Saffman, P. G. and Pullin, D. I. (1996) Calculation of velocity structure functions for vortex models of isotropic turbulence. Physics of Fluids, 8 (11). pp. 30723084. ISSN 10706631. http://resolver.caltech.edu/CaltechAUTHORS:SAFpof96

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Abstract
Velocity structure functions (u'p–up)m are calculated for vortex models of isotropic turbulence. An integral operator is introduced which defines an isotropic twopoint field from a volumeorientation average for a specific solution of the Navier–Stokes equations. Applying this to positive integer powers of the longitudinal velocity difference then gives explicit formulas for (u'p–up)m as a function of order m and of the scalar separation r. Special forms of the operator are then obtained for rectilinear stretched vortex models of the Townsend–Lundgren type. Numerical results are given for the Burgers vortex and also for a realization of the Lundgrenstrained spiral vortex, and comparison with experimental measurement is made. In an Appendix, we calculate values of the velocityderivative moments for the Townsend–Burgers model.
Item Type:  Article 

Additional Information:  ©1996 American Institute of Physics. Received 1 March 1996; accepted 16 July 1996. The authors wish to thank Patrick Tabeling for supplying unpublished measurements of longitudinal velocity structure functions. D.I.P. was partially supported by NSF Grant No. CTS9311811 and P.G.S. was partially supported by the Department of Energy under Grant No. DEFG0389ER25073. We thank Dan Meiron and Donal Gallagher for helping with the asymptotic expansion of (34) for large r. 
Subject Keywords:  SPIRAL VORTEX 
Record Number:  CaltechAUTHORS:SAFpof96 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:SAFpof96 
Alternative URL:  http://dx.doi.org/10.1063/1.869081 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  9609 
Collection:  CaltechAUTHORS 
Deposited By:  Tony Diaz 
Deposited On:  18 Feb 2008 
Last Modified:  26 Dec 2012 09:50 
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