The stability of an expanding circular vortex layer
Abstract
The stability of a circular cylindrical vortex layer against small disturbances that do not bend the vortex lines is examined. A short-wave analysis of the equations governing the growth of disturbances for a thin vortex layer reveals the stabilizing influence of the vortex-layer thickness when the layer is undergoing stretching. Also, the onset of amplification of very short waves is found to be delayed. Certain experimental observations due to Crow and Barker (1977) are discussed in view of the results of the analysis.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- March 1981
- DOI:
- Bibcode:
- 1981RSPSA.375..443D
- Keywords:
-
- Flow Stability;
- Inviscid Flow;
- Thickness;
- Turbulent Flow;
- Vortex Sheets;
- Approximation;
- Boundary Value Problems;
- Flow Velocity;
- Vorticity;
- Fluid Mechanics and Heat Transfer