Function SPECIFIC-VOLUME


Slots on this function:

Documentation:
the volume per unit mass of the fluid
Instance-Of: Function, Quantity-function
Arity: 2
Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value Slot-Documentation
                       Stream
                       Specific-Volume
                       The Volume Per Unit Mass Of The Fluid)

(Quantity.Dimension (Specific-Volume ?Self)
                    Specific-Volume-Dimension)

(Inherited-Facet-Value Slot-Cardinality Stream Specific-Volume 1)

(Has-Quantity-Function Stream Specific-Volume)

(Slot-Documentation Stream
                    Specific-Volume
                    The Volume Per Unit Mass Of The Fluid)

(=> (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)))

(=> (Specific-Volume $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
                Control-Volume-Inlet-Stream-Ideal-Gas-Law
                ?Self)
        (Forall 
            (?X)
            (=> (Inlets (Cv-Involved ?Self) ?X)
                (= (* (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Stream-Pressure ?X) ?T)))
                      (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Specific-Volume ?X) ?T))))
                   (* (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Ideal-Gas-Constant 
                                      (Substance-In (Cv-Involved ?Self)))
                                  ?T)))
                      (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Stream-Temperature ?X)
                                            ?T)))))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time
                Control-Volume-Outlet-Stream-Ideal-Gas-Law
                ?Self)
        (Forall 
            (?X)
            (=> (Outlets (Cv-Involved ?Self) ?X)
                (= (* (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Stream-Pressure ?X) ?T)))
                      (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Specific-Volume ?X) ?T))))
                   (* (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Ideal-Gas-Constant 
                                      (Substance-In (Cv-Involved ?Self)))
                                  ?T)))
                      (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Stream-Temperature ?X)
                                            ?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 2d-Stream-Mass-Flow-Rate ?Self)
        (= (* (Lambda (?T)
                      (If (= ?T ?Time)
                          (Value-At (Mass-Rate 
                                        (2d-Stream-Involved ?Self))
                                    ?T)))
              (Lambda 
                  (?T)
                  (If (= ?T ?Time)
                      (Value-At 
                          (Specific-Volume (2d-Stream-Involved ?Self))
                          ?T))))
           (* (Lambda (?T)
                      (If (= ?T ?Time)
                          (Value-At 
                              (Stream-Area (2d-Stream-Involved ?Self))
                              ?T)))
              (Lambda (?T)
                      (If (= ?T ?Time)
                          (Value-At (Velocity (2d-Stream-Involved ?Self))
                                    ?T)))))))

(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)))))