BEHAVIOR OF SUPERCRITICAL NOZZLES UNDER THREE-DIMENSIONAL OSCILLATORY CONDITIONS
Abstract
A linearized treatment of three-dimensional oscillatory flow in supercritical nozzles was performed for the two cases where the steady-state flow is axisymmetric or two-dimensional. In the axisymmetric case, perturbation series were employed to study the nonlinear oscillations. In these analyses, variables were separated, reducing the system of partial differential equations to a system of ordinary differential equations. The variables describing the transverse dependencies of the flow properties are governed by well-known differential equations (for example, Bessel's equation is obtained). The axial dependencies, on the other hand, are governed by differential equations which must be solved by numerical means. The nozzle admittance coefficients are related to the axial dependencies of the flow properties. Certain techniques were applied to reduce the order of the differential equations for the purpose of easier calculation of the admittance coefficients. These admittance coefficients are to be used in the boundary condition applied at the exit of the chamber joined to the nozzle and their calculation is the most important result of this research effort.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1967
- Accession Number
- AD0672435
Entities
People
- Luigi Crocco
- William A. Sirignano
Organizations
- AGARD