Page 125 - Aeronautical Engineer Data Book
P. 125

Basic aerodynamics       101
      Using common approximations, the following
      equations can be derived:
              9    d
        x AC
            =    –    (C Ma )
         c    c   dC L
        where C Ma  = pitching moment coefficient at
        distance a back from LE
        x AC  = position of AC back from LE.
        c = chord length.

      6.5 Centre of pressure
      The centre of pressure (CP) is defined as the
      point in the section about which there is no
      pitching moment, i.e. the aerodynamic forces
      on the entire section can be represented by lift
      and drag forces acting at this point. The CP
      does not have to lie within the airfoil profile
      and can change location, depending on the
      magnitude of the lift coefficient C L . The CP is
      conventionally shown at distance k CP  back from
      the section leading edge (see Figure 6.5). Using


      Lift and drag only cut at the CP
                        C

              Lift


       M LE       M AC
                       Drag

             x AC
                   Aerodynamic centre
                       Lift

         M                      Drag


                 k CP
                            Centre of pressure (CP)
      Fig. 6.5  Aerodynamic centre and centre of pressure
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