Linearized inviscid-flow theory of two- dimensional thin jet penetration into a stream.

Abstract

The potential flow of a stream that interacts with a two-dimensional thin jet of a different total head, being injected into the stream from an infinite plane surface at an arbitrary angle, is analyzed using natural coordinates. The velocity magnitudes along the interface and the nondimensional shape of the interface between the jet and the stream are obtained as functions of the injection angle and the ratio of the freestream velocity to the velocity in the jet at infinity downstream. Results are presented for several cases when the jet issues at oblique angles from the surface, and also the limiting case when the jet opposes the freestream. The latter case corresponds to the flow due to one branch of a translating two-dimensional jet after the jet has been split into two branches by impingement on the ground. It might also correspond to the flow of a two-dimensional thrust reverser with 180° flow reversal. The calculations show a deeper jet penetration than indicated by previous theories and by a single set of experimental results.