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1、Generaltheoryofcreepflowisproposedwhichindicatespermeabilitytensorcanberepresentedintermsofon/yfourscalarconstantsAdvmcesinTheoryofFigure7.SpatiallyperiodicporousmediaTheproblemofflowinporousmediaisofinteresttofromtheearlyworkofHubbert(15)whohasgivenaanenormousrangeofengineersa
2、ndscientists-lucidaccountofthefamousworkofDarcy(7)andhasfromthechemicalengineerwhoquitelikelyisconcernedpresented,onanintuitivebasis,alogicalroutetoawithmulticomponentreactingsystems,totheciviltheoreticaltreatmentofthisproblem;fromtheexhaus-engineerwhoisoftenfacedwithatwo-phase
3、(air-water)tivestudybyBrenner(5)oncreepflowinaspatiallyflowprocess,totheseismologistwhomustdealwithaperiodicporousmedia;fromtheworkofSlattery(30,deformableporousmediainatransientstate.Evenwith37)ontheflowofviscoelasticfluidsinporousmedia;andthisvastarrayofimportantproblemsawait
4、ingourfromtheauthor’sownattemptatatheoreticaltreatmentattention,thispaperwillconsideronlythesimplestofofthisproblem(38).allpossiblecases;thesteady,incompressibleflowofaThereareperhapsthreefairlydistinct,althoughcer-Newtonianfluidunderconditionssuchthatinertialtainlynotmutuallye
5、xclusive,approachestotheproblemeffectscanbeneglected.Acarefulsurveyofthisprob-offlowinporousmedia.Sinceaporousmediumislemwillhopefullyprovideasoundbasisforthestudyofgenerallynotanorderedstructure,theideaofdevelopingsomeofthemoreimportantaspectsofflowinporousstatisticalmodelsisa
6、ppealing,andanumberofattemptsmedia.havebeenmadeinthisarea[I,(3,Chap.6),(28,TheideaspresentedinthispaperaredrawnprimarilySec.6.6),(29)].Anotherapproachisthemethodof14INDUSTRIALANDENGINEERINGCHEMISTRYFLOWTHROUGHPOROUSMEDIASYMPOSIUMFluidMotioninPorousMedidSTEPHENWHITAKERgeometricm
7、odelinginwhichonepostulatesageometrywhichhopefullybearssomeresemblancetotheporousmedia,yetissufficientlysimpletoallowthegoverningdifferentialequationstobesolved.Onlytwogeometricmodelswillbereferredtointhiswork;thespatiallyperiodicmodelofBrenner(Figurel),andaskewedcapillarymodel
8、(Figure2).InBrenner’smodeltheporousmediaaremadeupofani