The sloping boundary exerts the <pressure drag>
$$
-\overline{p'h_x}
=-\frac12\rho_0mkU^2h_0^2
$$
on the fluid. At generation this equals $\rho_0\overline{u'w'}$: the mountain supplies a negative vertical flux of horizontal momentum to the wave. Where the wave dissipates, convergence of that flux transfers the same westward momentum to the mean flow. A forcing that maintains the prescribed uniform basic current must supply the compensating eastward momentum.

Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 333 / 4 / iv / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-333/4/iv/solution