Class STEADY-FLOW-ADIABATIC-EXPANSION

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

Slots on this class:

Documentation:

the class of steady flow expansion processes taking place without interacting thermally with the external world

Instance-Of: Class

Subclass-Of: Model-fragment, Steady-flow-adiabatic-process, Steady-flow-expansion

Arity: 1

Expansion-Isentropic-Efficiency:

Slot-Documentation:

the isentropic efficiency of the expansion process

Has-Quantity-Function: Expansion-isentropic-efficiency

---

Slots on instances of this class:

Expansion-Isentropic-Efficiency:

Slot-Cardinality: 1

Slot-Documentation:

the isentropic efficiency of the expansion process

Axioms:

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

(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)))))))))))

(Forall (?Self ?Time)
        (<=> (Active ?Time Steady-Flow-Adiabatic-Expansion ?Self)
             (And (Steady-Flow-Adiabatic-Expansion ?Self)
                  (Active ?Time Steady-Flow-Expansion ?Self)
                  (Active ?Time Steady-Flow-Adiabatic-Process ?Self))))

Other Related Axioms:

(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)))))))))))

(Forall (?Self ?Time)
        (<=> (Active ?Time Steady-Flow-Adiabatic-Expansion ?Self)
             (And (Steady-Flow-Adiabatic-Expansion ?Self)
                  (Active ?Time Steady-Flow-Expansion ?Self)
                  (Active ?Time Steady-Flow-Adiabatic-Process ?Self))))

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

(Inherited-Facet-Value Slot-Value-Type
                       Turbine-System
                       Expsn-Prcs
                       Steady-Flow-Adiabatic-Expansion)

(=> (Turbine-System ?Self)
    (And (Value-Cardinality ?Self Tbn 1)
         (Value-Type ?Self Tbn Simple-Turbine)
         (Value-Cardinality ?Self Tbn 1)
         (Value-Cardinality ?Self Tbn-Cv 1)
         (Value-Type ?Self Tbn-Cv 1-1-Control-Volume)
         (Value-Cardinality ?Self Tbn-Cv 1)
         (Value-Cardinality ?Self Expsn-Prcs 1)
         (Value-Type ?Self
                     Expsn-Prcs
                     Steady-Flow-Adiabatic-Expansion)
         (Value-Cardinality ?Self Expsn-Prcs 1)
         (Value-Cardinality ?Self Water-In-Tbn 1)
         (Value-Type ?Self Water-In-Tbn Water)
         (Value-Cardinality ?Self Water-In-Tbn 1)
         (Cv-Component (Tbn-Cv ?Self) (Tbn ?Self))
         (Component-Cv (Tbn ?Self) (Tbn-Cv ?Self))
         (Process-Cv (Expsn-Prcs ?Self) (Tbn-Cv ?Self))
         (Substance-In (Tbn-Cv ?Self) (Water-In-Tbn ?Self))
         (Substance-In (Inlet-Stream (Tbn-Cv ?Self))
                       (Water-In-Tbn ?Self))
         (Substance-In (Outlet-Stream (Tbn-Cv ?Self))
                       (Water-In-Tbn ?Self))))