Benard-von Karman instability: Transient and forced regimes

Journal of Fluid Mechanics

Volumn 182, Issue , 1987, Pages 1-22

  Mathis, C ^b   Boyer, L ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

^b UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS - CYLINDERS; GAS DYNAMICS - STABILITY; WIND TUNNELS;

BENARD-VON KARMAN INSTABILITY;

FLOW OF FLUIDS;

EID: 0023407740     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112087002222     Document Type: Article

References (41)

1. Benard, H. 1908 Formation des centres de giration a Tarriere d'un obstacle en mouvement. C. R. Acad. Sci. Paris 147, 839.
2. Berge, P., Pomeau, Y. Vidal, C. 1984 L'ordre dans le Chaos. Hermann.
3. Berger, E. Wille, R. 1972 Periodic flow phenomena. Ann. Rev. Fluid Mech. 4, 313–340.
4. Bishop, R. Hassan, A. 1964 The lift and drag forces on a circular cylinder in a flowing fluid. Proc. R. Soc. Lond. A 277, 32–50.
5. Blevins, R. D. 1985 The effect of sound on vortex shedding from cylinders. J. Fluid Mech. 161, 217–237.
6. Braza, M. 1981 Simulation numerique du decollement instationnaire externe par une formulation vitesse-pression. Application a l'ecoulement autour d'un cylindre. Thesis, Universite de Toulouse.
7. Coutanceau, M. Bouard, R. 1977 Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. J. Fluid Mech. 79, 237.
8. Drazin, P. G. Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
9. Fornberg, B. 1980 A numerical study of steady viscous flow past a circular cylinder. J. Fluid Mech. 98, 819–855.
10. Gambaudo, J. M. 1983 Perturbation of a Hopf bifurcation by an external time-periodic forcing. Thesis, Universite de Nice.
11. Gaster, M. 1971 Vortex shedding from circular cylinders at low Reynolds numbers. J. Fluid Mech. 46, 565–576.
12. Gollub, J. Freilich, M. 1981 Critical exponents and generalized potential for the Taylor instability. In Fluctuations, Instabilities and Phase Transitions (ed. T. Riste), pp. 195–203. NATO Report.
13. Haldenwang, P. Labrosse, G. 1986 2D and 3D spectral Chebyshev solutions for free convection at high Rayleigh number. Proc. Sixth Intl Symp. on Finite element methods in flow problems, Antibes, pp. 261–267.
14. Hussain, A. K. M. F. Ramjee, V. 1976 Periodic wake behind a circular cylinder at low Reynolds numbers. Aero. Q. May 123–141.
15. Jackson, C. P. 1987 A finite element study of the onset of vortex-shedding past variously shaped bodies. J. Fluid Mech. 182, 23–45.
16. Joseph, D. D. 1981 Hydrodynamic stability and bifurcation. In Hydrodynamics Instabilities and the Transition to Turbulence (ed. H. Swinney J. Gollub), pp. 27–76. Springer.
17. Karman, T. Von 1911 Uber den Mechanismus der Widerstander den ein bewegter Korper in einer Fliisseigkeit afahrt. Gott. Nachr, 509–517.
18. Koch, W. 1985 Local instability characteristics and frequency determination of self excited wake flows. J. Sound Vib. 99, 53–83.
19. Koopmann, G. H. 1967 The vortex wakes of vibrating cylinders at low Reynolds numbers. J. Fluid Mech. 28, 501–512.
20. Kuramoto, Y. 1984 Chemical Oscillations, Waves and Turbulence. Springer.
21. Landau, L. D. 1944 On the problem of turbulence. C.R. Acad. Sci. URSS 44, 311–314.
22. Landau, L. Lifshitz, E. 1971 Mecanique des Fluides. Moscow: Mir.
23. Libchaber, A. Maurer, J. 1981 A Rayleigh-Benard experiment: helium in a small box. In Nonlinear Phenomena at Phase Transitions and Instabilities (ed. T. Riste), pp. 259–286. NATO Report.
24. Maclaughlin, J. B. Orszag, S. 1982 Transition from periodic to chaotic thermal convection. J. Fluid Mech. 122, 123–142.
25. Mathis, C. 1983 Proprietes des composantes de vitesse transverses dans I'ecoulement de Benard-von Karman aux faibles nombres de Reynolds. Thesis, Universite Aix-Marseille.
26. Mathis, C., Provansal, M. Boyer, L. 1984a The Benard-von Karman instability: an experimental study near the threshold. J. Phys. Paris Lett. 45, 483–491.
27. Mathis, C., Provansal, M. Boyer, L. 1984b The rotating grating applied to the study of the Benard-von Karman instability near the threshold. Proc. Second Intl Symp. on Applications of Laser Anemometry to Fluid Mechanics, Lisbon, p. 12-15.
28. Meiron, D., Saffman, P. G. Schatzman, J. 1984 The linear two-dimensional stability of inviscid vortex streets of finite-cored vortices. J. Fluid Mech. 147, 187–212.
29. Nakamura, I. 1976 Steady wake behind a sphere. Phys. Fluids, 19, 5–8.
30. Palm, E. 1960 On the tendency towards hexagonal cells in steady convection. J. Fluid Mech. 8, 183–192.
31. Peterka, J. Richardson, P. 1969 Effect of sound on separated flows. J. Fluid Mech. 37, 265–287.
32. Roshko, A. 1954 On the development of turbulent wakes from vortex streets. NACA Tech. Note 2913, 1–71.
33. Ruelle, D. Takens, F. 1979 On the nature of turbulence. Commun. Math. Phys. 20, 167–192.
34. Saffman, P. G. Schatzman, J. C. 1982 Stability of vortex street of finite vortices. J. Fluid Mech. 117, 171-185.
35. Sreenivasan, K. R. 1985 Transition and turbulence in fluid flows and low-dimensional chaos. In Frontiers in Fluid Mechanics (ed. S. H. Davis J. L. Lumley), pp. 41–66. Springer.
36. Strykowski, P. J. 1986 The control of absolutely and convectively unstable flows. PhD thesis, Yale University.
37. Stuart, J. T. 1958 On the non-linear mechanics of hydrodynamic stability. J. Fluid Mech. 4, 1–21.
38. Stuart, J. T. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. J. Fluid Mech. 9, 353–370.
39. Tam, C. 1978 A note on vortex streets behind circular cylinders at low Reynolds numbers. J. Fluid Mech. 45, 203–208.
40. Toebes, G. 1969 The unsteady flow and wake near an oscillating cylinder. Trans ASME D: J. Basic Engng 91, 493–505.
41. Tritton, D. 1971 A note on vortex streets behind circular cylinders at low Reynolds numbers. J. Fluid Mech. 45, 203–208.