Structure of turbulent line vortices
- Creators
- Saffman, P. G.
Abstract
A theory is given to explain the observed dependence on Reynolds number of the decay of turbulent line vortices. It is argued that the turbulent vortex has a triple structure. There is an outer region for r > r1 (r1 is the radius of maximum tangential velocity) with a logarithmic distribution of circulation, and for r < r1 an inner region and viscous core in both of which the motion is close to solid body rotation. It is predicted that r1 ~ (vT1 t2)1/4, where 1 is the circulation at r1. Further, T1/T0 is predicted to be a slowly decreasing function of T0/v, where T0 is the strength of the vortex. The development of an overshoot of circulation in the outer region is discussed, and the axial velocities produced by growth of a trailing vortex are calculated.
Additional Information
©1973 American Institute of Physics. Received 20 November 1972. This work was supported by the Air Force Office of Scientific Research AFOSR-71-2092.Files
Name | Size | Download all |
---|---|---|
md5:eb3c86c1c52e3578fa060a2e380f7e94
|
643.3 kB | Preview Download |
Additional details
- Eprint ID
- 3687
- Resolver ID
- CaltechAUTHORS:SAFpof73
- Created
-
2006-06-29Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field