On the Atmospheric Turbulence, 1st Paper

The Vertical Distribution of the Wind Velocity near the Earth's Surface, (II)

Abstract

The experimentally obtained logarithmic fovmula of the wind velocity
where u denotes the wind velocity and Z the height, α and Z₀ being constants, is examined in the light of data of Best, Heywood and Hellmann. The formula represents well the data of Best and Heywood but not that of Hellmann. The author considers that this reveals the deficiency of the experimental formula.
Hence a new formula of the eddy viscosity in the stratified atmosphere is deduced, where K. and K denote thee ddy viscosity in the stratified and the adiabatic atmosphere respectively, β the Rossby constant, and R_i the Richardson number.
The author further discusses the controversy between Sutton and Sverdrup on the velocity distribution and supports Sutton.