the operating mode model of the 2d stream to express the relation between kinetic energy rate, mass rate and velocity
(Forall (?Self ?Time) (=> (Active ?Time 2d-Stream-Kinetic-Energy ?Self) (= (Lambda (?T) (If (= ?T ?Time) (Value-At (Ke-Rate (2d-Stream-Involved ?Self)) ?T))) (* 0.5 (Lambda (?T) (If (= ?T ?Time) (Value-At (Mass-Rate (2d-Stream-Involved ?Self)) ?T))) (Expt (Lambda (?T) (If (= ?T ?Time) (Value-At (Velocity (2d-Stream-Involved ?Self)) ?T))) 2))))) (Forall (?Self ?Time) (<=> (Active ?Time 2d-Stream-Kinetic-Energy ?Self) (And (2d-Stream-Kinetic-Energy ?Self) (Active ?Time 2d-Stream-Operating-Mode ?Self))))
(Forall (?Self ?Time) (=> (Active ?Time 2d-Stream-Kinetic-Energy ?Self) (= (Lambda (?T) (If (= ?T ?Time) (Value-At (Ke-Rate (2d-Stream-Involved ?Self)) ?T))) (* 0.5 (Lambda (?T) (If (= ?T ?Time) (Value-At (Mass-Rate (2d-Stream-Involved ?Self)) ?T))) (Expt (Lambda (?T) (If (= ?T ?Time) (Value-At (Velocity (2d-Stream-Involved ?Self)) ?T))) 2))))) (Forall (?Self ?Time) (<=> (Active ?Time 2d-Stream-Kinetic-Energy ?Self) (And (2d-Stream-Kinetic-Energy ?Self) (Active ?Time 2d-Stream-Operating-Mode ?Self))))