4.2.3.1 Coriolis force

The Coriolis force

$${\bf F}_{C} = {\bf u} \wedge f \, \hat{z} = f(v,-u,0)$$ (4.14)

arises from writing the equations in the rotating reference frame of the earth. This force does zero work on the fluid, since ${\bf u} \cdot {\bf F}_{C} = 0$. In the northern hemisphere, this force acts to the right of the fluid velocity vector, and in the south, it acts to the left.