The influence of vapor-liquid interactions on the liquid pressure drop in triangular microgrooves

The influence of vapor-liquid interactions on the liquid pressure drop in triangular microgrooves

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1、Znl.J.ZZearMassTramfer.Vol.37,No.15,pp.2211-2219,1994CopyrightQ1994ElsevierScienceLtdPergamonPrint&&&eatBritain.Allrightsreserved0017-9310/94s7.oo+o.oo0017-9310(94)EOOX-3Theinfluenceofvapor-liquidinteractionsontheliquidpressuredropintriangularmicrogroovesH.B.M

2、A,G.P.PETERSON?andX.J.LUDepartmentofMechanicalEngineering,TexasA&MUniversity,CollegeStation,TX77843,U.S.A.(Received10November1993andinfinalj&w2XJanuary1994)Abstract-Presentedhereinisamathematicalmodeloftheliquidpressuredropoccurringintriangulargrooves.Themodel

3、considerstheinterfacialshearstressesduetoliquid-vaporfrictionalinteraction,andadimensionlessvapor-liquidinterfaceflownumber,L,,isintroduced.Resultsarereportedforchannelanglesrangingfrom20to60”,contactanglesfrom0to60”,anddimensionlessvapor-liquidinterfaceflownu

4、mbersof0,0.25,0.5,0.75,and1.TheseresultsindicatethatthefrictionfactorReynoldsnumberproduct1sstronglydependentuponthechannelangle,thecontactangle,andthedimensionlessvapor-liquidinterfaceflownumber.ThepredictedresultsagreewellwiththedocumentedandavaiIableexperim

5、entaldataforthecasesL,=1andL,=0.INTRODUCTIONsomeerrorwasintroducedduetothisassumption.ThisworkwasfollowedbyamodelthatincludedSMALLOR“microgrooves”ofvariousshapesandsizestermstoaccountfortheinterfacialandvaporshearhavebeenemployedinawidevarietyofapplicationsstr

6、ess[5].Incalculatingthefrictionfactor,however,inthechemicalprocessindustrytoenhancetheheatthismodelagainassumednofrictionalvapor-liquidtransferandpromotetheflowofliquidtosurfacesinteractionontheliquidflow,duetothelackofawhereevaporationoccursandawayfromcondens

7、ingmethodforestimatingthecorrectfrictionfactor.surfaces.BecauseofthepotentialcostsavingsAsearlyas1964,Sparrowetal.[4]investigatedtheinvolved,numerousinvestigationshavebeenconducted.flowinsideinternallyfinnedannularflowpassagesandTherecentdevelopmentofmicroheat

8、pipesforuseinobtainedananalyticalsolutionforthepressuredropthethermalcontrolofhighpowertransistors,LSIandinfullydevelopedlaminarflow.TheresultsobtainedVLSIcircuits,andavionicspacka

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