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Structure of turbulent line vortices

Saffman, P. G. (1973) Structure of turbulent line vortices. Physics of Fluids, 16 (8). pp. 1181-1188. ISSN 1070-6631. http://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
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.
Record Number:CaltechAUTHORS:SAFpof73
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAFpof73
Alternative URL:http://dx.doi.org/10.1063/1.1694496
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:26 Dec 2012 08:55

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