Hostname: page-component-8448b6f56d-qsmjn Total loading time: 0 Render date: 2024-04-23T21:29:13.055Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on bluff body vortex formation

Published online by Cambridge University Press:  26 April 2006

Owen M. Griffin
Owen M. Griffin
Affiliation:
Naval Research Laboratory, Washington DC 20375-5351, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Green & Gerrard (1993) have presented in a recent paper the results of experiments to measure the distribution of vorticity in the near wake of a circular cylinder at low Reynolds numbers (up to Re = 220). They also compared the various definitions of the vortex formation region length which have been proposed by Gerrard (1966), Griffin (1974), and others for both high and low Reynolds numbers. The purpose of this note is to expand the work of Green & Gerrard, and to further their proposition that the end of the vortex formation region at all Reynolds numbers mark both the initial position of the fully shed vortex and the location at which its strength is a maximum. The agreement discussed here between several definitions for the formation region length will allow further understanding to be gained from investigations of the vortex wakes of stationary bluff bodies, and the wakes of oscillating bodies as well.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 284 , 10 February 1995 , pp. 217 - 224
Copyright
© 1995 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bearman, P. W. 1965 Investigation of the flow behind a two dimensional model with a blunt trailing edge and fitted with splitter plates. J. Fluid Mech. 21, 241–255.Google Scholar
Bearman, P. W. 1967 On vortex street wakes. J. Fluid Mech. 28, 625–641.Google Scholar
Bloor, M. S. & Gerrard, J. H. 1966 Measurements on turbulent vortices in a cylinder wake. Proc. R. Soc. Lond. A 294, 319–342.Google Scholar
Cimbala, J. M., Nagib, H. M. & Roshko, A. 1988 Large structure in the far wakes of two-dimensional bluff bodies. J. Fluid Mech. 190, 265–298.Google Scholar
Gerrard, J. H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25, 401–413.Google Scholar
Gerrard, J. H. 1978 The wakes of cylindrical bluff bodies at low Reynolds numbers. Phil. Trans. R. Soc. Lond. A 288, 351–382.Google Scholar
Green, R. B. & Gerrard, J. H. 1993 Vorticity measurements in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 246, 675–691.Google Scholar
Griffin, O. M. 1971 The unsteady wake of an oscillating cylinder at low Reynolds number. Trans. ASME E: J. Appl. Mech. 38, 729–738.Google Scholar
Griffin, O. M. 1974 Effects of synchronized cylinder vibration on vortex formation and mean flow. In Flow-Induced Structural Vibrations, IUTAM/IAHR Symposium Karlsruhe 1972 (ed. E. Naudascher), pp. 454–470. Springer.
Griffin, O. M. & Hall, M. S. 1991 Vortex shedding lock-on and flow control in bluff body wakes. Trans. ASME I: J. Fluids Engng 113, 526–537.Google Scholar
Griffin, O. M. & Ramberg, S. E. 1974 The vortex street wakes of vibrating cylinders. J. Fluid Mech. 66, 553–576.Google Scholar
Griffin, O. M. & Ramberg, S. E. 1976 Vortex shedding from a cylinder vibrating in line with an incident uniform flow. J. Fluid Mech. 75, 257–271.Google Scholar
Griffin, O. M. & Votaw, C. W. 1972 The vortex street in the wake of a vibrating cylinder. J. Fluid Mech. 55, 31–48.Google Scholar
Hall, M. S. & Griffin, O. M. 1993 Vortex shedding and lock-on in a perturbed flow. Trans ASME I: J. Fluids Engng 115, 283–291.Google Scholar
Karniadakis, G.E. & Triantafyllou, G. S. 1989 Frequency selection and asymptotic states in laminar wakes. J. Fluid Mech. 199, 441–469.Google Scholar
Karniadakis, G. E. & Triantafyllou, G. S. 1992 Three dimensional dynamics and transition to turbulence in the wake of bluff objects. J. Fluid Mech. 238, 1–30.Google Scholar
Meneghini, J. R. & Bearman, P. W. 1993 Numerical simulation of high amplitude oscillatory flow about a circular cylinder using the discrete vortex method. AIAA Shear Flow Conf. Paper AIAA 93-3288.
Nishioka, M. & Sato, H. 1978 Mechanism of determination of the shedding frequency of vortices behind a circular cylinder at low Reynolds numbers. J. Fluid Mech. 89, 49–60.Google Scholar
Rockwell, D. 1990 Active control of globally-unstable separated flows. In Intl Symp. on Nonsteady Fluid Dynamics (Proc.), pp. 379–394. ASME.
Roshko, A. 1954 On the drag and shedding frequency of two-dimensional bluff bodies. Natl Adv. Comm. for Aero., Washington, DC, TN 3169.
Roshko, A. 1955 On the wake and drag of bluff bodies. J. Aero. Sci. 22, 124–132.Google Scholar
Roussopoulos, K. 1993 Feedback control of bluff body vortex shedding. J. Fluid Mech. 248, 267–296.Google Scholar
Schaefer, J. W. & Eskinazi, S. 1959 An analysis of the vortex street generated in a viscous fluid. J. Fluid Mech. 6, 241–259.Google Scholar
Schumm, M., Berger, E. & Monkewitz, P. A. 1994 Self-excited oscillations in the wake of two-dimensional bluff bodies and their control. J. Fluid Mech. 271, 17–53.Google Scholar
Williamson, C. H. K. 1988 Defining a universal and continuous Strouhal–Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys. Fluids 31, 2742–2744.Google Scholar
Williamson, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds number. J. Fluid Mech. 206, 579–627.Google Scholar