Function STREAM-AREA


Slots on this function:

Documentation:
cross sectional area of the stream
Instance-Of: Function, Quantity-function
Arity: 2
Range: Everywhere-continuous-quantity

Other Related Axioms:

(Inherited-Facet-Value Slot-Documentation
                       2d-Stream
                       Stream-Area
                       Cross Sectional Area Of The Stream)

(Quantity.Dimension (Stream-Area ?Self) Area-Dimension)

(Inherited-Facet-Value Slot-Cardinality 2d-Stream Stream-Area 1)

(Has-Quantity-Function 2d-Stream Stream-Area)

(Slot-Documentation 2d-Stream
                    Stream-Area
                    Cross Sectional Area Of The Stream)

(=> (2d-Stream ?Self)
    (And (Value-Cardinality ?Self Stream-Area 1)
         (Quantity.Dimension (Stream-Area ?Self) Area-Dimension)))

(=> (Stream-Area $X $Y) (Everywhere-Continuous-Quantity $Y))

(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)))))))