelawintermsofconcentrationrelatetheratesofeachspeciestooneanother

MolebalanceRatelawStoichiometryStoichiometry(a)writetheconcentrationsintermsofmolarflowratesforisothermalgas-phasereactions(b)forliquid-phasereactionsuseconcentration,e.g.,CA,CBPressuredropwritethegas-phasepressuredroptermintermsofmolarflowratesCombineuseanODEsolveroranonlinearequationsolvertocombineStepsthroughtosolvefor,forexample,theprofilesofmolarflowrates,concentrationandpressure.4.7MolebalancesonCSTRs,PFRs,PBRs

andbatchreactors4.7.1Liquid-phaseNovolumechange,concentrationpreferredvariableMolebalancesforliquid-phasereactionsBatchCSTRPFRPBRand4.7.2GasphaseMUSTwriteamolebalanceoneachspeciesThegenericpowerlawrateRatelawTorelateconcentrationstomolarflowratesStoichiometryPressuredropequationforisothermaloperationTotalmolarflowrate:Algorithmforgas-phasereaction1.MolebalancesBatchCSTRPFR2.RateLaw3.StoichiometryRelativeratesofreactionthenconcentrationsTotalmolarflowrate4.Combine:ForanisothermaloperationofaPBRwithnoP(1)Specifyparametervalues:(2)Specifyenteringnumbers:5.UseanODEsolver.4.8Microreactors

EmergingtechnologyinCRE

Highsurfacearea-to-volumeratios

Typicalchannelwidth:~100m,length~2cmHighsurfacearea-to-volumeratio,ca.10,000m2/m3

Highheat,masstransferSurface-catalyzedreactionscanbegreatlyfacilitatedHotspotsinhighlyexothermicreactionscanbecarriedoutisothermallyTostudyintrinsickineticsofreactionsProductionoftoxicorexplosiveintermediates(e.g.,microexplosion)Shorterresidencetimes,narrowerresidencetimedistributionsApplications:specialtychemicals,combinatorialchemicalscreening,lab-on-a-chip,chemicalsensorsPlugflow:Example:MicroreactorBASF:微反應(yīng)器技術(shù)成功的工業(yè)應(yīng)用T型混合器混合界面周期擺動(dòng)Re<200渦的出現(xiàn)Re~1500MicroLIF:劉喆Dropletbasedmicro-reactorTice,J.D.;Song,H.;Lyon,A.D.;Ismagilov,R.F.Langmuir

2003Mixingvs.DispersionSotowa,K.I.;Irie,K.;Fukumori,T.;Kusakabe,K.;Sugiyama,S.Chem.Eng.Technol.

2007NanoparticlepreparationMixingIntensificationbyChaoticAdvectioninsideDropletsforControlledNanoparticlePreparation(博士生:劉喆)HigherliquidflowrateMixinginFloatingAirEnvironmentCaseN1(poormixing)CaseN2(poormixing)CaseN3CaseN4CaseN5CaseN6CaseA1CaseA2CaseA3CaseA4CaseA5CaseA6IMRET-10:10thInternationalConferenceonMicroreactionTechnologyApril6-10,2008

NewOrleans,LA

FineChemicalsandPharmaceuticalsSynthesisandProductionCatalyzedandEnzymaticalProcessesMixing,MassTransferandHeatExchangeCharacterizationandSimulationProgressintheCommercializationofMicroProcessTechnology-PanelDiscussionEnergyGenerationandFuelProcessingNovelProcessWindows–UnusualWaysofProcessingPolyreactions/FineChemicalsandPharmaceuticalsSynthesisandProductionSensingandProcessAnalyticsMultiphaseReactions,DispersionsandFoamsParticlesandFunctionalMaterials...PropaneconversionatambienttemperatureOxidativeconversionofpropanewithcatalystCatalyticoxi-crackingofhexaneforolefinsDirectCH4conversiontoliquidoxygenatesCatalystactivationforCNFsynthesis4.9MembranereactorsIncreaseconversionwhenthereactionisthermodynamicallylimitedaswellastoincreasetheselectivitywhenmultiplereactionsareoccurring

