The forces on a parcel of moving air in the Ekman layer include the pressure force f

Question:

The forces on a parcel of moving air in the Ekman layer include the pressure force f _p = ??p, the Coriolis force f _hc = f v ? n? (where f = 2 ? sin ?), and a frictional force directed opposite to the wind velocity f _f = ??(z)v, where ?(z) arises from the velocity gradient and turbulent viscosity. The coefficient function ?(z) decreases with increasing height z through the Ekman layer and vanishes at the top of the layer. Find the wind velocity by demanding that the sum of the forces on the parcel vanishes. Express v in terms of components along ?p and n? ? ?p. Show that your result reproduces qualitatively the wind pattern (both in direction and magnitude) shown in Figure 28.10