Three-dimensional wake transition

Journal of Fluid Mechanics

Volumn 328, Issue , 1996, Pages 345-407

  Williamson, C H K ^a  

^a Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERNS; REYNOLDS NUMBER; SHEAR DEFORMATION; TRANSITION FLOW; VISCOUS FLOW; VORTEX FLOW;

REYNOLDS STRESSES; STROUHAL FREQUENCY; WAKE TRANSITION;

WAKES;

BODIES-CYLINDERS; TRANSITION FLOW; VORTEX FLOW; WAKES;

EID: 0030426191     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096008750     Document Type: Article

References (87)

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. BAYLY, B. J. 1986 Three-dimensional instability of elliptical flow. Phys. Rev. Lett. 57, 2160.
3. BAYS-MUCHMORE, B. & AHMED, A. 1993 On streamwise vortices in turbulent wakes of cylinders. Phys. Fluids A 5, 387.
4. BELL, J. A. & MEHTA, R. D. 1989 Three-dimensional structure of a plane mixing layer. AIAA Paper 89-0124.
5. BERNAL, L. P. & ROSHKO, A. 1986 Streamwise vortex structure in plane mixing layers. J. Fluid Mech. 170, 499.
6. BLOOR, M. S. 1964 The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290.
7. BRAZA, M. 1994 Transition features in wake flows by means of numerical analysis. Current Topics in the Physics of Fluids, 1, 391.
8. BRAZA, M., CHASSAING, P. & HA MINH, H. 1990 Prediction of large-scale transition features in the wake of a circular cylinder. Phys. Fluids A 2, 1461.
9. BREDE, M., ECKELMANN, H. & ROCKWELL, D. 1996 On secondary vortices in the cylinder wake. Phys. Fluids (submitted).
10. BROWN, G. L. & ROSHKO, A. 1974 On density effects and large structures in turbulent mixing layers. J. Fluid Mech. 64, 775.
11. BROWAND, F. K. & PROST-DOMASKY, S. A. 1990 Experiment on pattern evolution in the 2-D mixing layer. In New Trends in Nonlinear Dynamics and Pattern Forming Phenomena (ed. P. Coullet & P. Huerre). NATO ASI Series 8. Plenum.
12. CANTWELL, B. & COLES, D. 1983 An experimental study of entrainment and transport in the turbulent near-wake of a circular cylinder. J. Fluid Mech. 136, 321.
13. CHYU, C. & ROCKWELL, D. O. 1996 Evolution patterns of streamwise vorticity in the turbulent near wake of a cylinder. J. Fluid Mech. 320, 117.
14. CORCOS, G. M. & LIN, S. J. 1984 The mixing layer: deterministic models of turbulent flow. Part 2. The origin of three-dimensional motion. J. Fluid Mech. 139, 67.
15. CORKE, T., KOGA, D., DRUBKA, R. & NAGIB, H. 1977 A new technique for introducing controlled sheets of streaklines in wind tunnels. IEEE Publication 77-CH 1251-8 AES.
16. CRAIK, A. D. D. & CRIMINALE, W. O. 1986 Evolution of wavelike disturbances in shear flows: A class of exact solutions of the Navier-Stokes equations. Proc. R. Soc. Lond. A 406, 13.
17. EISENLOHR, H. & ECKELMANN, H. 1989 Vortex splitting and its consequences in the vortex street wake of cylinders at low Reynolds number. Phys. Fluids A 1, 189.
18. GERICH, D. & ECKELMANN, H. 1982 Influence of end plates and free ends on the shedding frequency of circular cylinders. J. Fluid Mech. 122, 109.
19. GERRARD, J. H. 1978 The wakes of cylindrical bluff bodies at low Reynolds number. Phil. Trans. R. Soc. Lond. A 288, 351.
20. HAMA, F. R. 1957 Three-dimensional vortex pattern behind a circular cylinder. J. Aeronaut. Sci. 24, 156.
21. HAMA, F. R. 1963 Progressive deformation of a perturbed line vortex filament. Phys. Fluids 6, 526.
22. HAMMACHE, M. & GHARIB, M. 1989 A novel method to promote parallel shedding in the wake of circular cylinders. Phys. Fluids A 1, 1611.
23. HAMMACHE, M. & GHARIB, M. 1991 An experimental study of the parallel and oblique vortex shedding from circular cylinders. J. Fluid Mech. 232, 567.
24. HENDERSON, R. D. 1994 Unstructured spectral element methods: Parallel algorithms and simulations. PhD. thesis, Princeton University.
25. HENDERSON, R. D. 1995 Details of the drag curve near the onset of vortex shedding. Phys. Fluids 7, 2102.
26. HENDERSON, R. D. & BARKLEY, D. 1996 Secondary instability in the wake of a circular cylinder. Phys. Fluids 8, 1683.
27. Ho, C.-M. & HUERRE, P. 1984 Perturbed free shear layers. Ann. Rev. Fluid Mech. 16, 365.
