Relationships between Volume, Surface and Line Distribution of Vorticity, Source and Doublicity,
Abstract
Several mathematical theorems are derived which demonstrate the equivalence of continuous volume distributions of doublicity, vorticity and source, and show furthermore that their influence may be expressed purely in terms of continuous surface distributions of these quantities over the closed boundary of the volume. These general theorems may then be particularised to 'sheets' of singularities distributed over nonclosed surfaces; amongst a number of examples, the special cases of the velocity fields induced by source, vortex and doublet sheets are considered, which under certain circumstances are equivalent to each other and reduce to simple line integrals. These theorems are expected to have some application in aerodynamic problems involving the interaction between irrotational incompressible flow regions and regions of more general flow such as those arising in aerodynamic wakes and in the jet in crossflow problem, and to be of assistance in the development of improved surface singularity techniques. (Great Britain).
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1977
- Accession Number
- ADA174678
Entities
People
- Barry Hunt