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56      Aeronautical Engineer’s Data Book
      3.5 The International Standard
      Atmosphere (ISA)
      The ISA is an internationally agreed set of
      assumptions for conditions at mean sea level
      and the variations of atmosphere conditions
      with altitude. In the troposphere (up to
      11 000 m), temperature varies with altitude at
      a standard lapse rate L, measured in K (or °C)
      per metre. Above 11 000 m, it is assumed that
      temperature does not vary with height
      (Figure 3.1).
        So, in the troposphere:
        Temperature variation is given by:
               – Lh
        T = T 0
                           p 2      5.256
                                 T 2
        Pressure is given by:   =
                           p 1   T 1
        where T  = temperature at an altitude h (m)
                 = absolute temperature at mean
              T 0
                   sea level (K)
              L  = lapse rate in K/m
              p  = pressure at an altitude
      The lapse rate L in the ISA is 6.5 K/km.




                         16   The stratosphere:
                             temperature does not
                         14
                             vary with height
                         12       The ‘tropopause’
                         Altitude in ’000 m   8   The troposphere:
                         10
                               temperature lapse
                               rate L = 6.5˚C/km
                          6
                          4
                          2

      –60    –40   –20    0     20     40    60
                     Temperature, ˚C

      Fig. 3.1  The ISA; variation of temperature with altitude
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