Discontinuous fluid motion past a bent plane, with special reference to aeroplane problems

The following investigation is based on the Kirchhoff-Helmholtz theory of discontinuous stream-line motion of a fluid moving through an orifice or past a barrier. The problem is two-dimensional and the fluid is assumed to be frictionless and incompressible. The question has been discussed fully by Sir G. Greenhill, F. R. S. in his report to the Advisory committee for Aeronautics, and in his book on the Dynamics of Mechanical Flight. He considers at length the fluid motion past a barrier, but in what follows a bent barrier will be considered.