Tutorial3.PeriodicFlowandHeatTransferinaTubeBankIntroduction:Manyindustrialapplications,suchassteamgenerationinaboileroraircoolinginthecoilofanairconditioner,canbemodeledastwo-dimensionalperiodicheat ow.Thistutorialillustrateshowtosetupandsolveaperiodicheattransferproblem,givenapregeneratedmesh.Thesystemthatismodeledisabankoftubescontaininga owing uidatonetemperaturethatisimmersedinasecond uidincross- owatadi erenttemperature.Both uidsarewater,andthe owisclassi edaslaminarandsteady,withaReynoldsnumberofapproximately100.Themass owrateofthecross- owisknown,andthemodelisusedtopredictthe owandtemperature eldsthatresultfromconvectiveheattransfer.Duetosymmetryofthetubebank,andtheperiodicityofthe owinherentinthetubebankgeometry,onlyaportionofthegeometrywillbemodeledinFLUENT,withsymmetryappliedtotheouterboundaries.Theresultingmeshconsistsofaperiodicmodulewithsymmetry.Inthetutorial,thein owboundarywillberede nedasaperiodiczone,andtheout owboundaryde nedasitsshadow.Inthistutorialyouwilllearnhowto: Createperiodiczones De neaspeci edperiodicmass owrate Modelperiodicheattransferwithspeci edtemperaturebound-aryconditions Calculateasolutionusingthesegregatedsolver Plottemperaturepro lesonspeci edisosurfacesc FluentInc.August7,19983-1PeriodicFlowandHeatTransferinaTubeBankPrerequisites:ThistutorialassumesthatyouarefamiliarwiththemenustructureinFLUENTandthatyouhavesolvedorreadTu-torial1.Somestepswillnotbeshownexplicitly.ProblemDescription:Thisproblemconsidersa2Dsectionofatubebank.AschematicoftheproblemisshowninFigure3.1.Thebankconsistsofuniformlyspacedtubeswithadiameterof1cm,thatarestaggeredinthedirectionofcross- uid ow.Theircentersareseparatedbyadistanceof2cminthexdirection,and1cmintheydirection.Thebankhasadepthof1m.Becauseofthesymmetryofthetubebankgeometry,onlyaportionofthedomainneedstobemodeled.ThecomputationaldomainisshowninoutlineinFigure3.1.Amass owrateof0.05kg/sisappliedtothein owboundaryoftheperiodicmodule.Thetem-peratureofthetubewall(Twall)is400Kandthebulktemperatureofthecross- owwater(T1)is300K.ThepropertiesofwaterthatareusedinthemodelareshowninFigure3.1.3-2c FluentInc.August7,1998PeriodicFlowandHeatTransferinaTubeBank1cmΤ∞=300K4cm0.5cmΤwall=400K{m=0.05kg/s⋅ρ=998.2kg/m3=0.001003kg/m-sμ=4182J/kg-K=0.6W/m-KcpkFigure3.1:SchematicoftheProblemPreparation1.Copythe le/fluent_inc/fluent5/tut/tubebank/tubebank.mshfromtheFLUENTtutorialCDtoyourworkingdirectory.2.Startthe2DversionofFLUENT.c FluentInc.August7,19983-3PeriodicFlowandHeatTransferinaTubeBankStep1:Grid1.Readinthemesh letubebank.msh.File !Read !Case...2.Checkthegrid.Grid !CheckFLUENTwillperformvariouschecksonthemeshandwillreporttheprogressintheconsolewindow.Payparticularattentiontothereportedminimumvolume.Makesurethisisapositivenumber.3.Scalethegrid.Grid !Scale...(a)IntheUnitsConversiondrop-downlist,selectcmtocompletethephraseGridWasCreatedIncm(centimeters).(b)ClickonScaletoscalethegrid.The nalDomainExtentsshouldappearasinthepanelabove.3-4c FluentInc.August7,1998PeriodicFlowandHeatTransferinaTubeBank4.Displaythemesh(Figure3.2).Display !Grid...GridFLUENT5.0(2d,segregated,lam)Apr13,1998Figure3.2:MeshforthePeriodicTubeBankc FluentInc.August7,19983-5PeriodicFlowandHeatTransferinaTubeBankInFigure3.2youcanseethatquadrilateralcellsareusedintheregionssurroundingthetubewalls,andtriangularcellsareusedfortherestofthedomain,resultingina\hybridmesh.Thequadri-lateralcellsprovidebetterresolutionoftheviscousgradientsnearthetubewalls.Theremainderofthecomputationaldomainiscon-veniently lledwithtriangularcells.Extra:Youcanusetherightmousebuttontocheckwhichzonenumbercorrespondstoeachboundary.Ifyouclicktherightmousebuttonononeoftheboundariesinthegraphicswindow,itszonenumber,name,andtypewillbeprintedintheFLU-ENTconsolewindow.Thisfeatureisespeciallyusefulwhenyouhaveseveralzonesofthesametypeandyouwanttodis-tinguishbetweenthemquickly.3-6c FluentInc.August7,1998PeriodicFlowandHeatTransferinaTubeBank5.Createtheperiodiczone.wall-9andwall-12,thein owandout owboundaries,respectively,arecurrentlyde nedaswallzonesandneedtoberede nedaspe-riodic.wall-9willbemadeintoatranslationallyperiodiczone,andwall-12willbedeletedandrede nedaswall-9’speriodicshadow.(a)Intheconsolewindow,typethecommandsshowninboxesinthedialogbelow.Hint:YoumayneedtoenteraCRtogettheprompt.grid/modify-zones/make-periodicPeriodiczone[()]9Shadowzone[()]12Rotationalperiodic?(ifno,translational)[yes]noCreateperiodiczones?[yes]yescomputedtranslationdeltas:0.0400000.000000all26facesmatchedforzones9and12.zone12deletedcreatedperiodiczones.c FluentInc.August7,19983-7PeriodicFlowandHeatTransferinaTubeBankStep2:Models1.Keepthedefaultsolversettings.De ne !Models !Solver...2.Enableheattransferbyactivatingtheenergyequation.De ne !Models !Energy...3-8c FluentInc.August7,1998PeriodicFlowandHeatTransferinaTubeBank3.Settheperiodic owconditions.De ne !PeriodicConditions...(a)SelectSpecifyMassFlowunderType.ThiswillallowyoutospecifytheMassFlowRate.(b)EnteraMassFlowRateof0.05kg/s.(c)ClickOK.c FluentInc.August7,19983-9PeriodicFlowandHeatTransferinaTubeB