Function MASS-RATE-IN


Slots on this function:

Documentation:
the mass flow rate into the control volume
Instance-Of: Function, Quantity-function
Arity: 2
Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value Slot-Documentation
                       Control-Volume
                       Mass-Rate-In
                       The Mass Flow Rate Into The Control Volume)

(Quantity.Dimension (Mass-Rate-In ?Self) Mass-Rate-Dimension)

(Inherited-Facet-Value Slot-Cardinality
                       Control-Volume
                       Mass-Rate-In
                       1)

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Control-Volume ?Self)
        (And (Forall 
                 (?X)
                 (=> (Inlets ?Self ?X)
                     (And (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Pe-Rate ?X) ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Pe-Rate-In ?Self)
                                                    ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Ke-Rate ?X) ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Ke-Rate-In ?Self)
                                                    ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Enthalpy-Rate ?X)
                                                    ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At (Enthalpy-Rate-In ?Self)
                                                ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Mass-Rate ?X)
                                                    ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Mass-Rate-In ?Self)
                                                    ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Entropy-Rate ?X)
                                                    ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At (Entropy-Rate-In ?Self)
                                                ?T)))))))
             (Forall 
                 (?X)
                 (=> (Outlets ?Self ?X)
                     (And (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Pe-Rate ?X) ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Pe-Rate-Out ?Self)
                                                    ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Ke-Rate ?X) ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Ke-Rate-Out ?Self)
                                                    ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Enthalpy-Rate ?X)
                                                    ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At 
                                          (Enthalpy-Rate-Out ?Self)
                                          ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Mass-Rate ?X)
                                                    ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Mass-Rate-Out ?Self)
                                              ?T))))
                          (C+ (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At (Entropy-Rate ?X)
                                                    ?T)))
                              (Lambda 
                                  (?T)
                                  (If (= ?T ?Time)
                                      (Value-At (Entropy-Rate-Out ?Self)
                                                ?T)))))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (D-Entropy-Rate ?Self) ?T)))
                (- (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Entropy-Rate-In ?Self) ?T)))
                   (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Entropy-Rate-Out ?Self) ?T)))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (D-Pe-Rate ?Self) ?T)))
                (- (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Pe-Rate-Out ?Self) ?T)))
                   (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Pe-Rate-In ?Self) ?T)))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (D-Ke-Rate ?Self) ?T)))
                (- (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Ke-Rate-Out ?Self) ?T)))
                   (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Ke-Rate-In ?Self) ?T))))))))

(Has-Quantity-Function Control-Volume Mass-Rate-In)

(Slot-Documentation Control-Volume
                    Mass-Rate-In
                    The Mass Flow Rate Into The Control Volume)

