Diffraction by a half-plane in a moving fluid

In the following work we solve the problem of the diffraction of a plane sound wave by an impedance half-plane in a moving fluid. Expressions for the total far field are derived for both the leading edge and trailing edge situations. In the trailing edge situation the problem has the added complication of a trailing vortex sheet or wake. Hence a Kutta–Joukowski edge condition is imposed to ensure that the fluid velocity is finite at the edge and to obtain a unique solution to the problem.