Har. De Bruin et al., Approximate solutions for the Obukhov length and the surface fluxes in terms of bulk Richardson numbers, BOUND-LAY M, 95(1), 2000, pp. 145-157
Simple analytic approximate solutions are presented for the set of equation
s that follows from the Monin-Obukhov flux-profile relationships using the
stability functions of Dyer (unstable case) and Beljaars-Holtslag (stable c
ase). Several publications are devoted to the same subject, however the cur
rent approach contains some new features, namely: (a) it appears to be more
accurate for unstable situations and (b) it applies also to the general ca
se where wind speed (u) and potential temperature (theta) are given at diff
erent levels. In order to illustrate the accuracy of the approach a compari
son with the actual solutions is presented for some selected combinations o
f theta and u levels typical for various practical applications.