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FluidMechanics
FluidMechanicsPrefaceContentsTeachingContents——
InClassroomExperimentalProjects——
InTeachingLabTotalhours:54Classroomteachinghours:48Practicehours:6PrefaceContentsTeachingConteTeachingContents
(1)PartA
(Totalhours:36)A1Introduction(4hours)A2Fluidstatics(6hours)A3Fluidkinematics(6hours)A4Fluiddynamics(6hours)A5Laminarflow,turbulentflowandenergyloss(8hours)A6Pipeflowandcalculationofpipeline(4hours)A7Similaritytheoryanddimensionalanalysis(2hours)FundamentalTeachingContents(1)PartA(TPartB
(Totalhours:8)B1Streamfunctionsandpotentialfunctions,frictionlessirrotationalflow(4hours)B2Boundarylayertheoryandflowpastbody(4hours)PartC
(Totalhours:4)C1ResaerchprogressinFluidMechancis(1hour)C2Modernflowmeasurementtechnologies(1hour)C3IntroductiontonumericalsimulationofturbulenceflowandcommercialsoftwaresofCFD(2hours)TeachingContents
(2)ExtendedcontentsFundamentalPartB(Totalhours:8)B1StrPartAandPartBarethefoundationofFluidMechanics,PartCistheextendedcontentsandrefertosomepracticalproblems.Thiscoursealsopaysmuchattentiontotheprevalenceofmodernfluidmechanics,forexample,theintroductiontothetheoryofturbulenceboundarylayerandthesketchofcomputationalfluiddynamics(CFD)willhelpyourfurtherapplicationsafteryourgraduation.TeachingContents
(3)PartAandPartBarethefounExperimentalProjects(1)In-class(Required)(Totalhours:6)E1Hydrostatics(1hour)E2VelocitymeasurementwithPitottube(1hour)E3FlowmeasurementwithVenturitube(1hour)E4VerificationofBernoulliequation(1hour)E5Reynoldsexperiment(1hour)E6Measurementoffrictionlosscoefficientforcircularpipeflow(1hour)ExperimentalProjects(1)In-clExperimentalProjects(2)After-class(Totalhours:6-8)E1Liquidviscositymeasurement(1hour)(Optional)E2Demonstratingexperimentaboutflowpatternandstreamline(1hour)(Required)E3Measurementoflocallosscoefficientforcircularpipeflow(1hour)(Required)E4DemonstratingexperimentaboutSiphonprinciple(1hour)(Required)E5Demonstratingexperimentaboutflowaroundairfoilandcylinder(1hour)(Required)E6Demonstratingexperimentaboutvortexformation(1hour)(Required)E7Self-designingexperiments(1hour)(Optional)ExperimentalProjects(2)AfteTextbook
FrankM.White.FluidMechanics.McGrawHillHigherEducation,7thRevisededition,2010.2TextbookFrankM.White.FluidReferencesE.JohnFinnemore,JosephB.Franzini.FluidMechanicswithEngineeringApplications.McGraw-HillHigherEducation,10thRevisededition,2001.10ReferencesE.JohnFinnemore,JReferencesJinXiaohong,LiYuanhui.FluidMechanics(bilingualTeaching).Beijing:ChinaPowerPress,2011.9ReferencesJinXiaohong,LiYu5%attendance10%homework10%requiredexperiments5%optionalexperiments70%finalexamGrades5%attendanceGradesChapter1Introduction
Whenyouthinkaboutit,almosteverythingonthisplaneteitherisafluid
ormoveswithinornearafluid.
