Three-dimensional instability and vorticity patterns in the wake of a flat plate

Journal of Fluid Mechanics

Volumn 479, Issue , 2003, Pages 155-189

  Julien, Stephanie ^a,b   Lasheras, Juan ^a   Chomaz, Jean Marc ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; VISUALIZATION; VORTEX FLOW;

LAMINAR BOUNDARY LAYERS;

WAKES;

FLOW PATTERN; INSTABILITY; INTERFACE; MATHEMATICAL ANALYSIS; REYNOLDS NUMBER; THREE-DIMENSIONAL FLOW; VORTEX; WAKE; WAVELENGTH;

EID: 0037466060     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112002003580     Document Type: Article

References (54)

1. BARKLEY, D. & HENDERSON, R. D. 1996 Three-dimensional Floquet stability analysis of the wake of a circular cylinder. J. Fluid Mech. 322, 215.
2. BRANCHER, P. 1996 Numerical and theoretical investigation of jet instabilities. PhD thesis, École Polytechnique.
3. BRAZA, M. 1994 Transition features in wake flows by means of numerical analysis. In Current Topics in the Physics of Fluids (ed. J. Mener), p. 391. Council of Scientific Information, Trivandrum, India.
4. CAULFIELD, C. P. & KERSWELL, R. R. 2000 The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers. Phys. Fluids 12, 1032.
5. CAULFIELD, C. P. & PELTIER, W. R. 2000 The anatomy of the mixing transition in homogeneous and stratified free shear layers, J. Fluid Mech. 413, 1.
6. CIMBALA, J. M., NAGIB, H. M. & ROSHKO, A. 1988 Large structure in the far wakes of two-dimensional bluff bodies. J. Fluid Mech. 190, 265.
7. DELBENDE, I. & CHOMAZ, J.-M. 1998 Nonlinear convective/absolute instabilities of parallel two-dimensional wakes. Phys. Fluids 10, 2724.
8. DRAZIN, P. G. & HOWARD, L. N. 1966 Hydrodynamic stability of parallel flow of inviscid fluid. Adv. Appl. Mech. 9, 1.
9. DRAZIN, P. G. & REID, W. H. 1981 Hydrodynamic Stability, p. 233. Cambridge University Press.
10. EISENLOHR, H. & ECKELMANN, H. 1989 Vortex splitting and its consequences in the vortex street wake of cylinders at low Reynolds numbers. Phys. Fluids A 1, 189.
11. FERRE, J. A. & GIRAULT, F. 1989 Pattern-recognition analysis of the velocity field in plane turbulent wakes. J. Fluid Mech. 198, 27.
12. GASTER, M. 1964 A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability, J. Fluid Mech. 14, 222.
13. GRANT, M. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149.
14. HAMA, R. 1962 Streaklines in a perturbed shear flow. Phys. Fluids 5, 644.
15. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473.
16. JULIEN, S. 2000 Instabilités secondaires dans les sillages plans. PhD thesis, École Polytechnique.
17. JULIEN, S., CHOMAZ, J.-M. & LASHERAS, J. C. 2002 Study of the temporal stability of a row of counter-rotating vortices. Phys. Fluids 14, 732.
18. JULIEN, S., ORTIZ, S. & CHOMAZ, J.-M. 2002 The three-dimensional instabilities in the wake of a flat plate. Phys. Fluids (submitted).
19. KLAASSEN, G. P. & PELTIER, W. R. 1991 The influence of stratification on secondary instability in free shear layers. J. Fluid Mech. 227, 71.
20. KÖNIG, M., EISENLOHR, H. & ECKELMAN, H. 1990 The fine structures in the S-Re relationship of the laminar wake of a circular cylinder. Phys. Fluids A 2, 1607.
21. KÖNIG, M., EISENLOHR, H. & ECKELMAN, H. 1992 Visualisation of the spanwise cellular structure of the laminar wake of wall-bounded circular cylinders. Phys. Fluids A 4, 869.
22. 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.
23. 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.
24. LASHERAS, J. C. & MEIBURG, E. 1990 Three-dimensional vorticity modes in the wake of a flat plate. Phys. Fluids A 5, 371.
25. LEBLANC, S. & CAMBON, C. 1998 Effects of the Coriolis force on the stability of Stuart's vortices. J. Fluid Mech. 356, 353.
