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1、PergamonMineralsEngineering,Vol.13,No.3,pp.265-275,2000©2000ElsevierScienceLtdAllrightsreserved0892-6875(99)00006-60892-6875/00/$-seefrontmatterCALCULATIONOFTHESPECIFICSURFACEAREAINFLOTATIONE.VENTURA-MEDINAandJ.J.CILLIERSFrothandFoamResearchGroup,ChemicalEngineering,UMIST,P.O.Box88,ManchesterM60
2、1QD,UK.E-mail:j.j.cilliers@umist.ac.uk(Received27July1999;accepted5November1999)ABSTRACTDifferentweightingfunctionsforcalculatingthespecificsurfaceareaandaveragebubblediameterinfrothflotationhavebeenstudied.Theweightingfunctionsconsideredwerenumber,length,areaandvolume.Usingbubblesizedistributio
3、ndataobtainedfromimageprocessingofbatchflotationfroth,specificsurfaceareaandaverageequivalentdiameterwerecalculated.Itwasfoundthatweightingbysurfaceareawasthemostappropriatemethodtodeterminebothspecificsurfaceareaandaverageequivalentdiameter.Theequivalentellipsoidaldiameterwasfoundtobeamoreappro
4、priateaveragediameterthantheequivalentsphericaldiameter.©2000ElsevierScienceLtd.Allrightsreserved.KeywordsFlotationfroths;flotationbubbles;frothflotation;sizing;modelling~TRODUCTIONSurfaceareaisanessentialcomponentofanycalculationthatestimatestheperformanceofseparationortransportprocesses.Thetra
5、nsferorseparationoccursonthesurfaceofeitheraparticleorabubble.Forexample,catalyticheterogeneouschemicalreactionsoccurontheparticlesurfacewhileinfrothflotation,thevaluablematerialisattachedtothesurfaceofthebubbles,bywhichtheyaretransportedfromthepulp.Amorepracticalparameteristheratioofsurfacearea
6、tovolume,orspecificsurfacearea.Thereareanumberofwell-knowntechniquestodeterminethespecificsurfaceareaofparticles(Allen,1997),howeverthesecannotbeusedinthecaseofbubbles.Furthermore,alargenumberofparticlesisgenerallyusedtodeterminecharacteristiclengthordiameterswhereasforbubbles,duetodifficultiesi
7、nhandlingthem,thisisnotalwayspossible.Anexampleistheuseofimageanalysisofthefrothsurface,wherethenumberofbubblesmeasuredwilldependalsoontheproximityofthecameratothefroth.Iftheimageistakenfromclose-up,highresolutionisobtained.