Thermodynamic Process AnalysisIsotonicProcessThe Pressureof gas is unchanged during processProcessEquationp=ConstRelationship Between Initial & Final State2_TyTc,dTc,dTuz.-u=dTCpT
• Isotonic Process The Pressure of gas is unchanged during process. Process Equation Relationship Between Initial & Final State Thermodynamic Process Analysis p Const 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 1 d d d p v p v T v T h h c T u u c T T s s c T
Thermodynamic Process AnalysisIsovolumetricIsotonic ProcessLineTp2'21IsotonictoutQinLineD12SIsovolumetricProcessTdTdTds = cdsTCv定压线斜率小于IsotonicProcess定容线斜率TdTdTds =CPdsTCP
Thermodynamic Process Analysis • Isotonic Process p v 2’ 1 2 Qout Qin T s 1 2 2’ Q Qin out Isovolumetric Line Isotonic Line Isovolumetric Process d d v T s c T d d v T T s c Isotonic Process d d p T s c T d d p T T s c 定压线斜率小于 定容线斜率
ThermodynamicProcessAnalysisIsotonic ProcessEnergyTransfer pdv= p(v2 -v) = R(T, - T)W=, vdp = 0二q= △u + w= h + w, = h, - h定压过程中,气体的技术功为零;其膨胀功全部用于维持流动所必须的流动净功;工质吸收的热量等于其烩增量
Thermodynamic Process Analysis • Isotonic Process Energy Transfer 2 2 1 2 1 1 2 1 2 1 d ( ) ( ) d 0 t t w p v p v v R T T w v p q u w h w h h 定压过程中,气体的技术功为零;其膨胀功全部用于 维持流动所必须的流动净功;工质吸收的热量等于其 焓增量
ThermodynamicProcessAnalysisIsothermalProcessThe Temperatureof gas is unchanged during processProcessEquationT = ConstRelationshipBetweenInitial&FinalStatePiV = p2V2h, =huz =uiS2 - S; = Rln 2 = -R ln P2PiV1
Thermodynamic Process Analysis • Isothermal Process The Temperature of gas is unchanged during process. Process Equation Relationship Between Initial & Final State 1 1 2 2 2 1 2 1 2 2 2 1 1 1 ln ln p v p v h h u u v p s s R R v p T Const
Thermodynamic Process AnalysisIsothermalProcessp2Qout2QinQinQLout2
Thermodynamic Process Analysis • Isothermal Process p v 2’ 1 2 Qout Qin T s 1 2 2’ Qin Qout