B. Grisogono, A GENERALIZED EKMAN LAYER PROFILE WITH GRADUALLY VARYING EDDY DIFFUSIVITIES, Quarterly Journal of the Royal Meteorological Society, 121(522), 1995, pp. 445-453
The classical analytical solution for the Ekman layer flow has been ge
neralized by introducing an assigned non-rapidly-varying eddy diffusiv
ity K(z). Asymptotic expressions for the wind components u, nu Q obtai
ned via the WKB method retain the form and, to a large extent, the sim
plicity of the classical case in which K is kept constant. Three examp
les of idealized K-profiles are used to compare the numerical, WKB and
constant-K solutions for Ekman profiles.