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1、ChemicalEngineeringScience65(2010)6089–6100ContentslistsavailableatScienceDirectChemicalEngineeringSciencejournalhomepage:www.elsevier.com/locate/cesAnalysisofbreakageandcoalescencemodelsforbubblecolumns1J.F.Mitre,R.S.M.Takahashi,C.P.RibeiroJr.,P.L.C.LageProgramadeEngenhariaQuı´mi
2、ca—COPPE,UniversidadeFederaldoRiodeJaneiro,POBox68502,RiodeJaneiro,RJ21941-972,BrazilarticleinfoabstractArticlehistory:ThisworkwasaimedatevaluatingtheperformanceofbubblebreakageandcoalescencemodelsinReceived30January2010bubblecolumnsimulations.Atotaloffivedifferentmodelswereconsider
3、ed(twoforbreakageandReceivedinrevisedformthreeforcoalescence).Theseselectedmodelshadtheirparametersestimatedusingexperimentaldata11July2010ofbubblesizedistributionsfortheair–watersysteminanisothermalbubblecolumn.BubblesizeswereAccepted20August2010measuredwithaphotographictechniquef
4、ortwogassuperficialvelocitiesatthreebubblingheights.Availableonline27August2010Modelparameterswereestimatedusingthemaximumlikelihoodtechniqueappliedtoaone-Keywords:dimensionalpopulationbalancemodel,whichwassolvedbythemethodofclasses.TheresultsallowedBubbletoconclude,withintheexperim
5、entaluncertainty,thatitwasnecessarytoadjusttheparametersofSimulationsomeofthemodelsaccordingtotheoperationalconditions.Forothermodels,thesameparameterPopulationbalancevaluescouldbeusedtorepresentdifferentoperationalconditions.Bubblecolumns&2010ElsevierLtd.Allrightsreserved.Coalesce
6、nceBreakage1.Introductionexchangeofrelevantproperties,likeenergyormass,amongmotheranddaughterparticles.SeveralunitoperationsinchemicalengineeringinvolvetheThepopulationbalanceisamodelingframeworkthatcontactoftwoormorephasestopromotemassandheattransferincorporatestheinteractionamong
7、particlesinadispersedflowwithorwithoutchemicalreactions.Distillationtowers,direct-(Ramkrishna,2000).Itisbasedonanequationthatstatesthecontactevaporators,bubblecolumnsandmultiphasereactorsareconservationofparticlenumberdensitywhichiscalledthesomeexamples(RibeiroandLage,2004a;Chenetal
8、.,2005;Joshi,populationbal
