固定床吸附的动力学模型及吸附剂形状因子的影响-叶长燊

,2000,16(5):392~399IONEXCHANGEANDADSORPTION1001-5493(2000)05-0392-08*1213500022350002TQ028,TQ011A[1][2,3][4],1[5][6]*19991218,(1972),,,.1653931.1(1)(2)()(3)(4)(5)[7]vCzCtqtDCzaavL¶¶¶¶eer¶¶¶¶++-=122(1)¶¶¶¶¶¶qtrrDrqrasa=⎛⎝⎜⎞⎠⎟1(2)qKCFn=1qqKCKCCCmax=+1(3)()Cz,00=()qzr,,00=(4)()CtC00,=()kCCDqrfiasrR-=⎛⎝⎜⎞⎠⎟=r¶¶(5)01=⎟⎠⎞⎜⎝⎛=zzC¶¶00=⎟⎠⎞⎜⎝⎛=rrq¶¶1.2(a)()DDCCYCYss=++01232[8](FreundlichLangmuir)1BiotBikRDCqfsa=00rPecletPeLvDL=,yree=-⎛⎝⎜⎞⎠⎟qCa001()qre=-CquRLDas00201,IonExchangeandAdsorption200010394XCC=0Yqq=0h=rRZzL=t=DtRs02DDDss=0(1)(1)(5)¶¶tyq¶¶yq¶¶y¶¶tXPeXZXZYav=--22(6)21⎟⎟⎠⎞⎜⎜⎝⎛+⎟⎟⎠⎞⎜⎜⎝⎛=¶h¶¶¶¶h¶h¶h¶h¶t¶YYDYDYaa(7)YXn=1(Freundlich)(8)()YKXKXLL=+-11(Langmuir)(9)()XZ,00=()YZ,,h00=(10)()X01,t=()¶¶hhYBiXXi⎛⎝⎜⎞⎠⎟=-=1¶¶XZZ⎛⎝⎜⎞⎠⎟==10¶¶hhY⎛⎝⎜⎞⎠⎟==00(11)KKCLC=+10YaYdava=∫-011hha=1a=2a=31.3VilladsenStewart[9][10][11][12]()()[11,12]A*B*W*ABW∑+=∂∂21NllklXAZX∑+==∂∂2122NllklXBZX∑+=*=∂∂11,MiikjiYAYh∑+=*=⎟⎟⎠⎞⎜⎜⎝⎛11,1MiikjiaaYBY¶h¶h¶h¶h*klA*klBklAklBA*B*AB165395dXdPeBXAXaWdYdkkllklljkjjMlNlNtyqyqyt=--*=+=+=+∑∑∑,111212∑∑+=+=**⎟⎠⎞⎜⎝⎛+=11211,,,,MiMiikjijkikjijkYAdYdDYBDddYti,j=1,2,...,M+1k,l=1,2,...,N+2MN—[13]12a[14][7]Ds~Y[8][4]n=1KL=1Ds=constant1Ds2Ds3Ds214Ds59Ds1015Ds341IonExchangeandAdsorption2000103962BiPe1110010010020.02500.110Y=X30.0250810Ds=constant40.0025011051100100100Y=X1/2,Ds=constant6110050100Y=X1/2,Ds=constant70.002500.110Y=X1/3,Ds=constant80.00250110Y=X1/5,Ds=constant90.00250110KL=2,Ds=constant101100100~125*100Y=X1/2,D=0.6+0.25Y+0.15Y2110.02501~1.43*10Y=X1/2,D=0.7+0.2Y+0.1Y2120.002500.1~0.125*10Y=X1/2,D=0.8+0.15Y+0.05Y2130.002501~1.25*10Y=X1/2,D=0.8+0.15Y+0.05Y2140.002500.5~1*10KL=2,D=0.5+0.35Y+0.15Y2150.0025010~12.5*10Y=X1/2,D=0.8+0.15Y+0.05Y2Bi*Ds,Bi,Bi*Ds=Ds0Biot1,5,6,10,11,33(a)3(b)210114(a)4(b)21215Biot(a)=1,,Pe=100,Bi*=100,Y=X1/2,D=0.6+0.25Y+0.15Y2(b)Bi*=1,=0.02,=50,Pe=10,Y=X1/2,D=0.7+0.2Y+0.1Y21653974q=0002.y=50Pe=1023~4tttBiot4(b)3tttIonExchangeandAdsorption200010398atDraDLeKFFreundlichhKCLangmuirKLLangmuir*nFreundlichv0XmaxYsZav[1]TanC.S.,Chem.Eng.Sci.[J],1986,41(11):2956[2]WilsonA.H.,Phil.Mag.[J],1948,39:48[3]WeberW.J.,Jr,RumerR.R.,WaterResourcesRes.[J],1965,1:361[4]XiuG.H.,NittaT.,LiP.etal.,AIChEJ.[J],1997,43(4):979[5]ZhangR.Y.andRitterJ.A.,Chem.Eng.Sci.[J],1997,52(18):3161[6]YaoC.C.andTienC.,Chem.Eng.Sci.[J],1993,48(1):187[7],[M],:,1988[8]ArvindG.andBhatiaS.K.,Chem.Eng.Sci.[J],1995,50(8):1361[9]VilladsenJ.V.andStewartW.E.,Chem.Eng.Sci.[J],1967,22:1483[10]FinlaysomB.A.,Themethodofweightresidualsandvariationalprinciples[M],NewYork:McGraw-Hill,1972[11],,,[J],1998,14(1):59[12],,,()[J],1999,27(1):100[13],,,[J],1997,48(3):270[14]RaghavanN.S.andRuthvenD.M.,AICHEJ.[J],1983,29(6):922165399INFLUENCEOFADSORBENTSHAPEFACTORONDYNAMICOFADSORPTIONINAFIXEDBEDYEChangshen1WANGZhonglai21DepartmentofChemicalEngineering,FuzhouUniversity,Fuzhou3500022InstituteofBiotechnology,FuzhouUniversity,Fuzhou350002Abstract:Inthiswork,amathematicalmodeloffixedbedispresented,whichdescribesthesoliddiffusionmechanismconsideringbothinternalandexternalmasstransferresistances.Themodelaccountsfortheconcentrationdependenceofintraparticlesurfacediffusioncoefficient,andfortheaxialdispersionThenonlinearisotherms,Langmuir’sandFreundlich’sisotherms,areusedtodescribetheadsorptionequilibriumTheeffectofparticlegeometriesonbreakthroughcurveisdiscussedindetailsIftheparticlesizeforthreetypesofadsorbentsisthesamethebreakthroughtimeisintheorderofthat:slabscylindersspheres.However,thereisnodifferenceofthebreakthroughcurvesamongtheslabthecylinderandthesphereadsorbentsinsomespecialcases.Keywords:Adsorption,Fixedbedadsorber,Shapefactor,Breakthroughcurves.