——FrankM.WhitePreliminaryRemarksFluidcanbefoundalmosteverywhereontheearth!Chapter1IntroductionOverviewofFluidMechanics
Theconceptof
fluid
Theprimaryphysicalpropertyoffluid
Studyobjectsof
FluidMechanics
Thenatureofthesubjectof
FluidMechanicsTasksof
FluidMechanics
Studyapproachesof
FluidMechanics
Importance(position)ofthecourse
Historyof
FluidMechanicsThefollowingaspectswillbediscussed:OverviewofFluidMechanicsTTheconceptofafluid
Asolidcanresistashearstressbyastaticdeformation.Afluidcannotresistashearstressbyastaticdeformation.Anyshearstressappliedtoafluid,nomatterhowsmall,willresultinmotionofthatfluid.Thefluidmovesanddeformscontinuouslyaslongastheshearisapplied.IntroductionTheconceptofafluidAsolidIsithasafixedvolume?Canitformafreesurface?Isiteasytobecompressed?FluidgasnonoyesliquidyesyesnoFluidity?
FluidSolidyesnoTheprimaryphysicalpropertyoffluidIsithasaCanitformafreeFluidmechanicsisanimportantbranchofmodernmechanics,It’sasciencethatstudiesfluid’sbalance(Fluidstatics),mechanicalmovementlaws(FluidKinematics)
andtheinteractionbetweenfluidandtheboundaries
(FluidDynamics),whichmaybeeithersolidsurfacesorinterfaceswithotherfluids.Itmainlyascertainsthedistributionofspeedandpressure,energylossandtheinteractionforceandthemomentbetweenfluidandboundary.
IntroductionStudyObjectsofFluidMechanics(1)FluidmechanicsisanimportaWaterandairareresearchedmostlyinfluidmechanics.Besidesthese,fluidalsoincludesvaporasworkmediuminturbine,lubeoil,waterwhichmixingwithmudandsand,blood,meltingmetalandthegaswithcomplicatedcomponentscomingfromburning,plasmasunderhightemperaturecondition,etc.StudyObjectsofFluidMechanics(2)Stationaryboundaries:riverbed,pipewall,building,etc;
Movingboundaries:aircraft,ship,runner,etc.TypesofboundaryWaterandairareresearchedMechanicsResearchobject
Thecarrierofmechanicalproblems
FluidMechanicsFluidLiquidWaterMechanicsThreeconservationlawsHydraulicsIntroductionLiquidisthemainresearchobject;Mainlyfocusonengineeringapplications;SuitableforstudentsinHydraulicEng.,
CivilEng.ThenatureofthesubjectofFluidMechanicsConservationofmass,momentumandenergyMechanicsResearchobjectTheFluidmechanicsisnotonlyanage-oldsubject,butalsoanewfashionsubjectwhichcanberesearchedonquitewidelyfields.Therearemanyquestionsaboutfluidmechanicsinthesedepartments,suchasinaviation,spaceflight,navigation,
astronomicalweather,physicalgeography,waterconservancyandhydropower,heatenergyrefrigeration,buildingconstructionandenvironmentalprotection,petroleumandchemicalengineering,transportingairandliquid,
combustionandexplosion,metallurgyandmining,biologyandsea,warindustryandnuclearenergy,machinebuilding,mechanicalengineering,
etc.TasksofFluidMechanicsIntroductionEngineeringfieldsanddisciplinesrelativetoFluidMechanicsFluidmechanicsisnotonlyVortexcreatedbythepassageofanaircraftwing,revealedbycolouredsmokeTurbulenceinthetipvortexfromanairplanewingEngineeringfieldsrelativetoFluidMechanicsVortexcreatedbythepassageaviationspaceflightnavigationRocketlaunchingfountainaviationspaceflightnavigationRAxial-flowfan¢rifugalpumpfanpumpimpellerAxial-flowfan¢rifugalpMulti-stageaxial-flowcompressormodelCompressor
