Page 163 - Aeronautical Engineer Data Book
P. 163

136     Aeronautical Engineer’s Data Book
      Approach distance
        S air  �  V 2 obs   – V 2 TD  obs� (L/D)
            =     + h
                   2g
      where V obs  = speed at obstacle, V TD   = speed at
                     = obstacle height, and L/D =
      touchdown, h obs
      lift-to-drag ratio.
      Landing ground roll
                                2
               (W/S)      �    A (C – µ BRK C L  �
                                    D
         =   ln 1–
      S gnd
           g (C D –µ BRK C L )   ((F/W)–µ BRK C Lm s )
      9.2 Aircraft range and endurance
      The main parameter is the safe operating range;
      the furthest distance between airfields that an
      aircraft can fly with sufficient fuel allowance for
      headwinds, airport stacking and possible diver­
      sions. A lesser used parameter is the gross still
      air range; a theoretical range at cruising height
      between airfields. Calculations of range are
      complicated by the fact that total aircraft mass
      decreases as a flight progresses, as the fuel mass
      is burnt (see Figure 9.3). Specific air range (r)
      is defined as distance/fuel used (in a short
      time). The equivalent endurance term is
      specific endurance (e).
        General   expressions  for  range   and
      endurance can be shown to follow the models
      in Table 9.2.



           Mass

                 Total mass       Unusable and
                                   reserve fuel
         Initial mass m 0   Initial fuel mass  Fuel   m = m(t)   Final mass  m 1

                                  or
               Engines + structure + payload
                          Distance   m = m(x)
      Fig. 9.3  Range terminology
   158   159   160   161   162   163   164   165   166   167   168