Natural convective heat transfer in a fluid

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1、Inf.J.HeatManTramfir.Vol.40,No.16,pp.395>3967,199701997ElsevierScienceLtd.AllrightsreservedPergamonPrintedinGreatBritain0017-9310197117.00+0.00PI1:SOOl7-9310(97)00008-2NaturalconvectiveheattransferinafluidsaturatedvariableporositymediumI’.NITHIARASU,K.N.SEETHARAMUandT.SUNDARARAJANDepartmen

2、tofMechanicalEngineering,IndianInstituteofTechnology,Madras600036,India(Received20October1995andinjinalform5November1996)Abstract-Ageneralisednon-Darcianporousmediummodelfornaturalconvectiveflowhasbeendevelopedtakingintoaccountlinearandnon-linearmatrixdragcomponentsaswellastheinertialandvi

3、scousforceswithinthefluid.Theresultsofthegeneralmodelhavebeenvalidatedwiththehelpofexperimentaldataandcomparedwiththevariousnon-Darcyporousmediamodelpredictionsreportedinliterature.IthasbeenobservedthatthewallNusseltnumberissignificantlyaffectedbythecombinationofdimensionlessparameterssuch

4、asRayleighnumber,Darcynumberandporosityinthenon-Darcyflowregime.Admctailedparametricstudyhasbeenpresentedfornaturalconvectiveflowinsidearectangularenclosurefilledwithsaturatedporousmediumofconstantorvariableporosity.Itisobservedthatthethicknessoftheporouslayerandthenatureofvariationinporos

5、itysignificantlyaffectthenaturalconvectivefl.owpatternaswellastheheattransferfeatures.Thepresentmodelisalsoabletopredictthechannelingmzffectandassociatedheattransferinforcedflowthroughpackedbeds.01997ElsevierScienceLtd.1,INTRODUCTIONtoapplicationsingeothermalsystems.NieldandBejan[2]givenan

6、excellentsummaryofthesubject.FlowsthroughporousmediaoccurinawidevarietyRegardingporousmediamodels,thephenom-ofapplicationssuchasgeothermalenergysystems,enologicalrelationbetweenthepressuredropacrosssecondaryandtertiaryoilrecovery,preventionofsub-asaturatedporousmediumandtheflowratewasfirst

7、soilwaterpollution,etc.Inrecenttimes,porousmediaestablishedbyDarcy(1856).SeveralauthorshavemodelsarealsobeingappliedforsimulatingmoresinceusedtheDarcy’srelationoritsmodifiedforms,generalisedsituationssuchasflowthroughpackedformodellingavarietyofporousmediaflow