Some of the fundamental issues of surface layer meteorology are critic
ally reviewed. For the von Karman constant (k), values covering the ra
nge from 0.32 to 0.65 have been reported. Most of the data are, howeve
r, found in a rather narrow range between 0.39 and 0.41. Plotting all
available atmospheric data against the so-called roughness Reynolds nu
mber, Re-0=uz(0)/nu or against the surface Rossby number, Ro(0)=G/fz(
0) gives no clear indication of systematic trend. It is concluded that
k is indeed constant in atmospheric surface-layer flow and that its v
alue is the same as that found for laboratory flows, i.e. about 0.40.
Various published formulae for non-dimensional wind and temperature pr
ofiles, phi(m) and phi(h) respectively, are compared after adjusting t
he fluxes so as to give k=0.40 and (phi(h)/phi(m))z/L=0.95. It is foun
d that for \z/L\less than or equal to 0.5 the various formulae agree t
o within 10-20%. For unstable stratification the various formulations
for bh continue to agree within this degree of accuracy up to at least
z/L approximate to-2. For phi(m) in very unstable conditions results
are still conflicting. Several recent data sets agree that for unstabl
e stratification Ri approximate to 1.5z/L up to at least -z/L=0.5 and
possibly well beyond. For the Kolmogorov streamwise inertial subrange
constant, alpha(u), it is concluded from an extensive data set that al
pha(u)=0.52+/-0.02. The corresponding constant for temperature is much
more uncertain, its most probable value being, however, about 0.80, w
hich is also the most likely value for the corresponding constant for
humidity. The turbulence kinetic energy budget is reviewed. It is conc
luded that different data sets give conflicting results in important r
espects, particularly so in neutral conditions. It is demonstrated tha
t the inertial-subrange method can give quite accurate estimates of th
e fluxes of momentum, sensible heat and water vapour from high frequen
cy measurements of wind, temperature and specific humidity alone, prov
ided 'apparent' values of the corresponding Kolmogorov constants are u
sed. For temperature and humidity, the corresponding values turn out t
o be equal to the 'true' constants, so beta(A) approximate to beta app
roximate to 0.80. For momentum, however, the apparent constant alpha(u
A)approximate to 0.60.