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HeatLecture14Naturalconvection&phaseCollegeofEngineeringPekingUniversity2 Laminarflowincircular velocityboundarylayerthickensonsurfaceoftubeincreasing inviscidregionofuniformvelocityshrinksasboundary subsequenttoboundarylayermergeratthecenterline,hd illfll uhd illfll uu3Free(Natural)4FreeConvection(orNatural fluidmotioninducedbybuoyancyBuoyancyforcesarisewhentherearedensitygradientsafluidandabodyforceproportionalto Densitydue

temperaturegradient(inthislikeduetoconcentration Bodygravity(functionofotherslikecentrifugalWhynulcearpowerplantshopetohavenaturalcooling(takewarningofJapanFukushimanucleardisaster)Whywehavetokeeplowtobreathewhen fromfireaccidentplaceSolartower(hotwind Bottomdiameter>6 Internalvs. freeconvectioncanbegeneratedalongafreesurface inaduct管道、槽orenclosureinbothinternal&externalcases,freeconvectioncaninteractwithforcedconvection(mixedconvection)Boundary7BoundaryLayerdevelopmentonavertical heatedplate:ascendingflow umvelocityoccurringinboundarylayerandzerovelocityattheplateandinthefreeCompare8Transitionto similartoforcedflows,freeconvectionflowstransitionfromalaminarstatetoaturbulent infreeconvection,amplificationofdisturbancesonrelativemagnitudeofbuoyancyandviscousCriticalRayleigh Pr

verticalflatDimensionless9 PertinentDimensionless GrashoffgTsT

buoyancyforceAsitincreases:Gr

esfrictionandinduces

viscous

kinematicviscosityof

Lcharacteristic

ideal1[K-1T CopmaredtoReynoldsnumberforforced

uL~inertial viscous RayleighgT

comparabletoPecletnumber(Pe)forRaLGrLPr

BoundaryLayer(Laminar,BoussinesqapproximationgTgTT Xdirectionmomentum:uxvyy2idealuv

1[K-1]T T

T cpu

vyky2 Boussinesqapproximation:a.densitychangeonlyconsideredinthebodyforceterm;b.Usingsimplifiedexpressionfordensitychange.theenergyandmomentumequationsarenowcoupledmustsolvedconcurrentlybecausesolutionsaremutuallyRefertothesupportinginformationattheendofpptfordetailed Velocity TemperatureHeatTransferOnlyempiricalrelationsexistformostImmersedVertical averageNusseltnumbeL

nC n1/n

NuLk

C n1/

Churchill&Chucorrelation:la1inarflow4L Churchill&Chucorrelation:all1low 0.387Ra NuL0.825 27 10.492Pr16 ExternalInclined&Horizontal buoyancyforceisnotparalleltohorizontal:perpendicularbuoyancyinclined:angledbuoyancy flowandheattransferdependthermalconditionofplate:heatedororientation:facingupwardorcooled

facingup

cooledfacingheated

facingup

facingdownInternalParallel similartointernalforcedconvection,buoyancy-inducedboundarylayersdeveloponbothplates boundarylayerscanmergetogeneratefullydevelopedflowconditionsinsufficientlylong(L)andcloselyspaced(S)channelsotherwisethechannelbehavesastwoisolatedplates channelsoftenconsideredvertical(θ=0°)orinclinedflowsmorecomplexandoftenresultindimensionalflowBenard-cellOnlyempiricalcorrelationsexistformost“real”MixedMixed aconditionwherebothfreeandforcedconvectioneffectsare freeconvectioncanassist,oppose,oractorthogonallytoforcedWhenismixedconvection anassessmentofscalesisconductedthroughacomparisonoffreeandnon-dimensionalbuoyancyforce~

freeconvectiondominatesmixedconvectioncondition

NuLf fRe,Grinertial

Re2L

forcedconvection

NuLfAffectonheat+- forcedandfree+-Nun

n37 L, L,7

n

or4Briefintroductionaboutphase-changeheattransferPhaseLatentheatofwater*:2.26MJ/*1calory=Boilingisassociatedwithtransformationofliquidtovaporatasolid/liquidinterface(heterogeneousboiling)orinbulkliquid(homogeneousInmostcases,heterogeneousOna OnaSystempressureSystempressure

PvTv

saturationtemperatureq 均相沸腾非均相沸腾

Homogeneous需要较高过热度tl

Pl;;过程剧烈 Heterogeneous

概念和分铜表超疏水核HeterogeneousPoolLiquidmotionisduetonaturalconvectionandbubble-inducedForcedConvectionFluidmotionisinducedbyexternalmeans,aswellasbybubble-inducedSaturatedLiquidtemperatureisslightlyhigherthansaturationSubcooledLiquidtemperatureislessthansaturationBoilingcurveofsaturatedpoolRevealsrangeofconditionsassociatedwithsaturatedpoolboilingon Example:awateratatmosphericpressure,onanichromeorplatinumFreeConvectionBoilingΔTeLittlevaporLiquidmotionisdueprincipallytosingle-phasenaturalOnsetofNucleateBoiling-ONBΔTeNucleateBoiling5ΔTeCriticalHeatFlux-CriticalHeatFlux-umattainableheatfluxinnucleatePotentialPotentialBurnoutforPower-ControlledAnincreaseinqsbeyondqmaxcausesthesurfacetobeblanketedbyvapor,andthesurfacetemperaturecanspontaneouslyachieveavaluethatpotentiallyexceedsitsmeltingpointIfthesurfacesurvivesthetemperatureshock,conditionsarebyfilmFilmHeattransferisbyconductionradiationacrossthevapor AreductioninqsfollowsthecoolingcurvecontinuouslytotheLeidenfrostpointcorrespondingtotheminimumheatfluxqminforfilmboiling.TransitionBoilingforTemperature-ControlledSurfaceconditionsoscillatebetweennucleateandfilmboiling,butportionofsurfaceexperiencingfilmboilingincreaseswithΔTe.AlsotermedunstableorpartialfilmHeatCappillaryheatGravityheatHeatedendmustbeatthebottom,重力工作范围-60~80。长低温高温寒季/暖季

7-7-7-7-ChapterReviewquestionsPage(443)Supporting uv

vuF

2u y

v

2cp

y

Fx

pgx

2 11 dpg

dp动量方程变 u

就是重力场中由于密度差而产生的浮升力项

x

gy

yBoussinesq近 为了推导该近似,把密度展开 级(p,t) (tt)(pp)...

t

p 密度

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