Function QUALITY


Slots on this function:

Documentation:
the ratio of the mass of vapor present to the total mass of the vapor-liquid mixture
Instance-Of: Function, Quantity-function
Arity: 2
Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value 
    Slot-Documentation
    Stream
    Quality
    The Ratio Of The Mass Of Vapor Present To The Total Mass Of The Vapor-Liquid Mixture)

(Quantity.Dimension (Quality ?Self) Dimensionless)

(Inherited-Facet-Value Slot-Cardinality Stream Quality 1)

(Has-Quantity-Function Stream Quality)

(Slot-Documentation 
    Stream
    Quality
    The Ratio Of The Mass Of Vapor Present To The Total Mass Of The Vapor-Liquid Mixture)

(=> (Stream ?Self)
    (And (Value-Cardinality ?Self Stream-Elevation 1)
         (Quantity.Dimension (Stream-Elevation ?Self)
                             Length-Dimension)
         (Value-Cardinality ?Self Enthalpy-Rate 1)
         (Quantity.Dimension (Enthalpy-Rate ?Self) Power-Dimension)
         (Value-Cardinality ?Self Entropy-Rate 1)
         (Quantity.Dimension (Entropy-Rate ?Self)
                             Entropy-Rate-Dimension)
         (Value-Cardinality ?Self Ke-Rate 1)
         (Quantity.Dimension (Ke-Rate ?Self) Power-Dimension)
         (Value-Cardinality ?Self Mass-Rate 1)
         (Quantity.Dimension (Mass-Rate ?Self) Mass-Rate-Dimension)
         (Value-Cardinality ?Self Pe-Rate 1)
         (Quantity.Dimension (Pe-Rate ?Self) Power-Dimension)
         (Value-Cardinality ?Self Stream-Pressure 1)
         (Quantity.Dimension (Stream-Pressure ?Self)
                             Pressure-Dimension)
         (Value-Cardinality ?Self Specific-Enthalpy 1)
         (Quantity.Dimension (Specific-Enthalpy ?Self)
                             Specific-Energy-Dimension)
         (Value-Cardinality ?Self Specific-Entropy 1)
         (Quantity.Dimension (Specific-Entropy ?Self)
                             Specific-Entropy-Dimension)
         (Value-Cardinality ?Self Specific-Internal-Energy 1)
         (Quantity.Dimension (Specific-Internal-Energy ?Self)
                             Specific-Energy-Dimension)
         (Value-Cardinality ?Self Stream-Temperature 1)
         (Quantity.Dimension (Stream-Temperature ?Self)
                             Temperature-Dimension)
         (Value-Cardinality ?Self Velocity 1)
         (Quantity.Dimension (Velocity ?Self) Velocity-Dimension)
         (Value-Cardinality ?Self Quality 1)
         (Quantity.Dimension (Quality ?Self) Dimensionless)
         (Value-Cardinality ?Self Specific-Volume 1)
         (Quantity.Dimension (Specific-Volume ?Self)
                             Specific-Volume-Dimension)
         (Value-Cardinality ?Self Saturated-P 1)))

(=> (Quality $X $Y) (Everywhere-Continuous-Quantity $Y))

(Forall (?Self ?Time)
        (=> (Active ?Time Stream-Junction ?Self)
            (And (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Mass-Rate ?Terminal ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Stream-Pressure ?Terminal ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Specific-Enthalpy ?Terminal
                                                         ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Specific-Entropy ?Terminal ?X))))
                 (All= ?Time
                       (Setofall 
                           ?X
                           (And (Connected-Terminals ?Self ?Terminal)
                                (Specific-Internal-Energy ?Terminal
                                                          ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Stream-Temperature ?Terminal
                                                          ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Quality ?Terminal ?X))))
                 (All= ?Time
                       (Setofall ?X
                                 (And (Connected-Terminals ?Self
                                                           ?Terminal)
                                      (Specific-Volume ?Terminal ?X)))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Non-Saturated-Water-Stream-Enthalpy ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At 
                       (Specific-Enthalpy (2d-Stream-Involved ?Self))
                       ?T)))
           (+ (Compute-Saturated-Vapor-Enthalpy 
                  (Lambda 
                      (?T)
                      (If (= ?T ?Time)
                          (Value-At 
                              (Stream-Pressure 
                                  (2d-Stream-Involved ?Self))
                              ?T)))
                  0)
              (* (Lambda (?T)
                         (If (= ?T ?Time)
                             (Value-At 
                                 (Quality (2d-Stream-Involved ?Self))
                                 ?T)))
                 (- (Compute-Saturated-Vapor-Enthalpy 
                        (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At 
                                    (Stream-Pressure 
                                        (2d-Stream-Involved ?Self))
                                    ?T)))
                        1)
                    (Compute-Saturated-Vapor-Enthalpy 
                        (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At 
                                    (Stream-Pressure 
                                        (2d-Stream-Involved ?Self))
                                    ?T)))
                        0)))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Saturated-Water-Stream-Enthalpy ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At 
                       (Specific-Enthalpy (2d-Stream-Involved ?Self))
                       ?T)))
           (Compute-Saturated-Vapor-Enthalpy 
               (Lambda 
                   (?T)
                   (If (= ?T ?Time)
                       (Value-At 
                           (Stream-Pressure (2d-Stream-Involved ?Self))
                           ?T)))
               (Lambda (?T)
                       (If (= ?T ?Time)
                           (Value-At (Quality (2d-Stream-Involved ?Self))
                                     ?T)))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Saturated-Water-Stream-Entropy ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At (Specific-Entropy 
                                 (2d-Stream-Involved ?Self))
                             ?T)))
           (Compute-Saturated-Vapor-Entropy 
               (Lambda 
                   (?T)
                   (If (= ?T ?Time)
                       (Value-At 
                           (Stream-Pressure (2d-Stream-Involved ?Self))
                           ?T)))
               (Lambda (?T)
                       (If (= ?T ?Time)
                           (Value-At (Quality (2d-Stream-Involved ?Self))
                                     ?T)))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Saturated-Water-Stream-Specific-Volume ?Self)
        (= (Lambda 
               (?T)
               (If (= ?T ?Time)
                   (Value-At (Specific-Volume (2d-Stream-Involved ?Self))
                             ?T)))
           (Compute-Saturated-Vapor-Specific-Volume 
               (Lambda 
                   (?T)
                   (If (= ?T ?Time)
                       (Value-At 
                           (Stream-Pressure (2d-Stream-Involved ?Self))
                           ?T)))
               (Lambda (?T)
                       (If (= ?T ?Time)
                           (Value-At (Quality (2d-Stream-Involved ?Self))
                                     ?T)))))))

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