A Power Wind Law for Turbulent Transfer Computations

The parameters C and m of a power law for the wind profile u = Cu*(z/z₀)^m, where u* is the friction velocity and z₀ is the roughness length of the surface, are determined as functions of the roughness and of the Monin‐Obukhov stability length L through comparison with the log linear law for stable conditions and the interpolation law for unstable conditions. As expected, for neutral conditions the results show that m and C are approximately equal to 1/7 and 6, respectively. Parameter C increases slightly whereas m decreases with decreasing stability.