Vortex-induced vibrations of a sphere

Journal of Fluid Mechanics

Volumn 531, Issue , 2005, Pages 11-47

  Govardhan, R N ^a   Williamson, C H K ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b Cornell University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DATA REDUCTION; ENERGY TRANSFER; NATURAL FREQUENCIES; OSCILLATIONS;

MASS-DAMPING; OSCILLATION FREQUENCY; VORTEX SHEDDING FREQUENCIES; VORTEX-INDUCED VIBRATIONS;

VORTEX FLOW;

FLUID MECHANICS;

EID: 20644440185     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005003757     Document Type: Article

References (58)

1. Anagnostopoulos, P. (Ed.) 2002 Flow-Induced Vibrations in Engineering Practice. WIT Press.
2. Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
3. Bearman, P. W. 1984 Vortex shedding from oscillating bluff bodies. Annu. Rev. Fluid Mech. 16, 195-222.
4. Bearman, P. W. & Currie, I. G. 1979 Pressure-fluctuation measurements on an oscillating circular cylinder. J. Fluid Mech. 91, 661-677.
5. Blevins, R. D. 1990 Flow-Induced Vibrations. Van Nostrand Reinhold.
6. Brücker, C. 1999 Structure and dynamics of the wake of bubbles and its relevance for bubble interaction. Phys. Fluids 11, 1781-1796.
7. Brücker, C. 2001 Spatio-temporal reconstruction of vortex dynamics in axisymmetric wakes. J. Fluids Struct. 15, 543-554.
8. Carberry, J., Govardhan, R., Sheridan, J., Rockwell, D. & Williamson, C. H. K. 2003a Wake states and response branches of forced and freely oscillating cylinders. Eur. J. Mech. B 23, 89-97.
9. Carberry, J., Ryan, K. & Sheridan, J. 2003b Experimental study of a tethered cylinder in a free stream. Proc. IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid-Structure Interactions Using Analysis, Computations, and Experiments, 1-6 June, New Brunswick, New Jersey, USA (ed. H, Benaroya & T. Wei). Kluwer.
10. Carpenter, E. B., Leonard, J. W. & Yim S, C. S. 1995 Experimental and numerical investigations of tethered spar and sphere buoys in irregular waves. Ocean Engng 22, 765-784.
11. Feng, C. C. 1968 The measurements of vortex-induced effects in flow past a stationary and oscillating circular and D-section cylinders. Master's thesis, University of British Columbia, Vancouver, B, C., Canada.
12. Flemming, F. & Williamson, C. H. K. 2005 Vortex-induced vibrations of a pivoted cylinder. J. Fluid Mech. 522, 215-252.
13. Gharib, M. R., Leonard, A,, Gharib, M. & Roshko, A. 1998 The absence of lock-in and the role of mass ratio. In Proce, Conference on Bluff Body Wakes and Vortex-Induced Vibrations, Washington, DC (ed. P. W. Bearman & C, H, K, Williamson), Paper Number 24; also Paper FEDSM98-5312 in CD-ROM from ASME.
14. Govardhan, R. & Williamson, C. H. K. 1997 Vortex induced motions of a tethered sphere, J. Wind Engng Ind. Aerodyn. 69-71, 375-385.
15. Govardhan, R, & Williamson, C. H. K. 2000 Modes of vortex formation and frequency response of a freely vibrating cylinder. J. Fluid Mech, 420, 85-130.
16. Govardhan, R. & Williamson, C. H. K. 2002 Resonance forever: existence of a critical mass and an infinite regime of resonance in vortex-induced vibration, J. Fluid Mech. 473, 147-166.
17. Griffin, O. M. & Ramberg, S. E. 1982 Some recent studies of vortex shedding with application to marine tubulars and risers. ASME J. Energy Resour. Tech. 104, 2-13.
18. Griffin, O. M., Vandiver, J. K., Skop, R. A. & Meggitt, D. J. 1982 The strumming vibrations of marine cables. Ocean Sci. Engng 7, 461-498.
19. Gu, W., Chyu, C. & Rockwell, D. 1994 Timing of vortex formation from an oscillating cylinder. Phys. Fluids 6, 3677-3682.
20. Harleman, D. R. F. & Shapiro, W. C. 1961 The dynamics of a submerged moor sphere in oscillatory waves. Coastal Engng 2, 746-765.
21. Horowitz, M. & Williamson, C. H. K. 2005 Vibrations of rising and falling spheres. J. Fluid Mech. In preparation.
22. Jauvtis, N., Govardhan, R. & Williamson, C. H. K. 2001 Multiple modes of vortex-induced vibration of a sphere. J. Fluids Struct. 15, 555-563.
23. Jauvtis, N. & Williamson, C. H. K. 2003 Vortex-induced vibration of a cylinder with two degrees of freedom. J. Fluids Struct. 17, 1035-1042.
24. Jauvtis, N. & Williamson, C. H. K. 2004 The effect of two degrees of freedom on vortex-induced vibration at low mass and damping. J. Fluid Mech. 509, 23-62.
