A model for universal time scale of vortex ring formation

Physics of Fluids

Volumn 10, Issue 10, 1998, Pages 2436-2438

  Mohseni, Kamran ^a   Gharib, Morteza ^b  

^a California Institute of Technology   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000135685     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869785     Document Type: Article

References (8)

1. K. Mohseni, "Statistical equilibrium theory for axi-symmetric flows" (to be published).
2. M. Gharib. E. Rambod, and K. Shariff, "A universal time scale for vortex ring formation," J. Fluid Mech. 360, 121 (1998).
3. J. Norbury, "A family of steady vortex rings," J. Fluid Mech. 57, 417 (1973).
4. J. P. Sullivan, S. E. Widnall, and S. Ezekiel, "Study of vortex rings using a laser doppler velocimeter," AIAA J. 11, 1384 (1973).
5. Y. H. Wan, "Variational principles for Hill's spherical vortex and nearly spherical vortices," Trans. Am. Math. Soc. 308, 299 (1988).
6. P. H. Roberts, "A Hamiltonian theory for weakly interacting vortices," Mathematika 19, 169 (1972).
7. A. Friedman and B. Turkington, "Vortex rings: Existence and asymptotic estimates," Trans. Am. Math. Soc. 268, 1 (1981).
8. T. B. Benjamin, "The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics," in Applications of Methods of Functional Analysis to Problems in Mechanics (Springer-Verlag, Berlin, 1976), Vol. 503, pp. 8-29.