【报告】2022年D题优秀论文.pdfVIP

TeamDapmcm2201058

TeamNumber:apmcm2201058

ProblemChosen:D

Topologyandfractaloptimizationofheattransferfins

Abstract

Incorporatingfinsintoheatstoragetankisaneffectiveapproachtoovercomethe

lowthermalconductivityofphasechangematerials(PCMs)andenhancetheheat

transferefficiency.Theoptimalconfigurationanddistributionoffinsarenumerically

obtainedbytopologyandfractaloptimization.

Forquestion1,atwo-dimensionalfiniteelementmodel(FEM)of

computationalfluiddynamics(CFD)isestablishedtoinvestigatetheheattransfer

process.Theenthalpy-porositymethodisusedtodescribethephasechangeofPCM.

Thephasechangestartsaroundtherectangularfinsandsubsequentlyextendstothe

outertankwall,causingthePCMtovaryfromthesolidtoliquidphase.Considering

thePCMtemperaturerisingfrom293Kto333K,theinitialphasechangetime()at

1

theof72°,60°,45°,36°,30°and24°are47.6min,39.2min,31.4min,25.2min,

20.7min,17.2min,a

ndthecompletephasechangetime()are158.5min,142.9min,

2

123.4min,106.2min,92.4min,and81.9min,respectively.The,liquidfraction(f),

1m

andenhancementratio(E)areadoptedasindicatorstoevaluatethermalbehaviors.

R

Theoptimalis24°withminimumof17.2minandmaximumof12.3%.

Forquestion2,theeffectoffinlength(,andwidth(oftriangularfins

aresystematicallyinvest