The Ekman spiral for two types of eddy viscosities

This paper further investigates the classical problem of the wind in the steady atmospheric Ekman layer. For the case of eddy viscosity being subjected to a quadratic function, we construct an explicit solution, where the used approach is different from Delia [Analytical atmospheric Ekman-type solutions with height-dependent eddy viscosities. J Math Fluid Mech. 2021;23:Article ID 18]. For the case of eddy viscosity being related to two-value piecewise-constant, we give a formula to compute the surface deflection angle by the constructed solution.