Natural convection flows in porous trapezoidal enclosures with various

Natural convection flows in porous trapezoidal enclosures with various

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时间:2019-08-01

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1、InternationalJournalofHeatandMassTransfer52(2009)4612–4623ContentslistsavailableatScienceDirectInternationalJournalofHeatandMassTransferjournalhomepage:www.elsevier.com/locate/ijhmtNaturalconvectionflowsinporoustrapezoidalenclosureswithvariousinclinationanglesabba,*TanmayBasak,S.Roy,AmitSin

2、gh,A.R.BalakrishnanaDepartmentofChemicalEngineering,IndianInstituteofTechnologyMadras,Chennai600036,IndiabDepartmentofMathematics,IndianInstituteofTechnologyMadras,Chennai600036,IndiaarticleinfoabstractArticlehistory:Simulationswerecarriedoutusingpenaltyfiniteelementanalysiswithbi-quadratic

3、elementstoinves-Received14May2008tigatetheinfluenceofuniformandnon-uniformheatingofbottomwallwithinatrapezoidalenclosureofReceivedinrevisedform19January2009variousinclinationanglesðuÞ.ParametricstudyhasbeencarriedoutforawiderangeofRayleighnumberAccepted22January2009363ðRaÞð106Ra610Þ,Prandt

4、lnumberðPrÞð0:0266Pr6988:24ÞandDarcynumberðDaÞð106Availableonline4May20095Da610Þ.Numericalresultsarepresentedintermsofstreamfunctions,isothermcontoursandNusseltnumbers.TheheattransferisprimarilyduetoconductionatlowervaluesofDarcynumberðDaÞandcon-Keywords:vectiondominantheattransferisobser

5、vedathigherDavalues.TheintensityofcirculationincreaseswithPenaltyfiniteelementmethodincreaseinDarcynumber.IncreaseintheintensityofcirculationsandlargertemperaturegradientareNaturalconvectionPorousmediumalsoobservedwithincreaseinufrom0°to45°especiallyatlargerPrandRa.Non-uniformheatingofTrape

6、zoidalcavitythebottomwallproducesgreaterheattransferrateatthecenterofthebottomwallthanuniformheatingVariousanglesatallRayleighandDarcynumbers,butaverageNusseltnumberislowerfornon-uniformheating.LocalUniformandnon-uniformheatingheattransferratesarefoundtoberelativelygreaterforu¼0.Itisobser

7、vedthatthelocalheattransferrateatthecentralportionofbottomwallislargerfornon-uniformheatingcase.AverageNusseltnumberplotsshowhigherheattransferratesatthebottomwallforu¼0ascomparedtou¼45andu¼30.Itisobservedthattheaverageheattransferrateatthebottomwallisfound

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