Page 108 - Aeronautical Engineer Data Book
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84      Aeronautical Engineer’s Data Book

       y             ∂v   ∂v
                   v+   δx+   δy
                     ∂x   ∂y
                           ∂u   ∂u
                   ∆m    u+   δx+   δy
                           ∂x   ∂y
                v    Q(x+δx,y+δy)
                   u
               P(x,y)


       0                    x
      Fig. 5.4  The vorticity equation basis in 2-D

       y
            ψ           ψ + dψ




                     dQ
                              B
                                u
                                   dy
                    A
                           v
                           dx



       0                                   x
      Fig. 5.5  Flow rate (q) and stream function ( ) relationship









                    δs   β
                          q   β
                             q cos β
                     q sin β



      Fig. 5.6  Velocity potential basis
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