Scale-dependent nature of the surface fractal dimension for bi- and multi-disperse porous solids by mercury porosimetry

《Scale-dependent nature of the surface fractal dimension for bi- and multi-disperse porous solids by mercury porosimetry》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、AppliedSurfaceScience253(2006)13491355www.elsevier.com/locate/apsuscScale-dependentnatureofthesurfacefractaldimensionforbi-andmulti-disperseporoussolidsbymercuryporosimetryBaoquanZhang*,WeiLiu,XiufengLiuSchoolofChemicalEngineeringandTechnology,TianjinUniversity,Tianjin300072,ChinaReceived28December2

2、005;receivedinrevisedform4February2006;accepted4February2006Availableonline11April2006AbstractThesurfacefractaldimensionwascalculatedbyusingamathematicalmodelandmercuryintrusiondataforavarietyofbi-andmulti-disperseporoussolidsincludingsilicagels,aluminapellets,andbuildingstones.Themathematicalmodelw

3、asobtainedbymodifyingthewell-establishedscalingrelationpublishedpreviously[Ind.Eng.Chem.Res.,34(1995)13831386].Itwasalsoverifiedbycomparingwiththetheoreticalsurfacefractaldimensionsforregularfractalstructures(SkerpinskitetrahedronandMengersponge)andthecalculatedsurfacefractaldimensionsforsilicageland

4、aluminaparticlesviathelinearfittingmethodestablishedpreviously.Thecalculationresultsforvariousbi-andmulti-disperseporoussolidshavedemonstratedthatthescale-dependentnatureofthesurfacefractaldimensionisubiquitous.Thedifferenceinthesurfacefractaldimensionbetweenporesizeintervalsusuallyexists.Theestimati

5、onofthesurfacefractaldimensiononanaveragestandmayleadtoerroneousresults.#2006ElsevierB.V.Allrightsreserved.PACS:05.45.Df;81.05.RmKeywords:Fractal;Porousmedia;Mercuryporosimetry1.IntroductionThederivationofZhangandLimodelwasmainlybasedonthethermodynamicanalysisofmercuryintrusionprocessThemercuryporos

6、imetrymethodhasbeenappliedtoassociatedwiththefractalanalysisofporesurface[6].Acharacterizethesurfaceirregularityofmanyporoussolidsscalingrelation,Eq.(1),wasobtainedtocalculatethesurfacesuchascoals,charsandactivatedcarbons[14],porousfractaldimensionbywayofmercuryintrusiondata.aluminaandsilicagels[57]

7、,concretesandbuildingstones[8].ThemercuryintrusionporosimetryispreferredduetoitslnðWnÞ¼lnðQnÞþC(1)easyrealization.Itcanalsosupplyaprofoundinsightofsurfacefractalityfromanotherangle[7].Theexistingwhere