A_three-dimensional_numerical_simulation_of_impinging_jet_arrays_on_a_moving_plate

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Athree-dimensionalnumericalsimulationofimpingingjetarraysonamovingplateL.B.Y.Aldabbagha,*,A.A.MohamadbaMechanicalEngineeringDept.,EasternMediterraneanUniversity,Magosa,Mersin10,Turkey

bDept.ofMechanicalandManufacturingEngineering,TheUniversityofCalgary,Calgary,AB,T2N1N4,Canada

articleinfoArticlehistory:Received30January2009Receivedinrevisedform14May2009Accepted14May2009Availableonline9July2009

Keywords:MovingsurfaceJetarraysImpingingjet

abstractThestructureoftheflowfieldanditseffectontheheattransfercharacteristicsofajetarraysystemimpingingonamovingheatedplateareinvestigatednumericallyforReynoldsnumbersbetween100and400andforsteadystateconditions.Anarrayconsistingof24squarejets(3rowsÂ8columns)impingingonamovingheatedflatsurfaceisconsideredasarepresentativepattern.Thesimulationshavebeencarriedoutforjet-to-jetspacingintherange2D–5Dandfornozzleexittoplatedistanceof0.25D,whereDisthejetwidth.Thevelocityratiosofthemovingheatedplattothejetvelocity(Rm=up/uj)usedareintherange0.25–1.0.Theobtainedresultswerecomparedwithpublished

dataforthecaseoffixedheatedplate(Rm=0.0).TheresultsshowthatthestreamwiseprofileoftheNus-

seltnumberexhibitstrongperiodicoscillations,spatially.TheamplitudeoftheperiodicoscillationsoftheNusseltnumberisattenuatedasoneproceedsinthedownstreamdirection.Forsuchsmallnozzle-to-platespacingused,theresultsshowthattheratioRmhasnoeffectontheoscillationsofNusseltnumber.

Ó2009ElsevierLtd.Allrightsreserved.

1.IntroductionImpingingjetsareextensivelyusedtoproviderapidcoolingordryinginalargenumberofapplications.Amongtheseapplicationsarethetemperingofglass,dryingofpaperandtextiles,coolingofmetalsheets,micro-electroniccomponentsandturbineblades.However,thehighheattransfersrateswhichoccurintheimpinge-mentregionsofthejetsdecaysrapidlyawayfromthestagnationzones.Insubmergedjetarraystheexhaustfromtheupstreamjetsimposesacrossflowonthedownstreamjets.Thecrossfloweffectandtheinteractionbetweenthejetscausevariationsintheheattransferperformanceofindividualjetsinanarraywhichcanaffectthequalityoftheproductinmaterialprocessing.Jetinteractionproducesarathercomplexflowfieldinthearray.Theinclusionofimpingementsurfacemotionaddsanotherlevelofcomplexityintheanalysisduetothepresentofstrongshearregions.Thereforeathree-dimensionalmodelingisnecessaryinordertogetabasicunderstandingoftheessentialdynamicsoftheflowfield.Thereisalargenumberofexperimentalworksrelatedtoimpingementheattransferinjetarrays.GardonandAkfirat[1]car-riedoutanearlyworktomeasuretheheattransfercoefficientsoftwo-dimensionalslotjetsimpingingperpendiculartoanisother-malflatplate.TheinfluenceofcrossflowcausedbythespentaironheattransferinjetarraysystemshasbeeninvestigatedbyKer-cherandTabakoff[2],Metzgeretal.[3],Florschuetzetal.[4]andObotandTrabold[5].Thesestudiesshowthatcrossflowandadja-

centjetinteractionsdecreasethemagnitudeofheattransfercoef-ficientofindividualjetsinanarray.HeattransfercharacteristicsofliquidjetarraysimpingingnormaltoaheatedisofluxplatehasbeenstudiedexperimentallybyGarrettandWebb[6]fordifferentjet-to-jetspacingandheightofnozzles.ThedatarevealedstrongspatialoscillationsinthelocalNusseltnumberalongstreamwisedirection.Moreover,crossflowhastheeffectoftransformingtheconcentricisothermsaroundthestagnationpointintoellipticalshape.Allofthementionedworksconsideredjetarrayimpinge-mentonastationarysurface.AmongveryfewexperimentalstudiesinvolvingjetsimpingingonamovingflatsurfaceistheworkofSubbaRajuandSchlunder[7],concerningamovingflatsurfaceimpingedbyaturbulentslotairjet.Theexperimentwasperformedfordifferentnozzle-to-platespacing,severalReynoldsnumbersandthesurfacevelocitybe-tween0.15m/sand5.5m/swereconsidered.VanHeiningenetal.[8]conductedanexperimentalstudyofaturbulentslotairjetimpingingonalargerotatingdrum.Thetangentialvelocityofthemovingsurfacewaslessthan2%ofthejetvelocity.Comparingtheirresultswithpublishdataforaturbulentslotjetimpingingonastationarysurface,theyconcludedthat,forlowsurface-to-jetvelocityratios,theeffectofthewallmotionseemedtobenegligi-bleonthelocalheattransfer.Theflowfieldofaconfinedturbulentslotairjetimpingingnormallyonaflatsurfacehasbeeninvesti-gatedexperimentallybySenterandSolliec[9].Theexperimentswereconductedforanozzle-to-platespacingofeightslotnozzlewidths,atthreeReynoldsnumber(5300,8000,and10,600)andforsurface-to-jetvelocityratios(0,0.25,0.5,and1.0).Theycon-cludedthat,aslightmodificationoftheflowfieldisobservedfor

0017-9310/$-seefrontmatterÓ2009ElsevierLtd.Allrightsreserved.doi:10.1016/j.ijheatmasstransfer.2009.05.020