Provideabarriertocertaincomponentswhilebeingpermeabletoothers,

Preventcertaincomponentssuchasparticulatesfromcontactingthecatalyst,

Containreactivesitesandbeacatalystinitself(i.e.,catalyticmembrane)

Byhavingoneoftheproductspassthroughoutthemembrane,wedrivethereactiontowardcompletion.ExampleMechanismofmembranereactorsFeedC6H12H2permeateH2permeateSweepgasSweepgasC6H6C6H12H2AlgorithmChoosereactorvolumeratherthancatalystweightasindependentvariableMolebalancesonthechemicalspeciesthatstaywithinthereactor,AandCMolebalancesonB(H2)mustbemodifiedBalanceonBinthecatalyticbedInByflowOutBydiffusionOutByflowGenerationAccumulation--+=-+-=0RB:molarflowrateofBleavingthroughthesidesthereactorperunitvolumeofreactor(mol/dm3·s)TherateoftransportingBoutthroughthemembrane:MolarfluxofBOverallmasstransfercoefficientinm/sMembranesurfaceareaperunitvolumeofreactorkC:s-1B(CB)B(CBS)UseofmembranereactorstoenhanceselectivityFeedAB,FB0FA0B,FB0(Chapter6)燃燒尾氣為高濃度的CO2,便于捕獲和后續(xù)處理;采用透氧膜高溫原位供氧,降低純氧燃燒的成本;燃燒溫度相對(duì)較低,易與其它能源動(dòng)力過(guò)程結(jié)合?;谕秆跄さ拿簹饣紵^(guò)程B.Wang,C.S.Chen,AIChEJournal53(2007)2481-2484.中國(guó)科技大學(xué),陳初升教授~1000C4.10Unsteady-stateoperationofstirredreactorsStartupofaCSTR

todeterminethetimenecessarytoreachsteady-stateoperationSemibatchreactorsPredicttheconcentrationandconversionasafunctionoftimeAnalyticalsolutionsvs.numericalsolutionsTwobasictypesofsemibatchoperationsBisslowlyfedtoareactorcontainingAGenerallyusedwhenunwantedsidereactionsoccurathighconcentrationsofBorwhenthereactionishighlyexothermicAmmonolysis,chlorination,hydrolysisTypeI:TypeII:reactivedistillationAandBarechargedsimultaneously,oneoftheproductsisvaporizedandwithdrawncontinuously.Removalofoneoftheproductsinthismannershiftstheequilibriumtowardtheright,increasingthefinalconversion.Removalofoneoftheproductsfurtherconcentratesthereactant,therebyproducinganincreasedrateofreactionanddecreasedprocessingtime.Acetylationreaction,esterificationreactionsinwhichwaterisremoved4.10.1StartupofaCSTRConversionismeaninglessduringstartup;UseConcentrationasvariable1storderreactionts:thetimenecessarytoreach99%ofthesteady-stateconcentration,CASSlowreactionwithsmallkRapidreactionswithlargekGeneralmolebalanceequation4.10.2SemibatchreactorsMotivation:toenhanceselectivityinliquid-phasereactions.InstantaneousselectivityThewaytoachievemoreD:BslowlyfedtopureAConstantmolarfeed,

0,CB0MolebalanceonspeciesAyieldsReaction:-+=4.10.3Writingthesemibatchreactorequations

intermsofconcentrationsOverallmassbalanceofallspeciesForaconstant-densitysystemSemibatchreactorvolumeasafunctionoftimeBalanceonA:BalanceonB:In-Out+Generation=Accumulation0BalanceonB:ODEsolver.example4.10.4Writingthesemibatchreactorequations

intermsofconversionReaction:BisfedtoavatcontainingonlyAinitially.Reaction:1storderinAand1storderinBThelimitingreactantistheoneinthevat.ForspeciesB:InitialAddedtothevatReacteduptotIfnoBinitiallyMolebalanceonAAsforCorDRatelaw:ConcentrationsofA,B,C,Dasafunctionofconversionandtime(Numericalsolution:conversionasafunctionoftime)Equilibriumconversion(shifttowardsrightcontinually)or:ClosureMolebalanceRatelawStoichiometryCombineEvaluateTheheartofchemicalreactionengineeringforisothermalreactorsForanyreactors:batchreactor,CSTR,PFR,PBR,membranereactor,semibatchreactorRef:RecycleReactors

