On Two-Dimensional Supersonic Flows
Abstract
In previous reports by the author, the method of operators has been applied to the investigation of two-dimensional irrotational flow patterns of an ideal compressible fluid, mostly in the subsonic case. Using a similar approach in the present paper, the author defines two different operators which generate supersonic two-dimensional flow patterns from differentiable functions of one real variable (An operator is any rule by means of which one function is converted into another. This concept is discusses in some detail in the body of this paper.) Since operators of the type considered preserve many properties of the functions to which they are applied and since the theory of functions of one real variable is more extensively developed than that of solutions of the compressibility equations, the results obtained can be used as a basis for the investigation of supersonic flow patterns.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1949
- Accession Number
- ADA380623
Entities
People
- Stefan Bergman
Organizations
- Brown University