the kinetic energy differential of the fluid across the control volume
(Inherited-Facet-Value
Slot-Documentation
Control-Volume
D-Ke-Rate
The Kinetic Energy Differential Of The Fluid Across The Control Volume)
(Quantity.Dimension (D-Ke-Rate ?Self) Power-Dimension)
(Inherited-Facet-Value Slot-Cardinality Control-Volume D-Ke-Rate 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 D-Ke-Rate)
(Slot-Documentation
Control-Volume
D-Ke-Rate
The Kinetic Energy Differential Of The Fluid Across 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)))
(=> (D-Ke-Rate $X $Y) (Everywhere-Continuous-Quantity $Y))
(Forall (?Self ?Time)
(=> (Active ?Time Control-Volume-Negligible-Ke-Change ?Self)
(= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (D-Ke-Rate (Cv-Involved ?Self))
?T)))
0)))
(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 Steady-Flow-Adiabatic-Heat-Exchange ?Self)
(And (= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (Work-Rate ?Self) ?T)))
0)
(Forall (?Cv)
(=> (Process-Cv ?Self ?Cv)
(= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (D-Ke-Rate ?Cv)
?T)))
0)))
(Forall (?Cv)
(=> (Process-Cv ?Self ?Cv)
(= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (D-Pe-Rate ?Cv)
?T)))
0))))))
(Forall (?Self ?Time)
(=> (Active ?Time Steady-Flow-Heat-Transfer ?Self)
(And (= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (Work-Rate ?Self) ?T)))
0)
(Forall (?Cv)
(=> (Process-Cv ?Self ?Cv)
(= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (D-Ke-Rate ?Cv)
?T)))
0)))
(Forall (?Cv)
(=> (Process-Cv ?Self ?Cv)
(= (Lambda (?T)
(If (= ?T ?Time)
(Value-At (D-Pe-Rate ?Cv)
?T)))
0))))))