ON THE INTERACTION OF A TWO-DIMENSIONAL JET WITH A PARALLEL FLOW
POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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The injection of a two-dimensional jet of total head H1 from an infinite plate into a uniform stream of lower total head H2 is considered, the fluids being assumed inviscid and incompressible. Steady, irrotational solutions of Eulers equations are found for H1H2 approaching infinity. The region behind the jet is treated as a stagnant wake with constant pressure equal to that of the undisturbed stream, and the jet injection angle is fixed across the jet opening. When a thin jet approximation is combined with Bernoullis principle, a non-linear boundary condition is derived along the vortex sheet separating the jet from the external flow. The resulting non-linear potential problem in the plane of the complex velocity potential for the external flow is shown by Pal to be equivalent to a variational problem. A numerical procedure based on the variational principle and the Ritz-Galerkin method is used to solve for the case of normal injection with a digital computer. The pressure distribution along the plate upstream and streamline diagrams are given.
- Fluid Mechanics