Function EXPANSION-ISENTROPIC-EFFICIENCY

• Defined in theory: Thermal-system
• Source code: thermal-system.ol

Slots on this function:

Documentation:

the isentropic efficiency of the expansion process

Instance-Of: Function, Quantity-function

Arity: 2

Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value 
    Slot-Documentation
    Steady-Flow-Adiabatic-Expansion
    Expansion-Isentropic-Efficiency
    The Isentropic Efficiency Of The Expansion Process)

(Quantity.Dimension (Expansion-Isentropic-Efficiency ?Self)
                    Dimensionless)

(Inherited-Facet-Value Slot-Cardinality
                       Steady-Flow-Adiabatic-Expansion
                       Expansion-Isentropic-Efficiency
                       1)

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Steady-Flow-Adiabatic-Expansion ?Self)
        (And (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda (?T)
                                (If (= ?T ?Time)
                                    (Value-At 
                                        (Quality (Outlet-Stream ?Cv))
                                        ?T)))
                        (/ (- (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Entropy 
                                              (Outlet-Stream ?Cv))
                                          ?T)))
                              (Compute-Saturated-Vapor-Entropy 
                                  (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Stream-Pressure 
                                                  (Outlet-Stream ?Cv))
                                              ?T)))
                                  0))
                           (- (Compute-Saturated-Vapor-Entropy 
                                  (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Stream-Pressure 
                                                  (Outlet-Stream ?Cv))
                                              ?T)))
                                  1)
                              (Compute-Saturated-Vapor-Entropy 
                                  (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Stream-Pressure 
                                                  (Outlet-Stream ?Cv))
                                              ?T)))
                                  0))))))
             (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At (Isentropic-Efficiency ?Self)
                                          ?T)))
                        (/ (- (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Inlet-Stream ?Cv))
                                          ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Outlet-Stream ?Cv))
                                          ?T))))
                           (- (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Inlet-Stream ?Cv))
                                          ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Ideal-Isentropic-Enthalpy ?Self)
                                          ?T))))))))
             (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At 
                                    (Expansion-Isentropic-Efficiency ?Self)
                                    ?T)))
                        (/ (- (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Inlet-Stream ?Cv))
                                          ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Outlet-Stream ?Cv))
                                          ?T))))
                           (- (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Specific-Enthalpy 
                                              (Inlet-Stream ?Cv))
                                          ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Ideal-Isentropic-Enthalpy ?Self)
                                          ?T)))))))))))

(Has-Quantity-Function Steady-Flow-Adiabatic-Expansion
                       Expansion-Isentropic-Efficiency)

(Slot-Documentation Steady-Flow-Adiabatic-Expansion
                    Expansion-Isentropic-Efficiency
                    The Isentropic Efficiency Of The Expansion Process)

(=> (Steady-Flow-Adiabatic-Expansion ?Self)
    (And (Value-Cardinality ?Self Expansion-Isentropic-Efficiency 1)
         (Quantity.Dimension (Expansion-Isentropic-Efficiency ?Self)
                             Dimensionless)))

(=> (Expansion-Isentropic-Efficiency $X $Y)
    (Everywhere-Continuous-Quantity $Y))