PROFILING THE SUPERSONIC SECTION OF AN AXISYMMETRIC MAXIMUM THRUST NOZZLE,
Abstract
The problem of the optimum shaping of the supersonic portion of the nozzle is studied within the framework of the variational approach. Such degenerated variational problems are solved by means of the coupled variations at the different ends of the extremum curve which allow the positioning of the extremum curve through two assigned points. The basic relationships and the mathematical formulation of the problem are followed by a study of the extremum equation solution, the condition of transversality of the contour with fixed coordinate points, the presentation of the computational methods, a brief analysis of accuracy, and the presentation of the tabulated results. These show that the solution of the degenerated problem coincides with the solution obtained by means of the classical variational calculus of nondegenerate problems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 28, 1967
- Accession Number
- AD0660728
Entities
People
- A. A. Sergienko
- I. D. Sandomirskaya
Organizations
- National Air and Space Intelligence Center