FURTHER INVESTIGATION OF THE HODOGRAPH TRANSFORMATION FOR IRROTATIONAL CONICAL FLOW
Abstract
The determination of the local properties of the hodograph transformation for irrotational conical flow by means of differential geometry was reviewed to continue the investigation for points on conical-branch lines of the first type, conical branch lines of the second type, and conical branch-limit lines, all of which are introduced. A classification of the singularities of the transformation was obtained based on the relation between the strengths of the waves, propagating along the conical characteristics and the geometry of the hodograph surface. As a further example how knowledge of the local properties of the transformation and consideration of the structure of the waves, as reflected in the shape of the hodograph surface may be useful for the formulation of a boundary value problem, the flow on the expansion side of a flat swept forward arrow wing with supersonic leading edges is discussed. Arguments are given for the non-existence of an inviscid solution above a certain critical angle of attack. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1961
- Accession Number
- AD0271018
Entities
People
- J.w. Reyn
Organizations
- Boeing