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1、AbstractPorousmediawidelyexistinnature,engineeringmaterials,organs,oilandwaterreservoirsetc.Weconsiderthematerialsofhydro-channelsinPEMfuelcellasporousmedia.Thetreenetworkstructuresariseextensivelyincirculatoryandrespiratorysystemsofplantsandanimals,communicatio
2、n,socialcooperation,economic,riverbasin,oil/waterreservoirs,powersupplyofacityandmicroelectroniccoolingsystemsetc.Thepropertiesofthenetworkandthetransportproperties(electrical,thermalandfluidflowetc.)inthenetworkhavereceivedconsiderableattentionrecently.Theproto
3、nexchangemembranefuelcell(PEMFC)convertsthechemicalenergydirectlyintoelectricity.ThePEMfuelcellsareexpectedtobethefuturepowergeneratingdevicesforthetransportation,portableelectronicandlocalapplications,onaccountoftheirverylownegativeeffectsandhigherconversioneff
4、iciency.TheenergyofPEMFCinvertsveryquickly.Inthispaper,wepresentaplanarmathematicalmodeltoestablishthemodelforhydro-channelsinPEMFCbytheself-similartreenetworks.Thismodelisbasedontheknowledgeofthefractal-liketreenetworkstocalculatetheconnectionoffluxandtheshapea
5、swellasthematerialofhydro-channelsinPEMFC.Keywords:self-similar,fractal,porousmedia,fractal-likenetworks,hydro-channelsII目录摘要·················································································IAbstract···············································
6、·································II1综述1.1多孔介质概述··································································(1)1.2分形几何基本知识····························································(2)1.3分形分叉网络的理论知识··················································(11)1.4质
7、子交换膜燃料电池的理论知识·········································(14)1.5本文工作简介·································································(19)2质子交换膜燃料电池气体流道设计2.1前言·············································································(19)2.2国内外研究者对PEMFC流道的研究····
8、··································(21)2.3PEMFC分形分叉流道的设计···············································(23)2.4结论·······················································