26. LEWEKE, T. & WILLIAMSON, C. H. K. 1998 Three-dimensional instabilities in wake transition. Eur. J. Mech. B/Fluids 17, 571.
27. MALLIER, R. & MASLOWE, S. A. 1993 A row of counter-rotating vortices. Phys. Fluids 5, 1074.
28. MARASLI, B., CHAMPAGNE, F. H. & WYGNANSKI, I. J. 1989 Modal decomposition of velocity signals in a plane, turbulent wake. J. Fluid Mech. 198, 255.
29. MEIBURG, E. & LASHERAS, J. C. 1987 Comparison between experiments and numerical simulations of three-dimensional plane wakes. Phys. Fluids 30, 623.
30. MEIBURG, E. & LASHERAS, J. C. 1988 Experimental and numerical investigation of the three-dimensional transition in plane wakes. J. Fluid Mech. 190, 1.
31. MILLER, G. D. & WILLIAMSON, C. H. K. 1994 Control of three-dimensional phase dynamics in a cylinder wake. Exps. Fluids 18, 26.
32. MONKEWITZ, P. A. 1988 A note on vortex shedding from axisymmetric bluff bodies. J. Fluid Mech. 192, 561.
33. MONKEWITZ, P. A., WILLIAMSON, C. H. K. & MILLER, G. D. 1996 Phase dynamics of Kármán vortices in cylinder wakes. Phys. Fluids 8, 91.
34. MUMFORD, J. C. 1983 The structure of the large eddies in fully turbulent shear flows. Part 2. The plane wake. J. Fluid Mech. 137, 447.
35. NOACK, B. N. & ECKELMANN, H. 1994 A global stability analysis of the steady and periodic cylinder wake. J. Fluid Mech. 270, 297.
36. PAYNE, F. & LUMLEY, J. L. 1967 Large eddy structure of the turbulent wake behind a circular cylinder. Phys. Fluids Suppl. S194.
37. PERSILLON, H. & BRAZA, M. 1998 Physical analysis of the transition to turbulence in the wake of a circular cylinder by three-dimensional Navier-Stokes simulation. J. Fluid Mech. 365, 23.
38. PIERREHUMBERT, R. T. & WIDNALL, S. E. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 59.
39. POTYLITSIN, P. G. & PELTIER, W. R. 1999 Three-dimensional destabilization of Stuart vortices: the influence of rotation and ellipticity. J. Fluid Mech. 387, 205.
40. ROBINSON, A. C. & SAFFMAN, P. G 1982 Three-dimensional stability of vortex arrays. J. Fluid Mech. 125, 411.
41. ROBINSON, A. C. & SAFFMAN, P. G. 1984 Three-dimensional stability of an elliptical vortex in a straining field. J. Fluid Mech. 142, 451.
42. ROSHKO, A. 1954 On the development of turbulence wakes from vortex streets. NACA Rep. 1191.
43. SCHLICHTING, H. 1930 Über das ebene Windschattenproblem. Diss. Göttingen 1930. Ing.-Arch. 1, 533.
44. SCHOWALTER, D. G., VAN ATTA, C. W. & LASHERAS, J. C. 1994 A study of streamwise vortex structure in a stratified shear layer. J. Fluid Mech. 281, 247.
45. SUTHERLAND, B. R. & PELTIER, W. R. 1994 Turbulence transition and internal wave generation in density stratified jets. Phys. Fluids 6, 1267.
46. TANEDA, S. 1977 Visual study of unsteady separated flows around bodies. Prog. Aerospace Sci. 17, 287.
47. TOWNSEND, A. A. 1979 Flow patterns of large eddies in a wake and in a boundary layer. J. Fluid Mech. 95, 515.
48. 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.
49. WALEFFE, F. 1990 On the three-dimensional instability of strained vortices. Phys. Fluids A 2, 76.
50. WILLIAMSON, C. H. K. 1988 The existence of two stages in the transition to three-dimensionality of a cylinder wake. Phys. Fluids 31, 3165.
51. WILLIAMSON, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206, 579-627.
52. WILLIAMSON, C. H. K. 1996a Three-dimensional wake transition. J. Fluid Mech. 328, 345.
53. WILLIAMSON, C. H. K. 1996b Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477.
54. WINANT, C. D. & BROWAND, F. K. 1974 Vortex pairing: the dynamics of turbulent mixing layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237.