Multi-stageaxial-flowcompresWaterturbineandelectricalgeneratorcut-awayview
Kaplanturbine
runnerandbladehydropowerWaterturbineandelectricalgModelplanetestedinawindtunnel
CarwindtunneltestAirflowpastanaerofoilCoolingfanModelplanetestedinawindtTheThreeGorgesDamphotographedbysatelliteoftheUnitedStatesHydraulicEngineeringwaterconservancyprojectDujiangyancomprehensiveengngTheThreeGorgesDamphotograpTyphoonTornado:Arotatingcolumnofairusuallyaccompaniedbyafunnel-shapeddownwardextensionofacumulonimbuscloudandhavingavortexseveralhundredyardsindiameterwhirlingdestructivelyatspeedsofupto500miles(800km)perhour.TyphoonTyphoon:AtropicalcycloneoccurringinthewesternPacificorIndianoceans.TornadoTyphoonTornado:Arotatingcovortexformedintherearofahigh-speedtrainboilingmudnearaVolcaniccraterTornadovortexformedintherearofaHurricane“Elena”intheGulfofMexico
Weathernephogram(云圖):vorticesinatmosphereContourofthehurricane"Sandy"seenfromspaceHurricaneHurricane“Elena”intheGulfWeathernephogram:vorticesinatmosphereAirvortexstreetoverthenorthernseaofJapanWeatherCFD—supercomputerWeathernephogram:AirvortexsDewanddropDewanddropSurfacetensionsoapbubblewater-dropSurfacetensionsoapbubblewatvolleyballfootballtennisswimmingrowingdiscusthrowgolfballracecarracingjavelintabletennisbadmintonMostsportsarerelatedtoFluidMechanicsvolleyballfootballtennisswimmiGolfballwithsmooth&roughsurface,Whichisbetter?QuestionGolfballwithsmooth&rough
GolforiginatedinScotlandinthe15thCentury.Itwasthoughtintheearlydaysthatthegolfballwithsmoothsurfacehadsmallflightresistance,sotheballwasmadeinleather.Itwasfoundafterwardsthatanoldballwithmanyscratchesonitssurfacecouldflyfartherthananewballwithsmoothsurface.ThismysterywasnottobesolveduntiltheboundarylayertheorywasestablishedbyL.Prandtlinthe20thCentury.
Thepresent-daygolfhasalotofpitsonit’ssurface,andtheflightdistanceofaroughsurfaceballis5timesfartherthanasmoothballwhentheyhavethesamesizeandweight.GolforiginatedinScotlandiEarlygolfballPresent-daygolfwakezonewakezoneEarlygolfballPresent-daygoDisciplinesRelativetoFluidMechanicsAcoustics(aerodynamicnoise)AerodynamicsAeroelasticityAeronautics
ComputationalFluidDynamics—CFDFlowfieldmeasurementHemodynamicsHydraulics—thephysicalscienceandtechnologyofthestaticanddynamicbehavioroffluids)HydrologyHydrostatics
=FluidStaticsHydrodynamics
=FluidDynamicsElectrohydrodynamicsMagnetohydrodynamicsRheologyQuantumhydrodynamicsDisciplinesRelativetoFluidFluidmechanicshasthreestudyapproaches.
Thefirstoneisatheoreticalapproach.Whichanalyzestheprimaryandlesserfactorofthequestion,abstractstheoreticalmodel(suchascontinuousmedium,idealfluid,incompressiblefluid,etc),usesmathematicaltoolstofindthegeneralansweraboutthefluidmovement.StudyApproachesofFluidMechanics(1)Introductionbasichypotheses
mathematicalmodelanalyticalsolutiongeneralanswermathematicaltools:
