New distributed activation energy model Numerical solution

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1、Availableonlineatwww.sciencedirect.comBioresourceTechnology99(2008)2795–2799Newdistributedactivationenergymodel:NumericalsolutionandapplicationtopyrolysiskineticsofsometypesofbiomassJunmengCai*,RonghouLiuBiomassEnergyEngineeringResearchCenter,SchoolofAgricultureandBiology,ShanghaiJiaoTongUniversity

2、,800DongchuanRoad,Shanghai200240,P.R.ChinaReceived31March2007;receivedinrevisedform19June2007;accepted20June2007Availableonline10August2007AbstractInthepresentpaper,anewdistributedactivationenergymodelhasbeendeveloped,consideringthereactionorderandthedepen-denceoffrequencyfactorontemperature.Thepro

3、posedDAEMcannotbesolveddirectlyinaclosedfrom,thusamethodwasusedtoobtainthenumericalsolutionofthenewDAEMequation.Twonumericalexamplestoillustratetheproposedmethodwerepresented.ThetraditionalDAEMandnewDAEMhavebeenusedtosimulatethepyrolyticprocessofsometypesofbiomass.ThenewDAEMfittedtheexperimentaldata

4、muchbetterthanthetraditionalDAEMasthedependenceofthefrequencyfactorontemperaturewastakenintoaccount.Ó2007ElsevierLtd.Allrightsreserved.Keywords:Distributedactivationenergymodel;Nonisothermalkinetics;Pyrolysis;Biomass1.IntroductionThemostaccurateandup-to-dateapproachformodelingthepyrolysiskineticsof

5、biomassistoadopttheDAEMThescarcityoffossilfuelresourcesandtheincreasein(SonobeandWorasuwannarak,2007).biomasswasteshaveledtorenewedinterestinconvertingTheDAEMwasoriginallydevelopedbyPitt(1962)andthesewastesintousefulenergeticproducts(Jiangetal.,lateradaptedbyAnthonyandHoward(1976).Itdescribes2007).

6、Inrecentyears,thermochemicalprocesseshaveacomplexreactionasanumberofparallelfirst-orderreac-becomesomeofthemostpromisingwaysforobtainingtions,eachoccurringwithitsownratecoefficient.Usually,usefulproductsfromthosebiomasswastes.Thestudyofitisfurtherassumedthatallreactionssharethesamefre-thekineticbehavi

7、oroftheseproductsinthermaldecompo-quencyfactor.Thenth-orderDAEM,aphenomenologicalsitionisfundamentaltotheoptimizationoftheiruse(Con-modelcombiningareactionorderwithanactivationesaetal.,1995).energydistribut