Conventional flux-profile relationships for the stably stratified atmospheric surface layer are modified accounting for possible effects of the free-flow stability ont he boundary layer and the surface layer. In the revised log-linear profiles, slope factors traditionally considered as constants become functions of S = NL / u_*, where u_* is the friction velocity, L is the Monin-Obukhov (MO) length, and N is the Brunt-Vaisala frequency in the free flow. The proposed model allows well-developed turbulence at very strong static stability, up to Richardson numbers, Ri, of order 10, and results in a reasonable dependence of the turbulent Prandtl number, Pt_T, on Ri in the z-less stratification layer (both features are disregarded in the traditional similarity theory). The model provides simple tools for improved flux parameterization.
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