A Power Wind Law for Turbulent Transfer Computations

Abstract

The parameters C and m of a power law for the wind profile u = Cu *( z/z 0 ) m , where u * is the friction velocity and z 0 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.