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The onset and development of circular-cylinder vortex wakes in uniformly accelerating flows

Published online by Cambridge University Press:  26 April 2006

Tim Lee
Affiliation:
Mechanical Engineering Department, University of Idaho, Moscow, ID 83843, USA Current address: Chemical Engineering Department, Johns Hopkins University, Baltimore, MD 21218. USA.
Ralph Budwig
Affiliation:
Mechanical Engineering Department, University of Idaho, Moscow, ID 83843, USA

Abstract

The influence of uniform flow acceleration on the stability and the characteristics of circular-cylinder wakes over a Reynolds-number range, 20 < R < 330, was investigated. Experiments were performed to examine the temporal evolution of the wake before, during, and after the onset of the wake instability. We have demonstrated in several ways that the wake is stabilized by flow acceleration: (i) the onset of the wake instability occurs at larger Reynolds numbers than in the steady flow case, (ii) the closed wake develops to states that would be unstable in a steady flow, and (iii) once vortex shedding does occur there is a reduction in instantaneous Strouhal number. We have also examined the temporal growth rate of the wake instability and find that it is directly proportional to the applied flow acceleration. Physical mechanisms are proposed to describe the experimental observations.

Type
Research Article
Copyright
© 1991 Cambridge University Press

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References

Bergbr, E. & Wille, R. 1972 Periodic flow phenomena. Ann. Rev. Fluid Mech. 4, 313340.Google Scholar
Bouard, R. & Coutanceau, M. 1980 The early stage of development of the wake behind an impulsively started cylinder for 40 < Re < 104. J. Fluid Mech. 101, 583607.Google Scholar
Coutanceau, M. & Bouard, R. 1977a Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform transition. Part 1. Steady flow. J. Fluid Mech. 79, 231256.Google Scholar
Coutanceau, M. & Bouard, R. 1977b Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform transition. Part 2. Unsteady flow. J. Fluid Mech. 79, 257272.Google Scholar
Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
Eisenlohr, H. & Eckelmann, H. 1989 Vortex splitting and its consequences in the vortex street wake of cylinder at low Reynolds number. Phys. Fluids A 1, 189192.Google Scholar
Friehe, C. A. 1980 Vortex shedding from cylinder at low Reynolds numbers. J. Fluid Mech. 100, 237241.Google Scholar
Gerich, D. 1986 A limiting process for the von Kármán street showing the change from two– to three-dimensional flow. In Flow Visualization, vol. 4 (ed. C. Véret), pp. 463467. Hemisphere.
Gerich, D. & Eckelmann, H. 1982 Influence of end plates and free ends on the shedding frequency of circular cylinders. J. Fluid Mech. 122, 109121.Google Scholar
Gerrard, J. H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25, 401413.Google Scholar
Honji, H. & Taneda, S. 1969 Time-dependent flow around a circular cylinder accelerated uniformly from one steady speed to another. Rep. Res. Inst. for Appl. Mech., vol. xvii, no. 9, pp. 187193.Google Scholar
Karniadakis, G. E. & Triantafyllou, G. S. 1989 Frequency solution and asymptotic states in laminar wake. J. Fluid Mech. 199, 441469.Google Scholar
Koppius, A. M. & TRINES, G. R. M. 1976 The dependence of hot wire probes calibration on gas temperature at low Reynolds numbers. Intl. J. Heat Mass Transfer 19, 967974.Google Scholar
Lee, T. & Budwig, R. 1991 A study of the effect of aspect ratio on vortex shedding behind circular cylinders. Phys. Fluids A 3, 309315.Google Scholar
Manca, O., Mastrullo, R. & Mazzei, P. 1988 Calibration of hot wire probes at low velocities in air with variable temperature. Dantec Information No. 06, pp. 68.
Mathis, C., Provansal, M. & Boyer, L. 1984 The Bénard—von Kármán instability: An experimental study near the threshold. J. Physique Lett. 45, L-483-L-491.Google Scholar
Monkewitz, P. A. 1988 The absolute and convective nature of instability in two-dimensional wakes at low Reynolds numbers. Phys. Fluids 31, 9991006.Google Scholar
Nishioka, M. & Sato, H. 1974 Measurements of velocity distributions in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 65, 97112.Google Scholar
Nishioka, M. & Sato, H. 1978 Mechanism of determination of the shedding frequency of vortices behind a cylinder at low Reynolds numbers. J. Fluid Mech. 89, 4960.Google Scholar
Provansal, M., Mathis, C. & Boyer, L. 1987 Bernard-von Kármán instability: Transient and forced regimes. J. Fluid Mech. 182, 122.Google Scholar
Roshko, A. 1954a On the development of turbulent wakes from vortex streets. NACA Rep. 1191, pp. 801825.
Roshko, A. 1954b On the drag and shedding frequency of two-dimensional bluff bodies. NACA Tech. Note 3169, p. 29.
Sarpkaya, T. 1963 Lift, drag, and added-mass coefficients for a circular cylinder immersed in a time-dependent flow. Trans. ASMS : J. Appl. Mech. 30, 1315.Google Scholar
Sarpkaya, T. 1978 Impulsive flow about a circular cylinder. Naval Postgraduate School Tech. Rep. NPS-69SL-78–008.
Shair, F. H., Grove, A. S., Peterson, E. E. & Acrivos, A. 1963 The effect of confining walls on the stability of steady wake behind a circular cylinder. J. Fluid Mech. 17, 546550.Google Scholar
Sreenivasan, K. R., Strykowski, P. J. & OLINGER, D. J. 1987 Hopf bifurcation, Landau equation, and vortex shedding behind circular cylinders. In Forum on Unsteady Flow Separation, FED-Vol 52, pp. 113. ASME.
Strykowski, P. J. & Sreenivasan, K. R. 1990 On the formation and suppression of vortex ‘shedding’ at low Reynolds numbers. J. Fluid Mech. 218, 71107.Google Scholar
Taneda, S. 1977 Visual study of unsteady separation flows around bodies. Prog. Aerospace Sci. 17, 287348.Google Scholar
Tritton, D. J. 1959 Experiments of the flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 6, 547567.Google Scholar
Tritton, D. J. 1971 A note on the vortex streets behind circular cylinder. J. Fluid Mech. 45, 203208.Google Scholar
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, 579627.Google Scholar