板翅式换热器.docx

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1、AnalyticalModelingofForcedConvectioninSlottedPlateFinHeatSinksP.Teertstra,J.R.Culham†andM.M.Yovanovich‡MicroelectronicsHeatTransferLaboratoryDepartmentofMechanicalEngineeringUniversityofWaterlooWaterloo,Ontario,CanadaABSTRACTAnalyticalmodelsaredevelopedfortheaverageheattransferrateinforc

2、edconvection-cooled,slottedfinheatsinks.Thesemodelsfortheupperandlowerboundscanbeusedtoinvestigatetheeectsofslotsizeandplacementonheatsinkperformance.Exper-imentalmeasurementsareperformedforavarietyofslotconfigurationsoverarangeofReynoldsnumbers,andthesedataarecomparedwiththeproposedan-a

3、lyticalmodels.Anapproximatemodelisproposedthatpredictstheexperimentalresultsfortheaverageheattransferratetowithina12%RMSdierence.NOMENCLATUREA=channelsurfacearea,m2Aa=approachflowcrosssectionarea,m2Ao=heatsinkflowcrosssectionarea,m2b=channelspacing,mg=gravitationalacceleration(m/s2)h=ave

4、rageheattransfercoecient,W/m2KH=finheight,mk=finthermalconductivity,W/mKkf=fluidthermalconductivity,W/mKL=baseplatelength,mm˙=massflowrate,kg/sn=compositemodelcombinationparameterGraduateResearchAssistant†ResearchAssociateProfessorandMember,ASME‡ProfessorandFellow,ASMEN=numberoffinsNs=n

5、umberofslotsNub=Nusseltnumber,≡(Qb)/(kfA∆T)Nui=idealNusseltnumber,η=1P=slotpitch,mPr=Prandtlnumber,≡ν/αQ=totalheattransferrate,WR=thermalresistance,≡1/hA,oC/WReb=Reynoldsnumber,≡Ub/νReb=channelReynoldsnumber,≡Reb·(b/L)S=slotwidth,mTa=inletairtemperature,oCTf=filmtemperature,≡(Ts+Ta)/2,oC

6、Ts=baseplatetemperature,oC∆T=temperaturedierence,≡Ts−Ta,oCt=finthickness,mU=averagevelocityinchannel,m/sUa=approachvelocity,m/sW=baseplatewidth,mGreekSymbolsα=thermaldiusivity(m2/s)β=thermalexpansioncoecient(1/K)η=fineciency,≡Nub/Nuiν=kinematicviscosity(m2/s)Subscriptsdev=developingfd=fu

7、llydevelopedLB=lowerboundUB=upperboundINTRODUCTIONFinnedheatsinksarecommonlyusedforenhancingheattransferinair-cooledmicroelectronicsandpowerelectronicsapplications.Theuseoffinnedheatsinksreducesthethermalresistanceandoperatingtemper-aturesofcomponentsandassembliesbyincrea