Page 120 - Aeronautical Engineer Data Book
P. 120

Section 6


      Basic aerodynamics








      6.1 General airfoil theory
      When an airfoil is located in an airstream, the
      flow divides at the leading edge, the stagna­
      tion point. The camber of the airfoil section
      means that the air passing over the top
      surface has further to travel to reach the trail­
      ing edge than that travelling along the lower
      surface. In accordance with Bernoulli’s
      equation the higher velocity along the upper
      airfoil surface results in a lower pressure,
      producing a lift force. The net result of the
      velocity differences produces an effect equiv­
      alent to that of a parallel air stream and a
      rotational velocity (‘vortex’) see Figures 6.1
      and 6.2.
        For the case of a theoretical finite airfoil
      section, the pressure on the upper and lower
      surface tries to equalize by flowing round the
      tips. This rotation persists downstream of the
      wing resulting in a long U-shaped vortex (see
      Figure 6.1). The generation of these vortices
      needs the input of a continuous supply of
      energy; the net result being to increase the drag
      of the wing, i.e. by the addition of so-called
      induced drag.

      6.2 Airfoil coefficients
      Lift, drag and moment (L, D, M) acting on an
      aircraft wing are expressed by the equations:
                                    U 2
                                  2
                                 l
        Lift (L) per unit width = C L
                                    2
   115   116   117   118   119   120   121   122   123   124   125