RecycleparameterTwoconversionsDesignequationRatelawStoichiometry-1BasedonX0BasedonXSStoichiometry-2Stoichiometry-3RelatingthemolarflowratesinthevariousstreamsThevolumetricflowrateinthereactorisrelatedtothevolumetricflowrateenteringthereactorMolarflowrateofAwithinthereactorForafirst-orderreactioninAandinBRecyclereactorvolumeRelationshipbetweentheoverallconversionandtheconversionperpassLevenspiel:RecyclereactorPlugflow,VXA2FA3FA0

0XA0=0(FA0’)FA1

1XA1R=0:plugflowR~:mixedflowAmeansforobtainingvariousdegreesofbackmixingwithaplugflowreactor.PlugflowreactorF’A0:feedrateofAifthestreamenteringthereactor(freshfeedplusrecycle)wereunconverted.Plugflow,VXA2FA3FA0

0XA0=0(FA0’)FA1

1XA1(1)(2)(3)Combine(2),(3)1/-rARR+1Smallrecyclevs.Largerecycle

調(diào)節(jié)反應(yīng)物入口的濃度,實(shí)現(xiàn)對(duì)反應(yīng)速率的控制維持反應(yīng)器接近恒溫操作延長(zhǎng)停留時(shí)間提高管內(nèi)流速帶循環(huán)操作的平推流反應(yīng)器增加循環(huán)的目的:一、循環(huán)反應(yīng)器模型定義循環(huán)比:極端情況:β=0(平推流),β→∞(全混流)VM王垚:聚合反應(yīng)工程講義二、循環(huán)反應(yīng)器設(shè)計(jì)方程

PFRM對(duì)M點(diǎn)衡算:對(duì)分流點(diǎn)衡算:

設(shè)計(jì)方程的圖解xAxA1xA2平推流反應(yīng)器:V=(S1+S2)

FA0循環(huán)反應(yīng)器:V=(S1+S2+S3)FA0面積S1為設(shè)計(jì)方程的一部分矩形面積S2+S3為設(shè)計(jì)方程的另一部分動(dòng)力學(xué)曲線(xiàn)

圖解分析循環(huán)比與流型的關(guān)系xAxA1xA2β小時(shí),接近平推流β大時(shí),接近全混流設(shè)計(jì)方程的積分式:xAxA1xA2

簡(jiǎn)單反應(yīng)的循環(huán)反應(yīng)器設(shè)計(jì)方程設(shè)計(jì)方程的積分式:條件:等溫三、循環(huán)反應(yīng)器用于自催化反應(yīng)過(guò)程tCPCA-rA自催化反應(yīng)的動(dòng)力學(xué)特征:初期-rA低中期-rA最快末期-rA↓A+Pk2P對(duì)自催化反應(yīng),存在最佳循環(huán)比βopt,使得反應(yīng)器容積最小

確定最佳循環(huán)比循環(huán)反應(yīng)器的容積極值條件:定積分的求導(dǎo)公式:即得最佳循環(huán)比的優(yōu)化判據(jù):

入口反應(yīng)速率的倒數(shù)=過(guò)程反應(yīng)速率倒數(shù)的積分平均值因?yàn)?/p>

圖解分析最佳循環(huán)比積分面積的平均高度即為矩形的寬。

S1=S2反應(yīng)器的容積由確定xA2xA1SS2S1S’β1動(dòng)力學(xué)曲線(xiàn)S代表Aerosolreactor1.Molebalanceonmonomers2.RatelawsA.NucleationKineticsB.GrowthKinetics3.Flocculation(Collision)Kinetics4.BalanceEquationsAEROSOLNANOPARTICLEPLUGFLOWREACTORSToproducefineparticlesofcontrolledsizeParticlesizestypicallybeintherangefrom10to500nmApplicationsforexamples:

SnO2forcarbonm

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