Vortex Dynamics
Abstract
A theoretical description of vortex breakdown, suitable for design and control purposes, is under development. The objective is to incorporate the essential physical processes governing the occurrence, location, and strength of the phenomenon. It has been shown, under sponsorship of this grant, that the axisymmetric Euler equations possess solutions describing flow structures creating very strong disruptions of concentrated vortex flows having axial streaming. The nature of four classes of flow structures of this character have been described, and the interrelationships between them explained. Numerical analytical tools needed to treat the very large algebraic eigenvalue problems encountered in stability analyses of flows such as those found have been developed. In other tasks, (1) the linear instability characteristics of the Hall-Stewartson model of the leading-edge vortex have been determined asymptotically for large Reynolds numbers and (2) nonlinear transitions and mode interactions have been studied for viscous rotating pipe flow. Keywords: Aerodynamics vortices; Vortex breakdown; Stability; Nonlinear transitions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 07, 1989
- Accession Number
- ADA212119
Entities
People
- Sidney Leibovich
Organizations
- Cornell University