28. HUANG, L.-S. & Ho, C.-M. 1990 Small-scale transition in a plane mixing layer. J. Fluid Mech. 210, 475.
29. HUERRE, P. & ROSSI, M. 1996 Hydrodynamic Instabilities in Open Flows. Cambridge University Press.
30. KARNIADAKIS, G. E. & TRIANTAFYLLOU, G. S. 1989 Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech. 199, 441.
31. KARNIADAKIS, G. E. & TRIANTAFYLLOU, G. S. 1992 Three-dimensional dynamics and transition to turbulence in the wake of bluff objects. J. Fluid Mech. 238, 1.
32. KELVIN, LORD 1880 Vibrations of a columnar vortex. Phil. Mag., X, 155.
33. KOENIG, M., EISENLOHR, H. & ECKELMANN, H. 1990 The fine structure in the S-Re relationship of the laminar wake of a circular cylinder. Phys. Fluids A 2, 1607.
34. KOENIG, M., EISENLOHR, H. & ECKELMANN, H. 1992 Visualisation of the spanwise cellular structure of the laminar wake of wall-bounded circular cylinders. Phys. Fluids, A 4, 869.
35. KOURTA, A., BOISSON, H. C., CHASSAING, P. & HA MINH, H. 1987 Nonlinear interaction and the transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 181, 141.
36. LAGNADO, R. R., PHAN-TIEN, N. & LEAL, L. G. 1984 The stability of two-dimensional linear flows. Phys. Fluids 27, 1094.
37. LANDMAN, M. J. & SAFFMAN, P. G. 1987 The three-dimensional instability of strained vortices in a viscous fluid. Phys. Fluids 30, 2339.
38. 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.
39. LASHERAS, J. C. & MEIBURG, E. 1990 Three-dimensional vorticity modes in the wake of a flat plate. Phys. Fluids A 2, 371.
40. LEWEKE, T. & PROVANSAL, M. 1995 The flow behind rings: bluff body wakes without end effects. J. Fluid Mech. 288, 265.
41. LEWEKE, T. & WILLIAMSON, C. H. K. 1996a Elliptic instability and three-dimensional transition in bluff body wakes. Phys. Fluids (submitted).
42. LEWEKE, T. & WILLIAMSON, C. H. K. 1996b Short wave instability of a vortex pair. J. Fluid Mech. (submitted).
43. LIN, J.-C., TOWFIGHI, J. & ROCKWELL, D. 1995a Instantaneous structure of near-wake of a cylinder: on the effect of Reynolds number. J. Fluids Struct. 9, 409.
44. LIN, J.-C, VOROBIEFF, P. & ROCKWELL, D. 1995b Three-dimensional patterns of streamwise vorticity in the turbulent near-wake of a cylinder. J. Fluids Struct. 9, 231.
45. MANSY, H., YANG, P. & WILLIAMS, D. R. 1994 Quantitative measurements of spanwise-periodic three-dimensional structures in the wake of a circular cylinder. J. Fluid Mech. 270, 277.
46. MARTIN, J. E. & MEIBURG, E. 1991 Numerical investigation of three-dimensionally evolving jets subject to axisymmetric and azimuthal perturbations. J. Fluid Mech. 230, 271.
47. MEIBURG, E. & LASHERAS, J. C. 1988 Experimental and numerical investigation of the three-dimensional transition in plane wakes. J. Fluid Mech. 190, 1.
48. MILLER, G. D. & WILLIAMSON, C. H. K. 1994 Control of three-dimensional phase dynamics in a cylinder wake. Exp. Fluids 18, 26.
49. MITTAL, R. & BALACHANDAR, S. 1995a Vortical structures in bluff body wakes. AIAA 33rd Aerospace Sciences Meeting, Jan 9-72, Reno, Nevada, Paper 95-0867.
50. MITTAL, R. & BALACHANDAR, S. 1995b Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinder. Phys. Fluids 7, 1841.
51. MITTAL, R. & BALACHANDAR, S. 1995c Generation of streamwise vortical structures in bluff-body wakes. Phys. Rev. Lett. 75, 1300.
52. MITTAL, R. & BALACHANDAR, S. 1996 Auto-generation of three-dimensional vortical structure in the near-wake of a circular cylinder. J. Fluid Mech. (submitted).
53. MONKEWITZ, P. A., WILLIAMSON, C. H. K. & MILLER, G. D. 1996 Phase dynamics of Kármán vortices in cylinder wakes. Phys. Fluids 8, 91.
54. NOACK, B. N. & ECKELMANN, H. 1994 A global stability analysis of the steady and periodic cylinder wake. J. Fluid Mech. 270, 297.
55. NORBERG, C. 1994 An experimental investigation of the flow around a circular cylinder: influence of aspect ratio. J. Fluid Mech. 258, 287.
56. NYGAARD, K. J. & GLEZER, A. 1990 Core instability of the spanwise vortices in a plane mixing layer. Phys. Fluids. A 2, 461.
