Hydraulic System Analysis英文版原版

  • 格式:pdf
  • 大小:764.18 KB
  • 文档页数:23

2PROPERTIESOFFLUIDSANDTHEIRUNITS

2.1BASICPROPERTIESOFFLUIDSAfluidisdefinedasasubstancethatcannotsustainashearingstress.Afluidcanbeliquidorgaseous.Thescienceoffluidpowerisconcernedwiththeutilizationofpressurizedliquidorgastotransmitpower,butwewillbedealingexclusivelywithhydraulicfluids(i.e.,liquids).ManytextbookshaveunitsofmeasurementintheU.S.CustomarysystembasedupontheformerBritish(orImperial)system.TheuseofthemorerecentlydefinedS.I.systemisbecomingmorecommoninU.S.industryandforthisreasonpracticingengineerswillhavetobefamiliarwithbothU.S.basicandS.I.Inmanyfluidpowerapplicationstheinchisusedasthebasicunitoflength.LaterinthissectiontheuseofproblemsthatmayoccurwiththeuseofmassintheU.S.Customaryformofunitswillbediscussed.Knowledgeoftheindividualcharacteristicsofhydraulicfluidsisessentialandthissectiondealswiththeirfundamentalproperties.Oildensity:Thisisdefinedasmassperunitvolume.Forpetroleumbasedhydraulicfluidstheapproximatevalueisρ=850kg/m3.Itshouldbeobservedthatadynamicanalysisthatuseslbf/in.2asapressureunitmustbeconsistentandusemassinlbf·s2/in.Accelerationswillbeinin./s2.Unfortunatelythereisnospecialnameforamassunitinthepoundforce,inch,secondsystem.Amassunitinthepoundforce,foot,secondsystem7© 2006 by Taylor & Francis Group, LLCsystemsofunits(seeTable2.1).

theseunitswillbedemonstrated(seeTable2.2)andsomeofthespecial8PROPERTIESOFFLUIDS󰀧󰀬󰀶󰀷󰀤󰀱󰀦󰀨󰀥󰀨󰀷󰀺󰀨󰀨󰀱󰀶󰀫󰀨󰀤󰀵󰀬󰀱󰀪󰀳󰀯󰀤󰀱󰀨󰀶

󰀩󰀲󰀵󰀦󰀨󰀶󰀫󰀨󰀤󰀵󰀬󰀱󰀪󰀩󰀲󰀵󰀦󰀨

󰀩󰁙

󰀤

󰀥󰀼󰀃󰀶󰀫󰀨󰀤󰀵󰀬󰀱󰀪󰀤󰀵󰀨󰀤󰀃󰀤󰀦󰀷󰀨󰀧󰀃󰀲󰀱

󰀥󰀯󰀲󰀦󰀮󰀃󰀲󰀩󰀯󰀬󰀴󰀸󰀬󰀧

󰁙󰀩󰁙

󰀧󰀬󰀩󰀩󰀨󰀵󰀨󰀱󰀷󰀬󰀤󰀯󰀶󰀫󰀨󰀤󰀵󰀬󰀱󰀪󰀹󰀨󰀯󰀲󰀦󰀬󰀷󰀼

Figure2.1:Definitionofabsoluteviscosity.

istheslugwhere1slug=1lbf·s2/ft.Someauthorsuseweightperunitvolume,thenthetermSpecificWeightshouldbeused.

Specificgravity:Thisistheratioofthemassofasubstancedividedby

themassofanequalvolumeofwateratsomespecifiedtemperature,usually20◦C.Theunitisthereforedimensionlessandvariesbetween0.8forsomepetroleumbasedfluidstoashighas1.5forthechlorinatedhydrocarbons.

Absoluteviscosity:Thisisameasureoftheresistancetomotion

offeredbyafluidcausedbythegenerationofshearstressoverawettedarea(Figure2.1).Theresistanceisthereforeproportionaltothewettedareaandtothevelocityandinverselyproportionaltothefilmthickness.

FvA=µv󰀬

or:µ=FvA(v/󰀬)=τ˙γ(2.1)

Forapistonconcentricallylocatedinacircularcylinderwithoilintheclearancespace,󰀬1,theareaAisgivenbyA=πd󰀬2andtheforceFvisgivenby:

Fv=πd󰀬2µv󰀬1(2.2)

© 2006 by Taylor & Francis Group, LLCChapter29Table2.1:ConversionbetweenU.S.CustomaryandSIunits

BasicUSCustomaryUnitS.I.totoS.I.BasicU.S.Customary1in.=25.40mmLength1m=39.37in.1ft=0.3048m1m=3.281ft1lbf=4.448NForce1N=0.2248lbf

1slug=14.594kgMass1kg=0.0685slug

1lbf·s2/in.=175.128kg1kg=0.00571lbf·s2/in.1slug/ft3=Density1kg/m3=515.4kg/m31.94E−3slug/ft31lbf·s2/in4.=1kg/m3=10.69E+6kg/m393.57E−9lbf·s2/in4.1K=5(◦F−32)/9Temperature◦F=32+1.8(K−273.2)◦R=◦F+460K=◦C+273.2

1lbf·s/in.2=1reynAbsolute1MPa·s=145lbf·s/in.2(=68.97E+4Poise)Viscosity(=10E+7Poise)1psi=6.985kPaPressure1MPa=145.0lbf/in.21ksi=6.985Mpa(orStress)1MN/m2=145.0psi1lbfft=1.356N·mTorque1N·m=0.7376lbf·ft1ft·lbf=1.356JWorkor1J=0.7376ft·lbf

1Btu=1054JEnergy1J=0.968E−3Btu

1hp=745.7WPower1kW=1.341hp

Thequantityµistermedthecoefficientofabsoluteviscosity.Conver-sionbetweenvarioussetsofunitscanbeconfusing.NotingthatabsoluteviscosityhasthefundamentaldimensionsF.T/L2,whichisequivalenttoM/L.T,willallowconversionstobemadeonarationalbasis.Oftenwemeasureabsoluteviscosityinlbf·s/in.2units(calledthereyn).Sometimesunitsusingcentimeter,gramandsecondareused(thecgssystem),thentheunitiscalledthePoiseforviscosity.Thus1centipoise=1cP=1.0E−2Poise=1mPa·s=1.45E−7reyn.

Therelationshipbetweenabsoluteviscosityandtemperatureisverynonlinear.© 2006 by Taylor & Francis Group, LLCThisisshowninFigure2.2wheretheabscissavaluesareab-10PROPERTIESOFFLUIDSsolutetemperaturevaluesdividedbyaroomtemperatureof68◦F(20◦C)alsoconvertedtoabsolute.Theordinatevaluesaretheabsoluteviscos-itynormalizedwithrespecttotheabsoluteviscosityatroomtemperature.ProbablythemostimportantfeatureofFigure2.2isthatitshowsthatfluidpoweractuatorsandcontrolsonoffroadequipmentinitiallyoperat-ingatverylowtemperatureswilloperateerraticallyorveryslowlyuntiltheoiltemperaturehasrisentoahighervalue.Thegraphalsoshowsthatcalculationsthatassumeturbulentflowandviscosityindependencearelikelytobequiteaccurateatnormaloperatingtemperaturesbetween68and95◦F(20and35◦C).Oilrefinersusethetermviscosityindextodescribethedegreeofthechangeinviscositywithtemperature.Theviscosityindexisdiscussedinmoredepthin[1].