SELF-SIMILAR HYDRODYNAMICS WITH VORTEX SHEETS,
Abstract
The problem of vortex sheets caused by the motion of sharp obstacles with respect to fluid may be treated with the aid of a similarity law. The subject is given further breadth by including the Helmholtz instability phenomenon. This is accomplished by posing a problem in which the plane interface of a two-dimensional jet is subjected to a self-similar disturbance. Unity of the analysis is achieved by a semi-inverse approach which treats all problems asymptotically in the neighborhood of rolled-up vortex sheets, or as time t tends to infinity. A suggested iterative technique for finding total solutions is given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1965
- Accession Number
- AD0620323
Entities
People
- Richard Coval Alexander
Organizations
- Johns Hopkins University