57. PERSILLON, H. & BRAZA, M. 1996 Three-dimensional transition to turbulence in the cylinder wake by direct numerical simulation. J. Fluid Mech. (submitted).
58. PIERREHUMBERT, R. 1986 A universal short wave instability of two-dimensional eddies in an inviscid fluid. Phys. Rev. Lett. 57, 2157.
59. PIERREHUMBERT, R. & WIDNALL, S. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer. J. Fluid Mech. 114, 59.
60. PRASAD, A. & WILLIAMSON, C. H. K. 1997 The instability of the separated shear layer from a bluff body. Phys. Fluids 8, 1347.
61. PRASAD, A. & WILLIAMSON, C. H. K. 1997a The instability of the shear layer separating from a bluff body. J. Fluid Mech. (In press).
62. PRASAD, A. & WILLIAMSON, C. H. K. 1997b Three-dimensional effects on turbulent bluff body wakes at moderate Reynolds numbers. J. Fluid Mech. (submitted).
63. ROGERS, M. M. & MOSER, R. D. 1992 The three-dimensional evolution of a plane mixing layer: the Kelvin-Helmholtz rollup. J. Fluid Mech. 243, 183.
64. ROSHKO, A. 1954 On the development of turbulent wakes from vortex streets. NACA Rep. 1191.
65. ROSHKO, A. 1993 Perspectives on bluff body aerodynamics. J. Wind Engng Indust. Aerodyn 49, 79.
66. SHARIFF, K., PULLIAM, T. H. & OTTINO, J. M. 1991 A dynamical systems analysis of kinematics in the time-periodic wake of a circular cylinder. In Vortex Dynamics and Vortex Methods (ed. C. R. Anderson & C. Greengard), p. 613. American Math. Soc.
67. STUART, J, T. 1967 On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29, 417.
68. THOMANN, H. 1959 Measurements of the recovery temperature in the wake of a cylinder and of a wedge at Mach numbers between 0.5 and 3. Aero Research Inst. Sweden (FFA) Rep. 84.
69. THOMPSON, M., HOURIGAN, K. & SHERIDAN, J. 1994 Three-dimensional instabilities in the cylinder wake, Intl Colloq. on Jets, Wakes and Shear Layers, Melbourne, 18-20 April, 1994.
70. THOMPSON, M., HOURIGAN, K. & SHERIDAN, J. 1966 Three-dimensional instabilities in the wake of a circular cylinder. Exp. Thermal Fluid Sci. 12, 190.
71. TRITTON, D. J. 1959 Experiments on the flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 6, 547.
72. TRITTON, D. J. 1988 Physical Fluid Dynamics, 2nd Edn. Clarendon.
73. WALEFFE, F. 1990 On the three-dimensional instability of strained vortices. Phys. Fluids A 2, 76.
74. WEI, T. & SMITH, C. R. 1986 Secondary vortices in the wake of cylinders. J. Fluid Mech.169, 513.
75. WILLIAMSON, C. H. K. 1987 Three-dimensional transition in the near wake of a cylinder. Bull. Am. Phys. Soc. 32, 2098.
76. WILLIAMSON, C. H. K. 1988a Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys. Fluids 31, 2742.
77. WILLIAMSON, C. H. K. 1988b The existence of two stages in the transition to three-dimensionality of a cylinder wake. Phys. Fluids 31, 3165.
78. 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.
79. WILLIAMSON, C. H. K. 1992 The natural and forced formation of spot-like 'vortex dislocations' in the transition of a wake. J. Fluid Mech. 243, 393.
80. WILLIAMSON, C. H. K. 1996a Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28, 477.
81. WILLIAMSON, C. H. K. 1996b Mode A secondary instability in wake transition. Phys. Fluids 8, 1680.
82. WILLIAMSON, C. H. K. & ROSHKO, A. 1990 Measurements of base pressure in the wake of a cylinder at low Reynolds numbers. Z. Flugwiss Weltraumforsch. 14, 38-46.
83. WILLIAMSON, C. H. K., WU, J. & SHERIDAN, J. 1995 Scaling of streamwise vortices in wakes. Phys. Fluids 7, 2307.
84. WU, J., SHERIDAN, J., SORIA, J. & WELSH, M. C. 1995 Longitudinal vortex structures in a cylinder wake. J. Fluids Struct, (submitted).
85. WU, J., SHERIDAN, J., WELSH, M. C., HOURIGAN, K. & THOMPSON, M. 1994 Longitudinal vortex structures in a cylinder wake. Phys. Fluids 6, 2883.
86. YANG, P., MANSY, H. & WILLIAMS, D. R. 1993 Oblique and parallel wave interaction in the near wake of a circular cylinder. Phys. Fluids A 5, 1657.
87. ZHANG, H., FEY, U., NOACK, B. R., KOENIG, M. & ECKELMANN, H. 1995 On the transition of the cylinder wake. Phys. Fluids 7, 1.