calculus,fieldtheoryexactsolutiontheoreticalanalysisFluidmechanicshasthreestudStudyApproachesofFluidMechanics(2)Thesecondisanexperimentalapproach.Whichsummarizesthefluidquestionbyexperimentasasimilarexperimentmodel,observesthephenomenaanddeterminesthedataandconjecturestheexperimentresultsaccordingtoacertainmethod.experimentalstudymodelexperimentsobservation&measurementconverttoprototypesimilaritytheoryexperimentaldatasimilarmodelStudyApproachesofFluidMechMarvellousphenomenaofflowFluidflowpastacylinder
—Cat'seyephenomenon——RenumberFluidflowpastasphericalbody——boundarylayerseparationwakezoneincomingflowMarvellousphenomenaofflowFlStudyApproachesofFluidMechanics(3)Thethirdisacalculatingapproach.Whichdrawsouttheexperimentschemeaccordingtothetheoryanalysisandexperimentobservation,inputsthedatabyprogramandcalculatesthenumericalsolutionwithcomputer.numericalcalculationmathematicalmodelnumericalmodelnumericalsolutiondiscretizedequationsgoverningequationsapproximatesolutionBoundaryconditions&initialconditionscomputerStudyApproachesofFluidMechKarmanvortexstreetduetoairflowspastacylinderCFDVortexsheddingbehindacircularcylinder.Inthisanimation,theflowonthetwosidesofthecylinderareshownindifferentcolors,whichshowsthatthevorticesareformedfromthetwosidesalternately.KarmanvortexstreetduetoaiSimulationofKarmanvortexCFDFluidflowspasta2DbodySimulationofKarmanvortexCFDVelocity&pressuredistributionsintheflowpassageofacentrifugalfanCentrifugalfanCFDVelocity&pressuredistributiNumericalsimulationwithCFDPumpCFDmodelpressurevelocityNumericalsimulationwithCFDPAir-solidcouplingfluidstructureinteraction,FSICFDDisplacementTotaldeformationStressEquivalentstressAir-solidcouplingfluidstruct
Thethreeapproacheshaveadvantagesanddisadvantages.Onlysupplementeachothercantheyadvancethedevelopmentoffluidmechanics.Modernfluidmechanicshasbandthethreeapproachestogetherorganicallyandpromotethedevelopmentoffluidmechanicsquickly.StudyApproachesofFluidMechanics(4)ThethreeapproacheshaveAdvantages
Disadvantages
TheoreticalanalysisExact(analytical)solutioncanbeobtained.Flowmechanismcanbe
revealed.Limitedtobasicassumptions.Analyticalsolutionscanbeobtainedonlyinafewcases.Experimentalstudy
ModelexperimentFlowparameterscanbemeasureddirectly.Empiricalrelationscanbefound.Highcost.Highmeasurementtechniqueisrequired.Uneasytochangetheconditions.Affectedbyscaleeffects.NumericalcalculationCanexpandtherangeoftheoreticalsolution.Lowcost.Easytochangeconditions.It’snotaffectedbyscaleeffects.Limitedtotheoreticalmodelandnumericalmodel.Computationalerrorisexist.AdvantagesDisadvantagesHighEXITImportance(position)ofthecourseMathematics,Mechanics
FundamentalcoursesFluidMechanics
Basicspecialtycourse
SubjectofMechanicalEngng
RelativeprofessionalcoursesIntroductionbridgeEXITImportance(position)oftThefirstcontributiontothecomeintobeingofthesubjectoffluidmechanicswasdidbyArchimedesofancientGreece.Hefoundedtheliquidbalancetheoryincludethephysicalprincipleofbuoyancyandbuoyancystability.Heestablishedthebasisofthehydrostatics.Theformationanddevelopmentoffluidmechanicsisfellintofivephases.HistoryofFluidMechanics(1)Introduction
Questionsofprojectile’smovementinfluidwasputforward.Thefirstperiod:beforethe20thcenturyBC.
