Coupled Wall Heat Conduction and Coolant Flow Analysis for Liquid Rocket Engines

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1、JOURNALOFPROPULSIONANDPOWERVol.29,No.1,January–February2013CoupledWallHeatConductionandCoolantFlowAnalysisforLiquidRocketEnginesMarcoPizzarelli,∗FrancescoNasuti,†andMarcelloOnofri‡UniversityofRome“LaSapienza”,00185Rome,ItalyDOI:10.2514/1.B34533Coolantflowmodelinginregenerativelycool

2、edrocketenginesfedwithturbomachineryisachallengingtaskbecauseofthehighwalltemperaturegradient,thehighReynoldsnumber,thehighaspectratioofthechannelcrosssection,andtheheattransfercouplingwiththehot-gasflowandthesolidmaterial.Inthisstudytheeffectofwallheatconductiononthecoolantflowisan

3、alyzedbymeansofcoupledcomputationsbetweenavalidatedReynolds-averagedNavier–StokesequationssolverforthecoolantflowfieldandaFourier’sequationsolverforthethermalconductioninthesolidmaterial.Computationsofsupercritical-hydrogenflowinastraightchannelwithandwithoutcouplingwiththesolidmate

4、rialareperformedandcomparedtounderstandtheroleplayedbythecouplingonthecoolantflowevolution.Finally,thewholecoolingcircuitofthespaceshuttlemainenginemaincombustionchamberisanalyzedindetailanddiscussedforthesakeofcomparisonofresultsobtainedwiththepresentcoupledprocedurewithavailableli

5、teraturedata.Nomenclatureb=channelwidthSubscriptsc=specificheat0=stagnationDh=hydraulicdiameteraw=adiabaticwallE=totalenergyperunitvolumec=combustionchambere=internalenergye=exitG=massflowrateperunitareah=hot-gassideh=channelheighti=inlethc=coolantsideheattransfercoefficientw=wallhg

6、=hot-gassideheattransfercoefficientk=thermalconductivityl=channellengthm_=massflowrateI.Introductionn=unitvectornormaltocontrolsurfaceOKEEPthetemperatureofthethrustchamberwallswithintheirp=pressureTallowedlimitsdespitethehugehot-gastemperature,anintenseQ=heattransferratecoolingeffor

7、tisnecessary,which,incaseofregenerativecooling,isq=heatfluxachievedbyflowingoneofthepropellantsintosuitablechannelsRe=Reynoldsnumber,GDh∕μisurroundingthethrustchamber(Fig.1).Coolingchannelsofhigh-r=chamberradiusperformancerocketenginesaregenerallycharacterizedbyhighS=controlsurfacea

8、spectratioofthecros