Effects of Turbulent Dispersion on the Wind Speed Profile in the Surface Layer

New Reynolds mean momentum equations including turbulent viscosity and dispersion are used to ana-lyze the vertical profile of wind speed in the surface layer. It is demonstrated that the wind profile of the sur-face layer including turbulent dispersion has a logarithmic modification on the classical power law. Underthe condition of unstable stratification, the effect of dispersion is stronger than under stable stratification.Under neutral stratification, the power law degenerates to the logarithmic law, but the yon Karman con-stant is replaced by k1 =(l+k/4)-1k, which can also be obtained by similarity theory.