Design of Maximum Thrust Nozzles for Gas-Particle Flows. Volume 1. Theoretical Development and Results
Technical rept. 15 Jul 1969-31 May 1971
PURDUE UNIV LAFAYETTE IN JET PROPULSION CENTER
Pagination or Media Count:
An optimization analysis is presented for nozzles with gas-particle flows. The problem is formulated to maximize the axial thrust produced along the nozzle contour for a general isoperimetric constraint such as constant nozzle length or constant nozzle surface area. The effects of the ambient pressure are included in the thrust expression to be maximized. The characteristic and compatibility equations are developed and numerical techniques are presented for use in conjunction with the characteristic and compatibility equations. A solution procedure is presented which determines whether or not a given nozzle contour is an optimal solution and a relaxation technique is presented which adjusts the nozzle contour toward the optimal solution. Selected parametric studies are presented. These studies illustrate the effects of changing mesh size, particle size, particle mass flow rate, inlet angle, drag coefficients, heat transfer coefficients, throat radius of curvature, and the scale on the thrust performance and the nozzle geometry of the optimal, fixed length nozzle.
- Jet and Gas Turbine Engines