(=> (Control-Volume ?Self)
    (And (Value-Cardinality ?Self Enthalpy-Rate-In 1)
         (Quantity.Dimension (Enthalpy-Rate-In ?Self)
                             Power-Dimension)
         (Value-Cardinality ?Self Enthalpy-Rate-Out 1)
         (Quantity.Dimension (Enthalpy-Rate-Out ?Self)
                             Power-Dimension)
         (Value-Cardinality ?Self Entropy-Rate-In 1)
         (Quantity.Dimension (Entropy-Rate-In ?Self)
                             Entropy-Rate-Dimension)
         (Value-Cardinality ?Self Entropy-Rate-Out 1)
         (Quantity.Dimension (Entropy-Rate-Out ?Self)
                             Entropy-Rate-Dimension)
         (Value-Cardinality ?Self D-Entropy-Rate 1)
         (Quantity.Dimension (D-Entropy-Rate ?Self)
                             Entropy-Rate-Dimension)
         (Value-Cardinality ?Self Ke-Rate-In 1)
         (Quantity.Dimension (Ke-Rate-In ?Self) Power-Dimension)
         (Value-Cardinality ?Self Ke-Rate-Out 1)
         (Quantity.Dimension (Ke-Rate-Out ?Self) Power-Dimension)
         (Value-Cardinality ?Self Mass-Rate-In 1)
         (Quantity.Dimension (Mass-Rate-In ?Self)
                             Mass-Rate-Dimension)
         (Value-Cardinality ?Self Mass-Rate-Out 1)
         (Quantity.Dimension (Mass-Rate-Out ?Self)
                             Mass-Rate-Dimension)
         (Value-Cardinality ?Self Pe-Rate-In 1)
         (Quantity.Dimension (Pe-Rate-In ?Self) Power-Dimension)
         (Value-Cardinality ?Self Pe-Rate-Out 1)
         (Quantity.Dimension (Pe-Rate-Out ?Self) Power-Dimension)
         (Value-Cardinality ?Self Cv-Elevation 1)
         (Quantity.Dimension (Cv-Elevation ?Self) Length-Dimension)
         (Value-Cardinality ?Self Cv-Pe 1)
         (Quantity.Dimension (Cv-Pe ?Self) Energy-Dimension)
         (Value-Cardinality ?Self Cv-Ke 1)
         (Quantity.Dimension (Cv-Ke ?Self) Energy-Dimension)
         (Value-Cardinality ?Self Cv-Enthalpy 1)
         (Quantity.Dimension (Cv-Enthalpy ?Self) Energy-Dimension)
         (Value-Cardinality ?Self Cv-Entropy 1)
         (Quantity.Dimension (Cv-Entropy ?Self) Entropy-Dimension)
         (Value-Cardinality ?Self Cv-Internal-Energy 1)
         (Quantity.Dimension (Cv-Internal-Energy ?Self)
                             Energy-Dimension)
         (Value-Cardinality ?Self Cv-Energy 1)
         (Quantity.Dimension (Cv-Energy ?Self) Energy-Dimension)
         (Value-Cardinality ?Self Energy-Rate 1)
         (Quantity.Dimension (Energy-Rate ?Self)
                             Energy-Rate-Dimension)
         (Value-Cardinality ?Self Internal-Energy-Rate 1)
         (Quantity.Dimension (Internal-Energy-Rate ?Self)
                             Energy-Rate-Dimension)
         (Value-Cardinality ?Self Cv-Mass 1)
         (Quantity.Dimension (Cv-Mass ?Self) Mass-Dimension)
         (Value-Cardinality ?Self Cv-Volume 1)
         (Quantity.Dimension (Cv-Volume ?Self) Volume-Dimension)
         (Value-Cardinality ?Self D-Pe-Rate 1)
         (Quantity.Dimension (D-Pe-Rate ?Self) Power-Dimension)
         (Value-Cardinality ?Self D-Ke-Rate 1)
         (Quantity.Dimension (D-Ke-Rate ?Self) Power-Dimension)
         (Value-Cardinality ?Self Even-Pe 1)
         (Value-Cardinality ?Self Even-Ke 1)))

