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Engineering
ThermodynamicsChapterTwo
TheEssenceofFirstLawofThermodynamicsJilinUniversityThermalenergyengineeringdepartment2023/2/281Applicationsofdifferentenergyequationexpressions.Theuniversalpurposeofthefirstlawofthermodynamics.Definitionofsystemenergy,thermodynamicenergy,expansionwork,flowwork,shaftwork,technicalwork,andtherelationshipamongthem.Theskilltoanalyzethesystemenergybalanceforthesystem.TasksJilinUniversityThermalenergyengineeringdepartment2023/2/282KeynotesTheessenceoffirstlawofthermodynamics.Distinguishthedifferencebetweenthermodynamicenergyandsystemenergy.Energyequationsforopensystemandclosedsystem.Relationshipsamongthetechnicalwork,shaftwork,flowworkandexpansionwork.Applicationsofsteadystatesteadyflowenergyequation.JilinUniversityThermalenergyengineeringdepartment2023/2/283§2.1DefinitionoffirstlawThefirstlawofthermodynamics,knownastheconservationofenergyprinciple,providesasoundbasisforstudyingtherelationshipsamongthevariousformsofenergyandenergyinteractions.Energycanbeneithercreatednordestroyedduringaprocess;itcanonlychangeforms.Thefirstlawstatesthatenergyisconserved:Thechangeintheinternalenergyisequaltotheamountaddedbyheatingminustheamountlostbydoingworkontheenvironment.JilinUniversityThermalenergyengineeringdepartment2023/2/284§2.1DefinitionoffirstlawThefirstlawcanbestatedmathematicallyas:
dU=δQ-δWwheredU
isasmallincreaseintheinternalenergyofthesystem,δQisasmallamountofheataddedtothesystem,andδWisasmallamountofworkdonebythesystem.JilinUniversityThermalenergyengineeringdepartment2023/2/285The"OverbalancedWheel".Itwasthoughtthatthemetalballsontherightsidewouldturnthewheelbecauseofthelongerleverarm,butsincetheleftsidehadmoreballsthantherightside,thetorquewasbalancedandtheperpetualmovementcouldnotbeachieved.§2.1DefinitionoffirstlawJilinUniversityThermalenergyengineeringdepartmentAperpetualmotionmachineofthefirstkindproducesworkwithouttheinputofenergy.Itthusviolatesthefirstlawofthermodynamics.2023/2/286TotalenergyenteringthesystemTotalenergy
leaving
thesystemChangeinthetotalenergyofthesystem=-§2.1DefinitionoffirstlawJilinUniversityThermalenergyengineeringdepartment2023/2/287§2-2Closedsystemenergyequation
Specificthermodynamicenergyu/(J/kg):TotalsystemenergyE/J:
Expressionofspecificthermodynamicenergy:kineticpotential1.Thermaldynamicenergyofsystem:
Systemenergy
E:
E=Ek+Ep+UJilinUniversityThermalenergyengineeringdepartment2023/2/288Heatandwork:QandWForthermodynamicprocess1-2:Fortheinfinitesimalprocess:§2-2Closedsystemenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/289Forunitmass:Definitionofsign:plusforabsorbheat,minusforreleaseheat;Positivevalueforgasexpression,andnegativevalueforgascompression.ItappliestoQuasi-staticStateProcessandNon-quasi-staticStateProcess.§2-2Closedsystemenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/2810forQuasi-staticStateProcesswithoutdissipationso:Forunitmass:§2-2Closedsystemenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/2811§2-3Opensystemenergyequation
PhysicalmodelJilinUniversityThermalenergyengineeringdepartment2023/2/2812energychangedinsystemfordτ
:therefore:Thisequationcalledmassequationorcontinuityequation,itistherelationbetweeninputandoutputmassoftheopensystem.
Energyexchange:①heat:②shaftwork:attheinput,flowwork:§2-3Opensystemenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/2813FlowworkAttheexit,theflowworkforpushingouttheinfinitesimalmass:
③thenetflowworkoutofthesystemis:
④thedifferencebetweeninandout:JilinUniversityThermalenergyengineeringdepartment2023/2/2814energyequationofopensystem
:forand(2-6a)andFlowworkJilinUniversityThermalenergyengineeringdepartment2023/2/2815so:FlowworkJilinUniversityThermalenergyengineeringdepartment2023/2/2816§2-4Steadystatesteadyflowenergyequation
Processfeature:Substituteinto(2-6a),thenifJilinUniversityThermalenergyengineeringdepartment2023/2/2817ifsoItiscalledenthalpy,itisalsoastateparameter:theenthalpyisalsoonlydependentonforanidealgas.
§2-4Steadystatesteadyflowenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/2818forso:Thatis§2-4Steadystatesteadyflowenergyequation
JilinUniversityThermalenergyengineeringdepartment2023/2/2819§2-5Shaftworkfor:then:JilinUniversityThermalenergyengineeringdepartment2023/2/2820Technicalworkwt—themechanicalenergycanbeapplieddirectlySubstitutetheexpressionofshaftworkintotheequation:Omitthekineticandpotentialenergy,then§2-5ShaftworkJilinUniversityThermalenergyengineeringdepartment2023/2/28212-6ExamplesofSSSF1.RadiatorandCondenser2.TurbineorCompressorfeature:feature:so:so:JilinUniversityThermalenergyengineeringdepartment2023/2/28223.NozzleandDiffuser4.ThrottlingValveso:feature:feature:so:JilinUniversityThermalenergyengineeringdepartment2023/2/2823Thefirstlaw
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