Function 1-1-CV-INVOLVED

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

Slots on this function:

Documentation: the control volume

Instance-Of: Function

Arity: 2

Range: 1-1-control-volume

Other Related Axioms:

(Inherited-Facet-Value Slot-Documentation
                       1-1-Control-Volume-Op-Mode
                       1-1-Cv-Involved
                       The Control Volume)

(Inherited-Facet-Value Slot-Value-Type
                       1-1-Control-Volume-Op-Mode
                       1-1-Cv-Involved
                       1-1-Control-Volume)

(Inherited-Facet-Value Slot-Cardinality
                       1-1-Control-Volume-Op-Mode
                       1-1-Cv-Involved
                       1)

(Forall (?1-1-Cv-Involved)
        (<=> (1-1-Control-Volume ?1-1-Cv-Involved)
             (Exists (?Self)
                     (And (1-1-Control-Volume-Op-Mode ?Self)
                          (= (1-1-Cv-Involved ?Self)
                             ?1-1-Cv-Involved)))))

(Slot-Documentation 1-1-Control-Volume-Op-Mode
                    1-1-Cv-Involved
                    The Control Volume)

(Has-Participant-Function 1-1-Control-Volume-Op-Mode 1-1-Cv-Involved)

(=> (1-1-Control-Volume-Op-Mode ?Self)
    (And (Value-Cardinality ?Self 1-1-Cv-Involved 1)
         (Value-Type ?Self 1-1-Cv-Involved 1-1-Control-Volume)
         (Value-Cardinality ?Self 1-1-Cv-Involved 1)))

(=> (1-1-Cv-Involved $X $Y) (1-1-Control-Volume $Y))

(Forall (?Self ?Adiabatic-Pr-Involved)
        (<=> (And (= (Adiabatic-Pr-Involved ?Self)
                     ?Adiabatic-Pr-Involved)
                  (Internally-Reversible-Adiabatic-Process ?Self))
             (And (1-1-Control-Volume-Op-Mode ?Self)
                  (Steady-Flow-Adiabatic-Process ?Adiabatic-Pr-Involved)
                  (Process-Cv ?Adiabatic-Pr-Involved 1-1-Cv-Involved)
                  (Internally-Reversible-P ?Adiabatic-Pr-Involved
                                           True))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Internally-Reversible-Adiabatic-Process ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At 
                       (Specific-Entropy 
                           (Outlet-Stream (1-1-Cv-Involved ?Self)))
                       ?T)))
           (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At 
                       (Specific-Entropy 
                           (Inlet-Stream (1-1-Cv-Involved ?Self)))
                       ?T))))))

(Forall (?Self)
        (<=> (Pump-Power-Input-Per-Mass-Approximation ?Self)
             (And (Pump-Operating-Mode ?Self)
                  (1-1-Control-Volume-Op-Mode ?Self)
                  (Thermal-Process-Op-Mode ?Self)
                  (Component-Cv Pump-Involved 1-1-Cv-Involved)
                  (Process-Cv Process-Involved 1-1-Cv-Involved))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Pump-Power-Input-Per-Mass-Approximation ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At 
                       (Power-Input-Per-Mass (Process-Involved ?Self))
                       ?T)))
           (* (Lambda 
                  (?T)
                  (If (= ?T ?Time)
                      (Value-At 
                          (Specific-Volume 
                              (Inlet-Stream (1-1-Cv-Involved ?Self)))
                          ?T)))
              (/ (- (Lambda 
                        (?T)
                        (If (= ?T ?Time)
                            (Value-At 
                                (Stream-Pressure 
                                    (Outlet-Stream 
                                        (1-1-Cv-Involved ?Self)))
                                ?T)))
                    (Lambda 
                        (?T)
                        (If (= ?T ?Time)
                            (Value-At 
                                (Stream-Pressure 
                                    (Inlet-Stream 
                                        (1-1-Cv-Involved ?Self)))
                                ?T))))
                 1000)))))