ThefirstcontributiontotheIntroduction
Archimedes——fixquantitytheoryofbuoyancy;
Maliaut——thebalancetomeasuretheresistanceofmovingobject;
Pascal——thebasicrelationformulaofhydrostatics.HistoryofFluidMechanics(2)Thesecondperiod:fromthe20thB.Ctolatestageofthe17thcenturyA.D.IntroductionArchimedes——fixIntroduction
Newton——Newton’slawofviscosity;
Bernoulli——Bernoulli’slawofsteadyincompressiblefluid;Euler——describingamethodoffluidmotionandequationsofinviscidfluidmotion;
Lagrange——streamfunction;
Reynolds——ReynoldsexperimentandReynoldsequation;
Navier-Stokes——differentialequationsofviscousfluidmotion.Thethirdperiod
:fromlatestageofthe17thcenturyA.Dtotheearlydaysofthe
20thcenturyA.D.HistoryofFluidMechanics(3)IntroductionNewton——Newton’Thefourthperiod:fromearlydaysofthe20thcenturyA.Dtothemiddleperiod.Thefluidmechanicshasbeguntoresearchthequestionsinweather,ocean,petroleum,chemicalengineering,energysources,environmentalprotectionandconstructionfieldsetc,andinfiltratedwithrelativecontiguoussubjectseachotherandformedmanynewbranches.IntroductionPrandtl——boundarylayertheory.Thefifthperiod:aftermiddleperiodofthe20thcenturyA.D.HistoryofFluidMechanics(4)Thefourthperiod:fromearlyTheendThankyou!TheendFluidMechanics
FluidMechanicsPrefaceContentsTeachingContents——
InClassroomExperimentalProjects——
InTeachingLabTotalhours:54Classroomteachinghours:48Practicehours:6PrefaceContentsTeachingConteTeachingContents
(1)PartA
(Totalhours:36)A1Introduction(4hours)A2Fluidstatics(6hours)A3Fluidkinematics(6hours)A4Fluiddynamics(6hours)A5Laminarflow,turbulentflowandenergyloss(8hours)A6Pipeflowandcalculationofpipeline(4hours)A7Similaritytheoryanddimensionalanalysis(2hours)FundamentalTeachingContents(1)PartA(TPartB
(Totalhours:8)B1Streamfunctionsandpotentialfunctions,frictionlessirrotationalflow(4hours)B2Boundarylayertheoryandflowpastbody(4hours)PartC
(Totalhours:4)C1ResaerchprogressinFluidMechancis(1hour)C2Modernflowmeasurementtechnologies(1hour)C3IntroductiontonumericalsimulationofturbulenceflowandcommercialsoftwaresofCFD(2hours)TeachingContents
(2)ExtendedcontentsFundamentalPartB(Totalhours:8)B1StrPartAandPartBarethefoundationofFluidMechanics,PartCistheextendedcontentsandrefertosomepracticalproblems.Thiscoursealsopaysmuchattentiontotheprevalenceofmodernfluidmechanics,forexample,theintroductiontothetheoryofturbulenceboundarylayerandthesketchofcomputationalfluiddynamics(CFD)willhelpyourfurtherapplicationsafteryourgraduation.TeachingContents
(3)PartAandPartBarethefounExperimentalProjects(1)In-class(Required)(Totalhours:6)E1Hydrostatics(1hour)E2VelocitymeasurementwithPitottube(1hour)E3FlowmeasurementwithVenturitube(1hour)E4VerificationofBernoulliequation(1hour)E5Reynoldsexperiment(1hour)E6Measurementoffrictionlosscoefficientforcircularpipeflow(1hour)ExperimentalProjects(1)In-clExperimentalProjects(2)After-class(Totalhours:6-8)E1Liquidviscositymeasurement(1hour)(Optional)E2Demonstratingexperimentaboutflowpatternandstreamline(1hour)(Required)E3Measurementoflocallosscoefficientforcircularpipeflow(1hour)(Required)E4DemonstratingexperimentaboutSiphonprinciple(1hour)(Required)E5Demonstratingexperimentaboutflowaroundairfoilandcylinder(1hour)(Required)E6Demonstratingexperimentaboutvortexformation(1hour)(Required)E7Self-designingexperiments(1hour)(Optional)ExperimentalProjects(2)AfteTextbook
FrankM.White.FluidMechanics.McGrawHillHigherEducation,7thRevisededition,2010.2TextbookFrankM.White.FluidReferencesE.JohnFinnemore,JosephB.Franzini.FluidMechanicswithEngineeringApplications.McGraw-HillHigherEducation,10thRevisededition,2001.10ReferencesE.JohnFinnemore,JReferencesJinXiaohong,LiYuanhui.FluidMechanics(bilingualTeaching).Beijing:ChinaPowerPress,2011.9ReferencesJinXiaohong,LiYu5%attendance10%homework10%requiredexperiments5%optionalexperiments70%finalexamGrades5%attendanceGradesChapter1Introduction
Whenyouthinkaboutit,almosteverythingonthisplaneteitherisafluid
ormoveswithinornearafluid.
