Dynamics of thin vortex rings

Journal of Fluid Mechanics

Volumn 609, Issue , 2008, Pages 319-347

  Sullivan, Ian S ^a   Niemela, Joseph J ^a   Hershberger, Robert E ^a   Bolster, Diogo ^a   Donnelly, Russell J ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

RINGS (COMPONENTS);

CORE SIZE; DIRECT MEASUREMENT; INVISCID FLUIDS; THIN CORES; THIN VORTEX; TRADITIONAL EQUATIONS; VISCOUS FLUIDS; VORTEX RINGS;

VORTEX FLOW;

EXPERIMENTAL STUDY; FLUID MECHANICS; NUMERICAL METHOD; SIZE DISTRIBUTION; THEORETICAL STUDY; VISCOUS FLOW; VORTEX FLOW;

EID: 48849087459     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008002292     Document Type: Article

References (40)

1. AUERBACH, D. 1988 Some open questions on the flow of circular vortex rings. Fluid Dyn. Res. 2, 209-213.
2. BAIRD, M. H. I., WAIREGI, T. & Loo, H. J. 1977 Velocity and momentum of vortex rings in relation to formation parameters. Can. J. Chem. Engng 55, 19-26.
3. BAKER, D. J. 1966 A technique for the precise measurement of small fluid velocities. J. Fluid Mech. 26, 573-575.
4. BARENGHI, C. F., DONNELLY, R. J. & VINEN, W. F. 1983 Friction on quantized vortices in helium II. J. Low Temp. Phys. 52, 189-247.
5. BARENGHI, C. F., HÄNNINEN, R. & TSUBOTA, M. 2006 Anomalous translational velocity of a vortex ring with finite-amplitude Kelvin waves. Phys. Rev. E 74, 046303.
6. DABIRI, J. O. & GHARIB, M. 2004 Fluid entrainment by isolated vortex rings. J. Fluid Mech. 511, 311-331.
7. DIDDEN, N. 1979 On the formation of vortex rings: Rolling-up and production of circulation. J. Appl. Maths Phys. 30, 101-116.
8. DONNELLY, R. J. 1991 Quantized Vortices in Helium II. Cambridge University Press.
9. FETTER, A. L. & DONNELLY, R. J. 1966 On the equivalence of vortices and current filaments. Phys. Fluids 9, 619-620.
10. FRAENKEL, L. E. 1972 Examples of steady vortex rings of small cross-section in an ideal fluid. J. Fluid Mech. 51, 119-135.
11. FUKUMOTO, Y. & MOFFATT, H. K. 2000 Motion and expansion of a viscous vortex ring. J. Fluid Mech. 417, 1-45.
12. GAUTHIER, G., GONDORET, P. & RABAUD, M. 1998 Motion of anisotropic particles: Application to visualization of three dimensional flows. Phys. Fluids 10, 2147-2154.
13. GHARIB, M., RAMBOD, E. & SHARIFF, K. 1998 A universal time scale for vortex ring formation. J. Fluid Mech. 360, 121-140.
14. GOLDSTEIN, S. 1938 Modern Developments in Fluid Dynamics, vols. 1 and 2. Oxford University Press.
15. HOLLERBACH, R., WIENER, R. J., SULLIVAN, I. S. & DONNELLY, R. J. 2002 The flow about a torsionally oscillating sphere. Phys. Fluids 14, 4192-4205.
16. KIKNADZE, L. & MAMALADZE, Y. 2002 The waves on the vortex ring in H II. J. Low Temp. Phys. 126, 321-326.
17. KRUEGER, P. S. 2005 An over-pressure correction to the slug model for vortex ring circulation. J. Fluid Mech. 545, 427-443.
18. KRUTZSCH, C. H. 1939 Uber eine experimentell beobachtete erscheinung an wirbelringen bei ihrer translatorischen bewegung in wirklichen flussigkeiten. Annln Phys. 35, 497-523.
19. LAMB, H. 1945 Hydrodynamics. Dover.
20. LIM, T. T. & NICKELS, T. B. 1995 Vortex rings. In Fluid Vortices (ed. S. I. Green). Kluwer.
21. LOITSYANSKII, L. G. 1966 Mechanics of Liquids and Gases. Pergamon.
22. MATISSE, P. & GORMAN, M. 1984 Neutrally bouyant anisotropic particles for flow visualization. Phys. Fluids 27, 759-760.
23. MAXWORTHY, T. 1972 The structure and stability of vortex rings. J. Fluid Mech. 51, 15-32.
24. MAXWORTHY, T. 1974 Turbulent vortex rings. J. Fluid Mech. 64, 227-239.
25. MAZO, R. M., HERSHBERGER, R. E. & DONNELLY, R. J. 2008 Observations of flow patterns by electrochemical means. Exps. Fluids 44, 49-57.
26. PARK, K., BARENGHI, C. F. & DONNELLY, R. J. 1980 Subharmonic destabilization of Taylor vortices near an oscillating cylinder. Phys. Lett. 78A, 152-154.
27. RAYFIELD, G. & REIF, F. 1964 Quantized vortex rings in superfluid helium. Phys. Rev. 136, A1194-1208.
28. REYNOLDS, O. 1876 On the resistance encountered by vortex rings, and the relation between the vortex rings and streamlines of a disk. Nature 14, 477-579.
29. ROBERTS, P. H. & DONNELLY, R. J. 1970 Dynamics of vortex rings. Phys. Lett. 31A, 137-138.
30. ROBERTS, P. H. & GRANT, J. 1971 Motions in a bose condensate I. the structure of the large circular vortex. J. Phys. A4, 55-72.
31. ROGERS, W. B. 1858 On the formation of rotating rings by air and liquids under certain conditions of discharge. Am. J. Sci. (ser. 2) 26, 246-268.
32. SAFFMAN, P. G. 1970 The velocity of viscous vortex rings. Stud. Appl. Maths. 49, 371-380.
33. SAFFMAN, P. G. 1978 The number of waves on unstable vortex rings. J. Fluid Mech. 84, 625-639.
34. SAFFMAN, P. G. 1981 Dynamics of vorticity. J. Fluid Mech. 106, 49-58.
35. SAVAS, O. 1985 On flow visualization using reflective flakes. J. Fluid Mech. 152, 235-248.
36. SCASE, M. M. & DALZIEL, S. B. 2006 An experimental study of the bulk properties of vortex rings translating through a stratified fluid. Euro. J. Fluid Mech. 25, 302-320.
37. SHARIFF, K. & LEONARD, A. 1992 Vortex rings. Annu. Rev. Fluid Mech. 24, 235-279.
38. SHUSSER, M. & GHARIB, M. 2000 Energe and velocity of a forming vortex ring. Phys. Fluids 12, 618-621.
39. STANAWAY, S. K., CANTWELL, B. J. & SPALART, P. R. 1988 Navier Stokes simulations of axisymmetric vortex rings. In AIAA 26th Aerospace Sciences Meeting, Reno, Nevada pp. 1-14.
40. WEIGAND, A. & GHARIB, M. 1997 On the evolution of laminar vortex rings. Exps. Fluids 22, 447-457.