Three-dimensional destabilization of Stuart vortices: The influence of rotation and ellipticity

Journal of Fluid Mechanics

Volumn 387, Issue , 1999, Pages 205-226

  Potylitsin, P G ^a   Peltier, W R ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

PERTURBATION TECHNIQUES; ROTATION; THREE DIMENSIONAL; VELOCITY;

CORIOLIS FORCE; ELLIPTICITY; STUART VORTICES; THREE DIMENSIONAL DESTABILIZATION;

VORTEX FLOW;

EID: 0032631872     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099004620     Document Type: Article

References (34)

1. BARTELLO, P., METAIS, O. & LESIEUR, M. 1994 Coherent structures in rotating three-dimensional turbulence. J. Fluid Mech. 273, 1-29.
2. BAYLY, B. J. 1986 Three-dimensional instability of elliptical flow. Phys. Rev. Lett. 57, 2160-2163.
3. BAYM, G. 1968 Lectures on Quantum Mechanics. W. A. Benjamin.
4. BERNAL, L. P. & ROSHKO, A. 1986 Streamwise vortex structure in plane mixing layeres. J. Fluid Mech. 170, 499-525.
5. BROWAND, F. K. & HO, C. M. 1983 The mixing layer: an example of quasi two-dimensional turbulence. J. Mec. Theor. Appl. 99-120.
6. CAMBON, C., BENOIT, J.-P., SHAO, L. & JACQUIN, L. 1994 Stability analysis of large eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
7. CARNEVALE, G. F., BRISCOLINI, M., KLOOSTERZIEL, R. C. & VALLIS, G. K. 1997 Three-dimensionally perturbed vortex tubes in a rotating flow. J. Fluid Mech. 341, 127-163.
8. CAULFIELD, C. P. & PELTIER, W. R. 1994 Three dimensionalization of the stratified mixing layer. Phys. Fluids 6, 3803-3805.
9. CORCOS, G. M. & LIN, S. J. 1984 The mixing layer: deterministic models of a turbulent flow. Part 2. The origin of the three-dimensional motion. J. Fluid Mech. 139, 67-95.
10. CORCOS, G. M. & SHERMAN, F. S. 1984 The mixing layer: deterministic models of a turbulent flow. Part 1. Introduction and the two-dimensional flow. J. Fluid Mech. 139, 29-65.
11. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
12. ETLING, D. 1990 Mesoscale vortex shedding from large islands: a comparison with laboratory experiments of rotating stratified flows. Metl. Atmos. Phys. 43, 145-151.
13. HOPFINGER, E. J., BROWAND, F. K. & GAGNE, Y. 1982 Turbulence and waves in a rotating tank. J. Fluid Mech. 125, 505-534.
14. KIDA, S. 1981 Motion of an elliptic vortex in a uniform shear flow. J. Phys. Soc. Japan 50, 3517-3520.
15. KLAASSEN, G. P. & PELTIER, W. R. 1985a Evolution of finite amplitude Kelvin-Helmholtz billows in two spatial dimensions. J. Atmos. Sci. 42, 1321-1339.
16. KLAASSEN, G. P. & PELTIER, W. R. 1985b The onset of turbulence in finite-amplitude Kelvin-Helmholtz billows. J. Fluid Mech. 155, 1-35.
17. KLAASSEN, G. P. & PELTIER, W. R. 1989 The role of transverse secondary instabilities in the evolution of the shear layers. J. Fluid Mech. 202, 367-402.
18. KLAASSEN, G. P. & PELTIER, W. R. 1991 The influence of stratification on secondary instability in free shear layers. J. Fluid Mech. 227, 71-106.
19. KLOOSTERZIEL, R. C. & HEIJST, G. J. F. VAN 1991 An experimental study of unstable barotropic vortices in a rotating fluid. J. Fluid Mech. 223, 1-24.
20. LASHERAS, J. C., CHO, J. S. & MAXWORTHY, T. 1986 On the origin and evolution of streamwise vortical structures in a plane, free shear layer. J. Fluid Mech. 172, 231-258.
21. LASHERAS, J. C. & CHOI, H. 1988 Three-dimensional instability of a plane free shear layer: an experimental study of the formation and evolution of streamwise vortices. J. Fluid Mech. 189, 53-86.
22. LEBLANC, S. & CAMBON, C. 1998 Effects of the Coriolis force on the stability of Stuart's vortices. J. Fluid Mech. 356, 353-379.
23. NYGAARD, K. J. & GLEZER, A. 1991 Evolution of streamwise vortices and generation of small-scale motions in a plane mixing layer. J. Fluid Mech. 231, 257-301.
24. PIERREHUMBERT, R. T. 1986 Universal short-wave instability of two-dimensional eddies in an inviscid fluid. Phys. Rev. Lett. 57, 2157.
25. PIERREHUMBERT, R. T. & WIDNALL, S. E. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 59-82.
26. POTYLITSIN, P. G. & PELTIER, W. R. 1998 Stratification effects on the stability of columnar vortices on the f-plane. J. Fluid Mech. 355, 45-79.
27. SCHOWALTER, D. G., VAN ATTA, C. W. & LASHERAS, J. C. 1994 A study of streamwise vortex structures in a stratified shear layer. J. Fluid Mech. 281, 247-291.
28. SMYTH, W. D. & PELTIER, W. R. 1989 The transition between Kelvin-Helmholtz and Holmboe instability: an investigation of the overreflection hypothesis. J. Atmos Sci. 46, 3698-3720.
29. SMYTH, W. D. & PELTIER, W. R. 1991 Instability and transition in finite-amplitude Kelvin-Helmholtz and Holmboe waves. J. Fluid Mech. 228, 387-415.
30. SMYTH, W. D. & PELTIER, W. R. 1994 Three-dimensionalization of barotropic vortices on the f-plane. J. Fluid Mech. 265, 25-64.
31. STUART, J. T. 1967 On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29, 417-440.
32. WALEFFE, F. 1990 On the three-dimensional instability of strained vortices. Phys. Fluids A 2, 76-80.
33. WINANT, C. D. & BROWAND, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing layer growth at moderate Reynolds numbers. J. Fluid Mech. 63, 237-255.
34. WYGNANSKI, I., OSTER, D., FIEDLER, H. & DZIOMBA, B. 1979 On the perseverance of quasi-two-dimensional eddy structures in a turbulent mixing layer. J. Fluid Mech. 93, 325-335.