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1、NaturalConvectionFlowandHeatTransferBetweenaFluidLayeranda.PorousLayerInsideaC.BeckermannRectangularEnclosureS.RamadhyaniAnumericalandexperimentalstudyisperformedtoanalyzethesteady-statenaturalR.Viskantaconvectionfluidflowandheattransferinaverticalre
2、ctangularenclosurethatispar•tiallyfilledwithaverticallayerofafluid-saturatedporousmedium.TheflowintheHeatTransferLaboratory,porouslayerismodeledutilizingtheBrinkman-Forchheimer-extendedDarcyequa•SchoolofMechanicalEngineering,tions.Thenumericalmodelis
3、verifiedbyconductinganumberofexperiments,withPurdueUniversity,sphericalglassbeadsastheporousmediumandwaterandglycerinasthefluids,inWestLafayette,IN47907rectangulartestcells.Theagreementbetweentheflowvisualizationresultsandtemperaturemeasurementsandth
4、enumericalmodelis,ingeneral,good.ItisfoundthattheamountoffluidpenetratingfromthefluidregionintotheporouslayerdependsstronglyontheDarcy(Da)andRayleigh(Ra)numbers.ForarelativelylowproductofRay.Da,theflowtakesplaceprimarilyinthefluidlayer,andheattransfe
5、rintheporouslayerisbyconductiononly.Onotherhand,fluidpenetratingintoarelativelyhighlypermeableporouslayerhasasignificantimpactonthenaturalconvectionflowpatternsintheentireenclosure.1IntroductionInterestinnaturalconvectionfluidflowandheattransferinHen
6、ce,theobjectiveofthepresentstudyistoinvestigatetheporousmediahasbeenmotivatedbyabroadrangeofapplica•naturalconvectionflowandheattransferinsuchasystem,tions,includinggeothermalsystems,crudeoilproduction,idealizedasaverticalrectangularenclosurepartiall
7、yfilledstorageofnuclearwastematerials,groundwaterpollution,withaverticalporouslayer.fiberandgranularinsulations,solidificationofcastings,etc.ResearchdevotedtonaturalconvectioninlayeredporousAcomprehensivereviewoftheliteratureisavailable(Cheng,mediais
8、relativelynew.Arecentreviewofthesubjecthasbeen1978).Inawidevarietyofsuchproblems,thephysicalsystemprovidedbyTienandHong(1985).Sun(1973),Nield(1977),canbemodeledasatwo-dimensional,rectangularenclosureandSomertonandCatton(1982)havestudiedconvectivein•f
