Problems for 22/5: 1) Say ¡­

Problems for 22/5:

1) Say we have a convective boundary layer, and that the drag parameterization is independent of V, the total shear. Show that the velocity in the boundary layer is always less than the geostrophic wind outside the boundary layer.

(Hint: let v_g=0, to simplify things)

2) An Ekman layer over a moving surface. Say that there is a plate at z=0 which is moving with a velocity (u,v)=(U,0). Above the plate is a stable boundary layer. Above that, the atmosphere is at rest. Write down the equations and boundary conditions for this problem. Find the solution that matches the plate velocity, and that goes to zero up into the atmosphere. Describe the solution. Which way do the velocities spiral?