(=> (Mass-Rate-In $X $Y) (Everywhere-Continuous-Quantity $Y))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Steady-State-Steady-Flow-Process ?Self)
        (And (Forall (?Cv)
                     (=> (Process-Cv ?Self ?Cv)
                         (= (- (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Heat-Rate ?Self)
                                                     ?T)))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Work-Rate ?Self)
                                                     ?T))))
                            (+ (- (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Enthalpy-Rate-Out ?Cv)
                                              ?T)))
                                  (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Enthalpy-Rate-In ?Cv)
                                              ?T))))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (D-Pe-Rate ?Cv)
                                                     ?T)))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (D-Ke-Rate ?Cv)
                                                     ?T)))))))
             (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At 
                                    (Entropy-Generation-Rate ?Self)
                                    ?T)))
                        (+ (- (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Entropy-Rate-Out ?Cv)
                                              ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Entropy-Rate-In ?Cv)
                                              ?T))))
                           (- (/ (Lambda (?T)
                                         (If (= ?T ?Time)
                                             (Value-At (Heat-Rate ?Self)
                                                       ?T)))
                                 (Lambda 
                                     (?T)
                                     (If (= ?T ?Time)
                                         (Value-At 
                                             (Heat-Transfer-Temperature ?Self)
                                             ?T)))))))))
             (Forall (?Cv)
                     (=> (Process-Cv ?Self ?Cv)
                         (= (Lambda (?T)
                                    (If (= ?T ?Time)
                                        (Value-At (Mass-Rate-In ?Cv)
                                                  ?T)))
                            (Lambda (?T)
                                    (If (= ?T ?Time)
                                        (Value-At (Mass-Rate-Out ?Cv)
                                                  ?T)))))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Non-Steady-State-Flow-Process ?Self)
        (And (Forall (?Cv)
                     (=> (Process-Cv ?Self ?Cv)
                         (= (- (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Heat-Rate ?Self)
                                                     ?T)))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Work-Rate ?Self)
                                                     ?T))))
                            (+ (- (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Enthalpy-Rate-Out ?Cv)
                                              ?T)))
                                  (Lambda 
                                      (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Enthalpy-Rate-In ?Cv)
                                              ?T))))
                               (- (Lambda (?T)
                                          (If (= ?T ?Time)
                                              (Value-At 
                                                  (Pe-Rate-Out ?Cv)
                                                  ?T)))
                                  (Lambda (?T)
                                          (If (= ?T ?Time)
                                              (Value-At (Pe-Rate-In ?Cv)
                                                        ?T))))
                               (- (Lambda (?T)
                                          (If (= ?T ?Time)
                                              (Value-At 
                                                  (Ke-Rate-Out ?Cv)
                                                  ?T)))
                                  (Lambda (?T)
                                          (If (= ?T ?Time)
                                              (Value-At (Ke-Rate-In ?Cv)
                                                        ?T))))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Energy-Rate ?Cv)
                                                     ?T)))))))
             (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda (?T)
                                (If (= ?T ?Time)
                                    (Value-At (Energy-Rate ?Cv) ?T)))
                        (+ (Lambda 
                               (?T)
                               (If (= ?T ?Time)
                                   (Value-At (Internal-Energy-Rate ?Cv)
                                             ?T)))
                           (Lambda (?T)
                                   (If (= ?T ?Time)
                                       (Value-At (Ke-Rate ?Cv) ?T)))
                           (Lambda (?T)
                                   (If (= ?T ?Time)
                                       (Value-At (Pe-Rate ?Cv) ?T)))))))
             (Forall 
                 (?Cv)
                 (=> (Process-Cv ?Self ?Cv)
                     (= (Lambda 
                            (?T)
                            (If (= ?T ?Time)
                                (Value-At 
                                    (Entropy-Generation-Rate ?Self)
                                    ?T)))
                        (+ (- (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Entropy-Rate-Out ?Cv)
                                              ?T)))
                              (Lambda (?T)
                                      (If (= ?T ?Time)
                                          (Value-At 
                                              (Entropy-Rate-In ?Cv)
                                              ?T))))
                           (- (/ (Lambda (?T)
                                         (If (= ?T ?Time)
                                             (Value-At (Heat-Rate ?Self)
                                                       ?T)))
                                 (Lambda 
                                     (?T)
                                     (If (= ?T ?Time)
                                         (Value-At 
                                             (Heat-Transfer-Temperature ?Self)
                                             ?T)))))
                           (Lambda (?T)
                                   (If (= ?T ?Time)
                                       (Value-At (Entropy-Rate ?Cv)
                                                 ?T)))))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Irreversibility-Rate ?Self)
                                      ?T)))
                (* (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At (Entropy-Generation-Rate ?Self)
                                         ?T)))
                   (Lambda (?T)
                           (If (= ?T ?Time)
                               (Value-At 
                                   (State-Temperature *Dead-State*)
                                   ?T)))))
             (Forall (?Cv)
                     (=> (Process-Cv ?Self ?Cv)
                         (= (Lambda (?T)
                                    (If (= ?T ?Time)
                                        (Value-At (Mass-Rate ?Cv) ?T)))
                            (- (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Mass-Rate-In ?Cv)
                                                     ?T)))
                               (Lambda (?T)
                                       (If (= ?T ?Time)
                                           (Value-At (Mass-Rate-Out ?Cv)
                                                     ?T))))))))))

(Forall (?Self ?Time)
        (=> (Active ?Time Condensor-System ?Self)
            (= (Lambda (?T)
                       (If (= ?T ?Time)
                           (Value-At (Mass-Rate-In (Hf-Cv ?Self)) ?T)))
               (Lambda (?T)
                       (If (= ?T ?Time)
                           (Value-At (Mass-Rate-Out (Hf-Cv ?Self))
                                     ?T))))))

