Jl. Sun et L. Mahrt, DETERMINATION OF SURFACE FLUXES FROM THE SURFACE RADIATIVE TEMPERATURE, Journal of the atmospheric sciences, 52(8), 1995, pp. 1096-1106
This study examines the bulk aerodynamic method for estimating surface
fluxes of heat and moisture using the surface radiative temperature.
The surface radiative temperature is often the only available surface
temperature from field measurements. Models typically predict heat flu
xes from the surface radiative temperature computed from the surface e
nergy balance. In this study, the corresponding radiometric exchange c
oefficient and radiometric roughness height are computed from tower- a
nd low-level aircraft data taken during four different field programs.
The data analysis shows that the radiometric exchange coefficient doe
s not increase with increasing instability. This is because the radiom
etric exchange coefficient must compensate for the large vertical temp
erature difference resulting from use of the surface radiative tempera
ture. The data analysis and scaling arguments indicate that the radiom
etric exchange coefficient for heat in the bulk aerodynamic formulatio
n is closely related to theta()/Delta theta for both stable and unsta
ble conditions, where Delta theta is the difference between the surfac
e radiative temperature and the air temperature and theta() is the ne
gative of the heat flux divided by the surface friction velocity. Appl
ication of Monin-Obukhov similarity theory with surface radiative temp
erature also reduces to a relatively circular internal relationship be
tween the radio,netric roughness height and theta()/Delta theta. This
roughness height is flow dependent and not systematically related to
the roughness height for momentum. As an additional complication. the
observed radiometric exchange coefficient for heat depends on the rela
tionship between the measured surface radiative temperature and the mi
croscale distribution of surface radiative temperature in the footprin
t of the heat flux measurement. Analogous problems affect the predicti
on of the moisture Aux based on the saturation vapor pressure at the s
urface radiative temperature.