——FrankM.WhitePreliminaryRemarksFluidcanbefoundalmosteverywhereontheearth!Chapter1IntroductionOverviewofFluidMechanics
Theconceptof
fluid
Theprimaryphysicalpropertyoffluid
Studyobjectsof
FluidMechanics
Thenatureofthesubjectof
FluidMechanicsTasksof
FluidMechanics
Studyapproachesof
FluidMechanics
Importance(position)ofthecourse
Historyof
FluidMechanicsThefollowingaspectswillbediscussed:OverviewofFluidMechanicsTTheconceptofafluid
Asolidcanresistashearstressbyastaticdeformation.Afluidcannotresistashearstressbyastaticdeformation.Anyshearstressappliedtoafluid,nomatterhowsmall,willresultinmotionofthatfluid.Thefluidmovesanddeformscontinuouslyaslongastheshearisapplied.IntroductionTheconceptofafluidAsolidIsithasafixedvolume?Canitformafreesurface?Isiteasytobecompressed?FluidgasnonoyesliquidyesyesnoFluidity?
FluidSolidyesnoTheprimaryphysicalpropertyoffluidIsithasaCanitformafreeFluidmechanicsisanimportantbranchofmodernmechanics,It’sasciencethatstudiesfluid’sbalance(Fluidstatics),mechanicalmovementlaws(FluidKinematics)
andtheinteractionbetweenfluidandtheboundaries
(FluidDynamics),whichmaybeeithersolidsurfacesorinterfaceswithotherfluids.Itmainlyascertainsthedistributionofspeedandpressure,energylossandtheinteractionforceandthemomentbetweenfluidandboundary.
IntroductionStudyObjectsofFluidMechanics(1)FluidmechanicsisanimportaWaterandairareresearchedmostlyinfluidmechanics.Besidesthese,fluidalsoincludesvaporasworkmediuminturbine,lubeoil,waterwhichmixingwithmudandsand,blood,meltingmetalandthegaswithcomplicatedcomponentscomingfromburning,plasmasunderhightemperaturecondition,etc.StudyObjectsofFluidMechanics(2)Stationaryboundaries:riverbed,pipewall,building,etc;
Movingboundaries:aircraft,ship,runner,etc.TypesofboundaryWaterandairareresearchedMechanicsResearchobject
Thecarrierofmechanicalproblems
FluidMechanicsFluidLiquidWaterMechanicsThreeconservationlawsHydraulicsIntroductionLiquidisthemainresearchobject;Mainlyfocusonengineeringapplications;SuitableforstudentsinHydraulicEng.,
CivilEng.ThenatureofthesubjectofFluidMechanicsConservationofmass,momentumandenergyMechanicsResearchobjectTheFluidmechanicsisnotonlyanage-oldsubject,butalsoanewfashionsubjectwhichcanberesearchedonquitewidelyfields.Therearemanyquestionsaboutfluidmechanicsinthesedepartments,suchasinaviation,spaceflight,navigation,
astronomicalweather,physicalgeography,waterconservancyandhydropower,heatenergyrefrigeration,buildingconstructionandenvironmentalprotection,petroleumandchemicalengineering,transportingairandliquid,
combustionandexplosion,metallurgyandmining,biologyandsea,warindustryandnuclearenergy,machinebuilding,mechanicalengineering,
etc.TasksofFluidMechanicsIntroductionEngineeringfieldsanddisciplinesrelativetoFluidMechanicsFluidmechanicsisnotonlyVortexcreatedbythepassageofanaircraftwing,revealedbycolouredsmokeTurbulenceinthetipvortexfromanairplanewingEngineeringfieldsrelativetoFluidMechanicsVortexcreatedbythepassageaviationspaceflightnavigationRocketlaunchingfountainaviationspaceflightnavigationRAxial-flowfan¢rifugalpumpfanpumpimpellerAxial-flowfan¢rifugalpMulti-stageaxial-flowcompressormodelCompressor
