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1、Inf.J.HcutMussTrrrmufer.Vol.34,No.6,pp.1327-1336,19910017~9310/91$3.00+0.00PrmtedinGreatBritainCC1991PergamonPressplcNaturalconvectionnearaverticalcornerofanarbitraryangleMANHOEKIM,?MOON-UHNKIMIandDOHYUNGCHOIttDepartmentofMechanicalEngineering,KoreaAdvancedInsti
2、tuteofScienceandTechnology,P.O.Box150,Cheongryang,Seoul,Korea$DepartmentofAppliedMathematics,KoreaAdvancedInstituteofScienceandTechnology,P.O.Box150,Cheongryang,Seoul,Korea(Received28November1988)Abstract-Thelaminarnatural-convectionheattransfernearaverticalcorn
3、erofanarbitraryangleispresented.ForlargeGrashofnumbers,thecorner-layerequationsandappropriateboundaryconditionsareformulatedinanobliquecoordinatesystembasedonthemethodofmatchedasymptoticexpansions.Theanalysisisvalidforanycomeranglesexceptthelimitingangles0and360
4、.ThevelocityandtemperaturedistributionsarenumericallydeterminedusingthefinitedifferencetechniqueofADItypeforcorneranglesrangingfrom60to300forPrandtlnumbersof0.72and7.0.1.INTRODUCTIONwiththehigh-Reynolds-numberflowinastreamwisecornerofarbitraryangle.ONEOFthefunda
5、mentalproblemsinnaturalcon-vectionisthebuoyancy-drivenflowfromthesurfacescomposedofsimplebodiessuchasflatplatesand2.CORNER-LAYEREQUATIONScylinders.Theheattransfercharacteristicsofthecom-Weconsiderthelaminarnatural-convectionflowbinationbodiesarequitedifferentfro
6、mthoseofthealongthecornerformedbytheintersectionoftwoindividualbodiesduetothemutualinteractionoftheverticalquarter-infiniteplates.Asuitableframeofboundarylayers.Becauseofthesecharacteristicsandreferenceforthisproblemisanon-orthogonalobliquetheimportanceinpractic
7、alapplications,thenaturalcoordinatesystem(x,,y,,z,,)depictedinFig.1.Theconvectionboundary-layerinteractionproblemhasoriginisinthesymmetryplaneattheleadingedgeattractedmanyinvestigators.andthex0axiscoincideswiththeintersection.BothAsforthetwo-dimensionalflow,thes
8、ubjecthasy,andz.axesareperpendiculartothex0axisandbeenstudiedextensivelyforvariousgeometries[l-lie,respectively,inthesymmetryplaneandinoneof41.Ontheotherhand,theliter
