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1、FLUIDFLOWANDTRANSPORTPHENOMENAChineseJournalofChemicalEngineering,18(6)923—930(2010)*HydrodynamicBehaviorofaSingleBubbleRisinginViscousLiquidsCAIZiqi(蔡子琦),BAOYuyun(包雨云)andGAOZhengming(高正明)**StateKeyLaboratoryofChemicalResourceEngineering,SchoolofChemicalEn
2、gineering,BeijingUniversityofChemicalTechnology,Beijing100029,ChinaAbstractTherisingbehaviorofsinglebubbleshasbeeninvestigatedinsixsystemswithdifferentviscosityand−11Mortonnumber(Mo)from3.21×10to163.Bubbleswithmaximumequivalentdiameterofupto16mmwereinvesti
3、gated.ThebubbleReynoldsnumber(Re)rangedfrom0.02to1200covering3regimesinwhichtwofunc-tionsareobtainedrelatingthedragcoefficient,CD,withReandMo.IthasbeenfoundthatinthehighReynoldsnumberregimethedragcoefficientincreasesuntiltheReynoldsnumberofabout1200.Thecla
4、ssicexpressionofJamialahmadi(1994)isimprovedandextendedtohighviscosityliquids.AnewrelationshipfortheaspectratioofdeformedbubblesintermsofRe,theEötvösnumberandMo,applicabletoawiderangeofsystemproperties,espe-ciallyinhighviscosityliquids,isalsosuggested.Keyw
5、ordsbubble,risingvelocity,viscousliquid,dragcoefficient,deformation1INTRODUCTIONderivedfromStokes’sLaw,48CRDb==ef()D(1)Gas-liquidreactorsarewidelyusedinindustrialReprocessessuchasfoodprocessing,microbecultivation,PeeblesandGarber[5]usedliquidswithawidewast
6、ewatertreatment,theproductionofdetergents,rangeofphysicalpropertiesderivingaseriesofcorre-lubricants,cosmeticsandmanyotherfinechemicals,latingequations(2)forCDinvolvingthesystemprop-wheretheperformancedependsonmassandheatertiesintermsoftheReynoldsnumber:tr
7、ansferbetweenphases.Theoverallefficiencyofa−1gas-liquidreactorisoftendeterminedbythecharac-CRD=48eRe<2(2)teristicsofthedispersioninwhichthegasphaseis−0.68CRD=29eRe>2usuallyintheformofbubbles.Gasholdupandbubblediameterarecrucialparametersforreactorperform-U
8、singadimensionalanalysisapproach,Rodrigueanceasthesedirectlyaffectbubblevelocityandresi-[6]obtainedacorrelationforCDintermsofReynoldsdencetime.Ofallthefactorsmentionedabove,thenumberReandMortonnumberMo,extend