Acoustic diffraction near a finite plane in a moving fluid

We solve a new canonical problem: that of the diffraction of a point source by an absorbing finite plane in a moving fluid, introducing the Kutta-Joukowski condition. The effect of absorption on the diffracted field is shown. Expressions for the total field for the leading edge (no wake present) and the trailing edge (wake present) situation are given. The problem is solved using integral transforms, the Wiener-Hopf technique and asymptotic methods. It is found that the field produced by the Kutta-Joukowski condition is substantially in excess of that in its absence when the source is near the edge.