Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-27T22:11:55.310Z Has data issue: false hasContentIssue false

The vortex-street wakes of vibrating cylinders

Published online by Cambridge University Press:  29 March 2006

Owen M. Griffin
Affiliation:
Naval Research Laboratory, Washington, D.C. 20375
Steven E. Ramberg
Affiliation:
Naval Research Laboratory, Washington, D.C. 20375

Abstract

The strength (initial circulation) and spacing of vortices in the wake of a circular cylinder have been obtained for conditions under which the body undergoes lateral vibrations. The vibrations of the cylinder were at all times synchronized with those in the wake, thereby suppressing the natural Strouhal frequency in favour of a common synchronized or ‘locked-in’ frequency for the body-wake system. All experiments were performed at a Reynolds number of 144 or 190. An inverse relation between the initial circulation K and the length lF of the vortex formation region was obtained for cylinder oscillations of up to 50% of a diameter, at vibration frequencies both above and below the Strouhal shedding frequency. The initial circulation K of the vortices was increased by as much as 65%, at lF = 1·6 diameters, from the stationary-cylinder value of K corresponding to lF = 3·2d. An increase in the rate A of vorticity generation of 80% from the stationary-cylinder wake value was obtained with the cylinder vibrating at 30% of a diameter and 110% of the Strouhal frequency. Both flow-visualization and hot-wire results show that the lateral spacing of the vortex street decreases as the vibration amplitude of the cylinder is increased, but that the longitudinal vortex spacing is independent of changes in amplitude. The longitudinal spacing, however, varies inversely with the vibration frequency. The street approaches a single line of vortices of alternating sign as the amplitude of vibration approaches values near a full cylinder diameter, and secondary vortex formation at these large amplitudes is associated with the vanishing lateral spacing of the street. Observation of the wake has elucidated the mechanism of vortex formation; the entrainment processes in the formation region have been observed at small intervals over a cycle of the cylinder's motion.

Type
Research Article
Copyright
© 1974 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 J. Fluid Mech. 21, 241255.
Berger, E. W. 1964 Z. Flugwiss. 12, 4159.
Berger, E. W. & Wille, R. 1972 Ann. Rev. Fluid Mech. 4, 313340.
Bishop, R. E. D. & Hassan, A. Y. 1964 Proc. Roy. Soc A 277, 5175.
Bloor, M. S. & Gerrard, J. H. 1966 Proc. Roy. Soc A 294, 319342.
Chaplin, J. R. 1972 Trans. A.S.M.E., J. Engng Indust. 94, 169621.
Christiansen, J. P. & Zabusky, N. 1973 J. Fluid Mech. 61, 219243.
Gerrard, J. H. 1966 J. Fluid Mech. 25, 401413.
Griffin, O. M. 1971 Trans. A.S.M.E., J. Appl. Mech. 38, 729738.
Griffin, O. M. 1973 Trans. A.S.M.E., J. Fluids Engng, 95, 579581.
Griffin, O. M., Ramberg, S. E., Votaw, C. W. & Kelleher, M. D. 1973 Proc. Int. Cong. on Instrumentation in Aerospace Simulation Facilities (I.E.E.E.), pp. 133139.
Griffin, O. M., Skop, R. A. & Koopmann, G. H. 1973 J. Sound Vib. 31, 235248.
Griffin, O. M. & Votaw, C. W. 1972 J. Fluid Mech. 55, 3148.
Honji, H. & Taneda, S. 1968a Rep. Res. Inst. Appl. Mech. 16, 211222.
Honji, H. & Taneda, S. 1968b Bull. Res. Inst. Appl. Mech. 30, 411 (in Japanese).
King, R., Prosser, M. J. & Johns, D. J. 1973 J. Sound Vib. 29, 169188.
Koopmann, G. H. 1967a J. Fluid Mech. 28, 501512.
Koopmann, G. H. 1967b M.S. thesis, Catholic University, Washington.
Mair, W. A. & Maull, D. J. 1971 J. Fluid Mech. 45, 209224.
Mei, V. C. & Currie, I. G. 1969 Phys. Fluids, 12, 22482254.
Parkinson, G. V. 1972 Mathematical models for flow-induced oscillations of bluff bodies. IUTAM-IAHR Symp. on Flow-Induced Structural Vibrations, Invited Paper.
Protos, A., Goldschmidt, V. & Toebes, G. 1968 Trans. A.S.M.E., J. Basic Engng, 90, 178386.
Roshko, A. 1954 N.A.C.A. Tech. Note, no. 3169.
Schaefer, J. W. & Eskinazi, S. 1959 J. Fluid Mech. 6, 241260.
Tanida, Y., Okajima, A. & Watanabe, Y. 1973 J. Fluid Mech. 61, 769784.
Toebes, G. H. 1969 Trans. A.S.M.E., J. Basic Engng, 91, 493505.
Toebes, G. H. & Ramamurthy, A. S. 1967 Proc. A.S.C.E., J. Engng Mech. 93, 120.
Weihs, D. 1972 J. Fluid Mech. 54, 679690.
Wood, C. J. 1971 J. Sound Vib. 14, 91102.
Wood, C. J. & Kirmani, S. F. A. 1970 J. Fluid Mech. 41, 627640.
Zdravkovich, M. M. 1969 J. Fluid Mech. 37, 491496.