Saffman, P. G. (1973) Structure of turbulent line vortices. Physics of Fluids, 16 (8). pp. 1181-1188. ISSN 1070-6631. doi:10.1063/1.1694496. https://resolver.caltech.edu/CaltechAUTHORS:SAFpof73
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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.
Item Type: | Article | ||||||
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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. | ||||||
Issue or Number: | 8 | ||||||
DOI: | 10.1063/1.1694496 | ||||||
Record Number: | CaltechAUTHORS:SAFpof73 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SAFpof73 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 3687 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 29 Jun 2006 | ||||||
Last Modified: | 08 Nov 2021 20:11 |
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