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Downstream evolution of the Bénard–von Kármán instability
Phys. Rev. E 50, 308 – Published 1 July, 1994
DOI: https://doi.org/10.1103/PhysRevE.50.308
Abstract
We describe experiments in the Bénard–von Kármán hydrodynamic instability of the vortex shedding behind an obstacle. We obtain the scaling laws for the evolution of the global mode describing the envelope of the peak to peak amplitude velocity oscillation of the flow velocity and we show the existence of a universal curve for the renormalized amplitude of the streamwise evolution of this amplitude.
References (27)
- L.S.G. Kovasznay, Proc. R. Soc. London Ser. A 198, 174 (1949).
- C. Mathis, Ph.D. thesis, University of Aix en Provence, France, 1983.
- J.E. Wesfreid, Y. Pomeau, M. Dubois, C. Normand and P. Bergé, J. Phys. (Paris) 39, 725 (1978).
- J.M. Chomaz, P. Huerre and L.G. Redekopp, Phys. Rev. Lett. 60, 25 (1987).
- P. Huerre and P.A. Monkewitz, Annu. Rev. Fluid Mech. 22, 473 (1990).
- J.M. Chomaz, P. Huerre, and L.G. Redekopp, in New Trends in Nonlinear Dynamics and Pattern Forming Phenomena, edited by P. Coullet and P. Huerre (Plenum, New York, 1990), p. 259.
- P.A. Monkewitz, P. Huerre, and J.M. Chomaz, J. Fluid Mech. (unpublished).
- R.E. Hunt and D.G. Crighton, Proc. R. Soc. London 435, 109 (1991).
- S. Le Dizès (unpublished).
- K. Hannemann, Jr. and H. Oertel, ., J. Fluid Mech. 199, 55 (1989).
- W. Koch, J. Sound Vib. 99, 53 (1985).
- X. Yang and A. Zebib, Phys. Fluids A1 4, 689 (1989).
- Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
- A. Strzelecki, Ph.D. thesis, UPS Toulouse, France, 1989.
- C.H.K. Williamson, J. Fluid Mech. 206, 579 (1989).
- Albarede and P.A. Monkewitz, Phys. Fluids A 10, 744 (1992).
- A. Chiffaudel, Europhys. Lett. 18, 589 (1992).
- A.J. Schaefer and S. Eskinazi, J. Fluid Mech. 6, 241 (1958).
- F.R. Hama, Phys. Fluids. 5, 664 (1962).
- M. Provansal, C. Mathis and L. Boyer, J. Fluid Mech. 182, 1 (1987).
- K.R. Sreenivasan, P.J. Strykowski, and D.J. Olinger, in Proceedings of the Forum on Unsteady Flow Separation, edited by K.N. Ghia (American Society for Mechanical Engineers, New York, 1987), Vol. 52, p. 1
- M. Guillaume, DEA Report, University of Paris VI, 1990 (unpublished).
- P.J. Strykowski, Ph.D. thesis, Yale University, 1986.
- M.Z. Pesenson and P.A. Monkewitz, Phys. Rev. Lett. 70, 2722 (1993). par
- J.E. Wesfreid, S. Goujon Durand, and P. Jenffer (unpublished).
- B. Zielinska (private communication).
- C. Mathis, M. Provansal and L. Boyer, J. Phys. (Paris) Lett. 5, L483 (1984).