Optimization of Plate Fin Heat Sinks Using Entropy

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1、IEEETRANSACTIONSONCOMPONENTSANDPACKAGINGTECHNOLOGIES,VOL.24,NO.2,JUNE2001159OptimizationofPlateFinHeatSinksUsingEntropyGenerationMinimizationJ.RichardCulham,Member,IEEE,andYuriS.MuzychkaAbstract—Thespecificationanddesignofheatsinksforelec-Finlengthinm.tronicapplicationsisnoteasilyaccomplis

2、hedthroughtheuseofDimensionlessfinlength.conventionalthermalanalysistoolsbecause“optimized”geometricFinparameterm.andboundaryconditionsarenotknownapriori.AprocedureisNumberoffins.presentedthatallowsthesimultaneousoptimizationofheatsinkdesignparametersbasedonaminimizationoftheentropygen-Per

3、imeterinm.erationassociatedwithheattransferandfluidfriction.Allrele-Pressuredropinmm.vantdesignparametersforplatefinheatsinks,includinggeometricPrandtlnumber.parameters,heatdissipation,materialpropertiesandflowcondi-HeatflowrateinW.tionscanbesimultaneouslyoptimizedtocharacterizeaheatsinkTh

4、ermalresistanceinC/W.thatminimizesentropygenerationandinturnresultsinamin-imumoperatingtemperature.Inaddition,anovelapproachforChannelReynoldsnumber.incorporatingforcedconvectionthroughthespecificationofafanModifiedchannelReynoldsnumbercurveisintegratedintotheoptimizationprocedure,providin

5、ga.linkbetweenoptimizeddesignparametersandthesystemoper-EntropygenerationrateinW/C.atingpoint.ExamplesarepresentedthatdemonstratetherobustFinthicknessinm.natureofthemodelforconditionstypicallyfoundinelectronicap-plications.ThemodelisshowntoconvergetoauniquesolutionthatBaseplatethickneesinm

6、.givestheoptimizeddesignconditionsfortheimposedproblemcon-TemperatureinC.straints.Velocityinm/s.IndexTerms—Electronicscooling,entropyproduction,forcedChannelvelocityinm/s.convection,heatsink,optimization.Heatsinkwidthinm.GreekNOMENCLATURESurfaceareainm.Densityinkg/m.Cross-sectionalareainm.

7、Fractionoffrontalfreeflowarea.Totalfrontalareaofheatsink.TemperatureexcessK.Finprofilearea.Volumetricflowrateinl/s.Finspacinginm.Hydraulicdiameterm.SubscriptsFrictionfactorandapparentfrictionfactor,respec-tively.Ambient.Dragforcekgm/s.Baseplate.Minimizingfunct