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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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.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||29 Jun 2006|
|Last Modified:||26 Dec 2012 08:55|
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