Kelvin twist waves in the transition to turbulence

European Journal of Mechanics, B/Fluids

Volumn 17, Issue 4, 1998, Pages 595-604

  Arendt, Steve ^a   Fritts, David C ^a   Andreassen, Øyvind ^b  

^a Colorado Research Associates/NWRA ^*  (United States)

^b NORWEGIAN DEFENCE RESEARCH ESTABLISHMENT FFI   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003343405     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0997-7546(98)80014-9     Document Type: Article

References (26)

1. ACARLAR M. S., SMITH C. R., 1987, A study of hairpin vortices in a laminar boundary layer. Part II: Hairpin vortices generated by fluid injection, J. Fluid Mech., 175, 43-83.
2. ANDREASSEN Ø., HVIDTEN P. Ø., FRITTS D. C., ARENDT S., 1998, Vorticity dynamics in a breaking gravity wave 1: Initial instability evolution, J. Fluid Mech., accepted.
3. ARENDT S., FRIITS D. C., ANDREASSEN Ø., 1997, The initial value problem for Kelvin vortex waves, J. Fluid Mech., 344, 181-212.
4. ARENDT S., FRITTS D. C., 1997, The instability of a vortex tube in a weak external shear and strain, Phys. Fluids A, 10, 530-532.
5. CADOT O., DOUADY S., COUDER Y., 1995, Characterization of the low-pressure filaments in a three-dimensional turbulent shear flow, Phys. Fluids A, 7, 630.
6. FRITTS D. C., ISLER J., ANDREASSEN Ø., 1994, Gravity wave breaking in two and three dimensions 2. Three-dimensional evolution and instability structure, J. Geophys. Res., 99, 8109-8123.
7. FRITTS D. C., ARENDT S., ANDREASSEN Ø., 1998, Vorticity dynamics in a breaking gravity wave 2: Vortex interactions and transition to turbulence, J. Fluid Mech., accepted.
8. GERZ T., HOWELL J., MAHRT L., 1994, Vortex structures and microfronts, Phys. Fluids A, 6, 1242-1251.
9. HASIMOTO H., 1972, A soliton on a vortex filament, J. Fluid Mech., 51, 477-485.
10. HOPFINGER E. J., BROWAND F. K., GAGNE Y., 1982, Turbulence and waves in a rotating tank, J. Fluid Mech., 125, 505-534.
11. JEONG J., HUSSAIN F., 1995, On the identification of a vortex, J. Fluid Mech., 285, 69-94.
12. LEIBOVICH S., BROWN S. N., PATEL Y., 1986, Bending waves on inviscid columnar vortices, J. Fluid Mech., 595-624.
13. LEIBOVICH S., MA H. Y., 1983, Soliton propagation on vortex cores and the Hasimoto soliton, Phys. Fluids, 26 3173-3179.
14. Lord KELVIN, 1880, Vibrations of a columnar vortex, Phil. Mag., 10, 155.
15. MARSHALL J. S., CHEN H., 1997, Stability of a counter-rotating vortex pair immersed in cross-stream shear flow, AIAA Journal, 35, 295.
16. MAXWORTHY T., HOPFINGER E. J., REDEKOPP L. G., 1985, Wave motions on vortex cores, J. Fluid Mech., 151, 141-165.
17. MELANDER M. V., HUSSAIN F., 1994, Core dynamics on a vortex column, Fluid Dyn. Res., 13, 1-37.
18. MOORE D. W., SAFFMAN P. G., 1972, The motion of a vortex filament with axial flow, Phil. Trans. Royal Soc. A, 272, 403-429.
19. MOORE D. W., SAFFMAN P. G., 1975, The instability of a straight vortex filament in a strain field, Proc. R. Soc. Lond. A, 346, 413-425.
20. ROBINSON S. K., 1991, Coherent motions in the turbulent boundary layer, Annu. Rev. Fluid Mech., 23, 601-639.
21. ROGERS M. M., MOIN P., 1987, The structure of the vorticity field in homogeneous turbulent flows, J. Fluid Mech., 176, 33.
22. SAFFMAN P. G., 1992, Vortex Dynamics, Cambridge University Press.
23. TSAI C.-Y., WIDNALL S. E., 1976, The stability of short waves on a straight vortex filament in a weak externally imposed strain field, J. Fluid Mech., 73, 721-733.
24. VERZICCO R., JIMÉNEZ J., ORLANDI, P., 1995, On steady columnar vortices under local compression, J. FLuid Mech., 299, 367-388.
25. VINCENT A., MENEGUZZI, M., 1991, The spatial structure and statistical properties of homogeneous turbulence, J, Fluid Mech., 225, 1-20.
26. VINCENT A., MENEGUZZI M., 1994, The dynamics of vorticity tubes in homogeneous turbulence, J. Fluid Mech., 258, 245.