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116     Aeronautical Engineer’s Data Book
       Vector diagram for a blade element of a propeller
       O'                         A'
            Projection of
            axis of rotation
                    B
                        α   w   b

                       φ        V o
                β
       A                             c
        O       u = ωr = 2πrn   a


       Aerodynamic forces acting on a blade element
           Projection of axis   Chord line
           of rotation   O'
                                          –w

             d
          dD                    α
                dL
       b             a
                     φ   dF
              dR
                 γ
                       90˚
       c
           dQ          O
                 e
            A
      Fig. 8.1  Propeller blade elements


      The value of   which makes   b  a maximum is
      termed the optimum advance angle   opt .
        Maximum blade efficiency is given by:
                 2  – 1   2(L/D) – 1
        (  b ) max  =   =
                 2  + 1   2(L/D) + 1
      8.1.2 Performance characteristics
      The pitch and angle   have different values at
      different radii along a propeller blade. It is
      common to refer to all parameters determining
      the overall characteristics of a propeller to their
      values at either 0.7r or 0.75r.
        Lift coefficient C L  is a linear function of the
      angle of attack ( ) up to the point where the
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