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88      Aeronautical Engineer’s Data Book
        Values of Re for 2000 < Re < 2300 are gener­
      ally considered to result in transition flow.
      Exact flow regimes are difficult to predict in
      this region.


      5.4 Boundary layers
      5.4.1 Definitions
      The boundary layer is the region near a surface
      or wall where the movement of the fluid flow
      is governed by frictional resistance.
        The  main flow  is the region outside the
      boundary layer which is not influenced by
      frictional resistance and can be assumed to be
      ‘ideal’ fluid flow.
        Boundary layer thickness:  it is convention
      to assume that the edge of the boundary layer
      lies at a point in the flow which has a velocity
      equal to 99% of the local mainstream
      velocity.

      5.4.2 Some boundary layer equations
      Figure 5.9 shows boundary layer velocity
      profiles for dimensional and non-dimensional
      cases. The non-dimensional case is used to
      allow comparison between boundary layer
      profiles of different thickness.




       Dimensional case      Non-dimensional case
                     Edge   y             Edge
               ∼
      y    0.99 U∼U 1  of BL  δ  = y  u = 1.0  of BL



            u          δ          u
                                           u = 1.0
         ��       y                     y
         ∂u
         ∂y y=o
                    u                    u
                                          = u
                                         U 1
      Fig. 5.9  boundary layer velocity profiles
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