ON THE INTERACTION OF A TWO-DIMENSIONAL JET WITH A PARALLEL FLOW
Abstract
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 Euler's equations are found for H1/H2 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 Bernoulli's 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0631873
Entities
People
- Alexander Pal
- Robert C. Ackerberg
Organizations
- New York University Tandon School of Engineering