Fluid Mechanics (BRUCE R. MUNSON) Chapter7 Similitude, Dimensional Analysis, and Modeling

Fluid Mechanics (BRUCE R. MUNSON) Chapter7 Similitude, Dimensional Analysis, and Modeling

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时间:2019-08-18

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1、7708d_c07_384*7/23/0110:00AMPage384FlowpastacircularcylinderwithRe2000:Thepathlinesofflowpastanycircularcylinder1regardlessofsize,velocity,orfluid2areasshownprovidedthatthedimensionlessparametercalledtheReynoldsnumber,Re,isequalto2000.ForothervaluesofRe,theflowpatternwill

2、bedifferent1airbubblesinwater2.1PhotographcourtesyofONERA,France.27708d_c07_384*7/23/0110:00AMPage3857Similitude,DimensionalAnalysis,andModelingAlthoughmanypracticalengineeringproblemsinvolvingfluidmechanicscanbesolvedbyusingtheequationsandanalyticalproceduresdescribedinth

3、eprecedingchapters,therere-mainalargenumberofproblemsthatrelyonexperimentallyobtaineddatafortheirsolu-tion.Infact,itisprobablyfairtosaythatveryfewproblemsinvolvingrealfluidscanbeExperimentationsolvedbyanalysisalone.Thesolutiontomanyproblemsisachievedthroughtheuseofaandmode

4、lingarecombinationofanalysisandexperimentaldata.Thus,engineersworkingonfluidmechanicswidelyusedtech-problemsshouldbefamiliarwiththeexperimentalapproachtotheseproblemssothattheyniquesinfluidcaninterpretandmakeuseofdataobtainedbyothers,suchasmightappearinhandbooks,mechanics.

5、orbeabletoplanandexecutethenecessaryexperimentsintheirownlaboratories.Inthischapterweconsidersometechniquesandideasthatareimportantintheplanningandexe-cutionofexperiments,aswellasinunderstandingandcorrelatingdatathatmayhavebeenobtainedbyotherexperimenters.Anobviousgoalofan

6、yexperimentistomaketheresultsaswidelyapplicableaspos-sible.Toachievethisend,theconceptofsimilitudeisoftenusedsothatmeasurementsmadeononesystem1forexample,inthelaboratory2canbeusedtodescribethebehaviorofothersimilarsystems1outsidethelaboratory2.Thelaboratorysystemsareusuall

7、ythoughtofasmodelsandareusedtostudythephenomenonofinterestundercarefullycontrolledcondi-tions.Fromthesemodelstudies,empiricalformulationscanbedeveloped,orspecificpre-dictionsofoneormorecharacteristicsofsomeothersimilarsystemcanbemade.Todothis,itisnecessarytoestablishtherel

8、ationshipbetweenthelaboratorymodelandthe“other”sys-tem.Inthefollowingsections,wefindoutho

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