25. Jeon, D. & Gharib, M. 2001 On circular cylinders undergoing two-degree-of-freedom forced motions. J. Fluids Struct. 15, 533-541.
26. Johnson, T. A. & Patel, V. C. 1999 Flow past a sphere upto a Reynolds number of 300. J. Fluid Mech. 378, 19-70.
27. Khalak, A. & Williamson, C. H. K. 1996 Dynamics of a hydroelastic cylinder with very low mass and damping. J. Fluids Struct. 10, 455-472.
28. Khalak, A. & Williamson C. H. K. 1997 Fluid forces and dynamics of a hydroelastic structure with very low mass and damping. J. Fluids Struct. 11, 973-982.
29. Khalak, A. & Williamson, C. H. K. 1999 Motions, forces and mode transitions in vortex-induced vibrations at low mass-damping. J. Fluids Struct. 13, 813-851.
30. Koopmann, G. H. 1967 The vortex wakes of vibrating cylinders at low Reynolds numbers. J. Fluid Mech. 8, 501-512.
31. Lamb, H. 1932 Hydrodynamics. Dover.
32. Leweke, T., Provansal, M., Ormières, D. & Lebescond, R. 1999 Vortex dynamics in the wake of a sphere. Phys. Fluids 11, S12.
33. Leweke, T. & Williamson, C. H. K. 2004 Long-wavelength instability and reconnection of a vortex pair. J. Fluid Mech. (submitted).
34. Lighthill, J. 1986 Wave loading on offshore structures. J. Fluid Mech. 173, 667-681.
35. Lin, J. C. & Rockwell, D. 1996 Force identification by vorticity fields: Techniques based on flow imaging. J. Fluids Struct. 10, 663-668.
36. Magarvey, R. H. & Bishop, R. L. 1961 Transition ranges for three-dimensional wakes. Can. J. Phys. 39, 1418-1422.
37. Milne-Thomson, L. M. 1973 Theoretical Aerodynamics. Dover.
38. Mittal, R. 1999 A Fourier-Chebyshev spectral collocation method for simulating flow past spheres and spheroids, Intl J. Numer. Meth. Fluids 30, 921-937.
39. Moe, G. & Wu, Z.-J. 1990 The lift force on a cylinder vibrating in a current. ASME J. Offshore Mech. Arctic Engng 112, 297-303.
40. Moreau, J. J. 1952 Bilan dynamique d'un écoulement rotationnel. J. Math. Pure Appl. 31, 355-375.
41. Naudascher, E. & Rockwell, D. 1994 Flow-Induced Vibrations: An Engineering Guide. Balkema.
42. Ogihara, K. 1980 Theoretical analysis on the transverse motion of a buoy by a surface wave. Appl. Ocean Res. 2, 51-56.
43. Ormières, D. & Provansal, M. 1999 Transition to turbulence in the wake of a sphere. Phy. Rev. Lett. 83, 80-83.
44. Parkinson, G. 1989 Phenomena and modelling of flow-induced vibrations of bluff bodies. Prog. in Aerospace Sci. 26, 169-224.
45. Perry, A. E., Lim, T. T. & Chong, M. S. 1980 The instantaneous velocity fields of coherent structures in coflowing jets and wakes. J. Fluid Mech. 101, 243-256.
46. Provansal, M., Schouveiler, L. & Leweke, T. 1999 From the double vortex street behind a cylinder to the wake of a sphere. Eur. J. Mech. B Fluids 23, 6580.
47. Saffman, P. G. 1992 Vortex Dynamics. Cambridge University Press.
48. Sakamoto, H. & Haniu, H. 1990 A study on vortex shedding from spheres in a uniform flow. ASME J. Fluids Engng 112, 386-392.
49. Sarpkaya, T. 1979 Vortex-induced oscillations. ASME J. Appl. Mech. 46, 241-258.
50. Sarpkaya, T. 1995 Hydrodynamic damping, flow-induced oscillations, and biharmonic response. ASME J. Offshore Mech. Arctic Engng 117, 232-238.
51. Shi-Igai, H. & Kono, T. 1969 Study on vibration of submerged spheres caused by surface waves. Coastal Engng Japan 12, 29-40.
52. Stanton, T. E. & Marshall, D. 1930 On the eddy system in the wake of flat circular plates in three dimensional flow. ARC R & M 1358.
53. Sumer, B. M. & Fredsøe, J. 1997 Hydrodynamics around Cylindrical Structures. World Scientific.
54. Tomboulides, A. G., Orszag, S. A. & Karniadakis, G. E. 1993 Direct and large-eddy simulations of axisymmetric wakes. AIAA Paper 93-0546.
55. Vethamony, P., Chandramohan, P. & Sastry, J. S. 1992 Estimation of added-mass and damping coefficients of a tethered spherical float using potential flow theory. Ocean Engng 19, 427-436.
56. Williamson, C. H. K. & Govardhan, R. 1997 Dynamics and forcing of a tethered sphere in a fluid flow. J. Fluids Struct 11, 293-305.
57. Williamson, C. H. K. & Govardhan, R. 2004 Vortex-induced vibrations. Annu. Rev. Fluid Mech. 36, 413-455.
58. Williamson, C. H. K. & Roshko, A. 1988 Vortex formation in the wake of an oscillating cylinder. J. Fluids Struct. 2, 355-381.