(Forall 
    (?Self ?Time)
    (=> (Active ?Time Power-System-Eight-One ?Self)
        (And (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Thermal-Efficiency ?Self) ?T)))
                (/ (- (- (Lambda 
                             (?T)
                             (If (= ?T ?Time)
                                 (Value-At 
                                     (Specific-Enthalpy 
                                         (Outlet-Stream 
                                             (Blr-Cv (Blr-System ?Self))))
                                     ?T)))
                         (Lambda 
                             (?T)
                             (If (= ?T ?Time)
                                 (Value-At 
                                     (Specific-Enthalpy 
                                         (Outlet-Stream 
                                             (Tbn-Cv (Tbn-System ?Self))))
                                     ?T))))
                      (- (Lambda 
                             (?T)
                             (If (= ?T ?Time)
                                 (Value-At 
                                     (Specific-Enthalpy 
                                         (Outlet-Stream 
                                             (Pmp-Cv (Pmp-System ?Self))))
                                     ?T)))
                         (Lambda 
                             (?T)
                             (If (= ?T ?Time)
                                 (Value-At 
                                     (Specific-Enthalpy 
                                         (Outlet-Stream 
                                             (Hf-Cv (Cdnsr-System ?Self))))
                                     ?T)))))
                   (- (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Blr-Cv (Blr-System ?Self))))
                                  ?T)))
                      (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Pmp-Cv (Pmp-System ?Self))))
                                  ?T))))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Back-Work-Ratio ?Self) ?T)))
                (/ (- (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Pmp-Cv (Pmp-System ?Self))))
                                  ?T)))
                      (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Hf-Cv (Cdnsr-System ?Self))))
                                  ?T))))
                   (- (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Blr-Cv (Blr-System ?Self))))
                                  ?T)))
                      (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Tbn-Cv (Tbn-System ?Self))))
                                  ?T))))))
             (= (Lambda 
                    (?T)
                    (If (= ?T ?Time)
                        (Value-At (Heat-Rate 
                                      (Htfr-Prcs (Blr-System ?Self)))
                                  ?T)))
                (* (Lambda 
                       (?T)
                       (If (= ?T ?Time)
                           (Value-At 
                               (Mass-Rate-In (Blr-Cv (Blr-System ?Self)))
                               ?T)))
                   (- (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Blr-Cv (Blr-System ?Self))))
                                  ?T)))
                      (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Pmp-Cv (Pmp-System ?Self))))
                                  ?T))))
                   (/ 1 3600000)))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Cycle-Mass-Rate ?Self) ?T)))
                (* 3.6
                   (/ (Lambda (?T)
                              (If (= ?T ?Time)
                                  (Value-At (Net-Work-Output-Rate ?Self)
                                            ?T)))
                      (- (- (Lambda 
                                (?T)
                                (If (= ?T ?Time)
                                    (Value-At 
                                        (Specific-Enthalpy 
                                            (Outlet-Stream 
                                                (Blr-Cv 
                                                    (Blr-System ?Self))))
                                        ?T)))
                            (Lambda 
                                (?T)
                                (If (= ?T ?Time)
                                    (Value-At 
                                        (Specific-Enthalpy 
                                            (Outlet-Stream 
                                                (Tbn-Cv 
                                                    (Tbn-System ?Self))))
                                        ?T))))
                         (- (Lambda 
                                (?T)
                                (If (= ?T ?Time)
                                    (Value-At 
                                        (Specific-Enthalpy 
                                            (Outlet-Stream 
                                                (Pmp-Cv 
                                                    (Pmp-System ?Self))))
                                        ?T)))
                            (Lambda 
                                (?T)
                                (If (= ?T ?Time)
                                    (Value-At 
                                        (Specific-Enthalpy 
                                            (Outlet-Stream 
                                                (Hf-Cv (Cdnsr-System ?Self))))
                                        ?T))))))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Cycle-Mass-Rate ?Self) ?T)))
                (Lambda 
                    (?T)
                    (If (= ?T ?Time)
                        (Value-At (Mass-Rate-In 
                                      (Blr-Cv (Blr-System ?Self)))
                                  ?T))))
             (= (Lambda (?T)
                        (If (= ?T ?Time)
                            (Value-At (Cycle-Mass-Rate ?Self) ?T)))
                (Lambda 
                    (?T)
                    (If (= ?T ?Time)
                        (Value-At (Mass-Rate-In 
                                      (Tbn-Cv (Tbn-System ?Self)))
                                  ?T))))
             (= (Lambda 
                    (?T)
                    (If (= ?T ?Time)
                        (Value-At 
                            (Condensor-Heat-Out-Rate 
                                (Cdnsr-System ?Self))
                            ?T)))
                (* (Lambda 
                       (?T)
                       (If (= ?T ?Time)
                           (Value-At 
                               (Cycle-Mass-Rate 
                                   (Hf-Cv (Cdnsr-System ?Self)))
                               ?T)))
                   (- (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Tbn-Cv (Tbn-System ?Self))))
                                  ?T)))
                      (Lambda 
                          (?T)
                          (If (= ?T ?Time)
                              (Value-At 
                                  (Specific-Enthalpy 
                                      (Outlet-Stream 
                                          (Hf-Cv (Cdnsr-System ?Self))))
                                  ?T)))))))))