Multi-stageaxial-flowcompresWaterturbineandelectricalgeneratorcut-awayview
Kaplanturbine
runnerandbladehydropowerWaterturbineandelectricalgModelplanetestedinawindtunnel
CarwindtunneltestAirflowpastanaerofoilCoolingfanModelplanetestedinawindtTheThreeGorgesDamphotographedbysatelliteoftheUnitedStatesHydraulicEngineeringwaterconservancyprojectDujiangyancomprehensiveengngTheThreeGorgesDamphotograpTyphoonTornado:Arotatingcolumnofairusuallyaccompaniedbyafunnel-shapeddownwardextensionofacumulonimbuscloudandhavingavortexseveralhundredyardsindiameterwhirlingdestructivelyatspeedsofupto500miles(800km)perhour.TyphoonTyphoon:AtropicalcycloneoccurringinthewesternPacificorIndianoceans.TornadoTyphoonTornado:Arotatingcovortexformedintherearofahigh-speedtrainboilingmudnearaVolcaniccraterTornadovortexformedintherearofaHurricane“Elena”intheGulfofMexico
Weathernephogram(云圖):vorticesinatmosphereContourofthehurricane"Sandy"seenfromspaceHurricaneHurricane“Elena”intheGulfWeathernephogram:vorticesinatmosphereAirvortexstreetoverthenorthernseaofJapanWeatherCFD—supercomputerWeathernephogram:AirvortexsDewanddropDewanddropSurfacetensionsoapbubblewater-dropSurfacetensionsoapbubblewatvolleyballfootballtennisswimmingrowingdiscusthrowgolfballracecarracingjavelintabletennisbadmintonMostsportsarerelatedtoFluidMechanicsvolleyballfootballtennisswimmiGolfballwithsmooth&roughsurface,Whichisbetter?QuestionGolfballwithsmooth&rough
GolforiginatedinScotlandinthe15thCentury.Itwasthoughtintheearlydaysthatthegolfballwithsmoothsurfacehadsmallflightresistance,sotheballwasmadeinleather.Itwasfoundafterwardsthatanoldballwithmanyscratchesonitssurfacecouldflyfartherthananewballwithsmoothsurface.ThismysterywasnottobesolveduntiltheboundarylayertheorywasestablishedbyL.Prandtlinthe20thCentury.
Thepresent-daygolfhasalotofpitsonit’ssurface,andtheflightdistanceofaroughsurfaceballis5timesfartherthanasmoothballwhentheyhavethesamesizeandweight.GolforiginatedinScotlandiEarlygolfballPresent-daygolfwakezonewakezoneEarlygolfballPresent-daygoDisciplinesRelativetoFluidMechanicsAcoustics(aerodynamicnoise)AerodynamicsAeroelasticityAeronautics
ComputationalFluidDynamics—CFDFlowfieldmeasurementHemodynamicsHydraulics—thephysicalscienceandtechnologyofthestaticanddynamicbehavioroffluids)HydrologyHydrostatics
=FluidStaticsHydrodynamics
=FluidDynamicsElectrohydrodynamicsMagnetohydrodynamicsRheologyQuantumhydrodynamicsDisciplinesRelativetoFluidFluidmechanicshasthreestudyapproaches.
Thefirstoneisatheoreticalapproach.Whichanalyzestheprimaryandlesserfactorofthequestion,abstractstheoreticalmodel(suchascontinuousmedium,idealfluid,incompressiblefluid,etc),usesmathematicaltoolstofindthegeneralansweraboutthefluidmovement.StudyApproachesofFluidMechanics(1)Introductionbasichypotheses
mathematicalmodelanal
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