Conductance of the Atmospheric Surface Layer
97
The diabatic flux and profile equations can now be written as functions
of stability and the other parameters already discussed. Only the wind
and temperature equations are given. Fluxes and profiles of water vapor,
carbon dioxide, and other scalars are similar to those for temperature.
For the diabatic case, the 4s (diabatic influence factors) in Eqs. (7.15)
increase fromunity with positive 5 (stable atmosphere) and decrease with
negative 5 . Yasuda (1988) gives the following equations.
For unstable conditions:
For stable conditions:
The flux equations are integrated using these corrections to obtain the
corrected profile equations. The diabatic profile equations are:
where \IIM and \IIH are the profile diabatic correction factors. The diabatic
correction factors are zero for neutral conditions, and can be derived from
the integration for the stable case. For unstable flow the integration cannot
be carried out analytically, so it is done numerically and an empirical
function is fit to the result. The profile diabatic correction factors are as
follows.
For unstable flow:
For stable flow:
\IIM = \IIH = 61n(l + 5').
(7.27)
The diabatic corrections are shown in Fig. 7.1.
7.6 Conductance of the Atmospheric Surface
Layer
An important result of the previous section is the derivation of the profile
equations which allow interpolation and extrapolation of atmospheric
variables. Another important result is the development of an equation for
computing the conductance of the atmospheric surface layer. Again, only
the equation for heat is given, since the equations for all other scalars are