Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-22T10:30:23.027Z Has data issue: false hasContentIssue false
  • English
  • Français

An assessment of the universal Strouhal number concepts for two-dimensional bluff bodies

Published online by Cambridge University Press:  04 July 2016

H. B. Awbi
H. B. Awbi*
Affiliation:
Building Services Research and Information Association, Bracknell
Get access Rights & Permissions [Opens in a new window]

Summary

The ‘universal’ Strouhal number, SB, which was derived by Bearman using the Kronauer vortex stability criterion is presented for two-dimensional rectangular-section prisms of depth to width ratio, d/h, from 1 to 5, for a flat plate with and without splitter plates, for a circular cylinder with splitter plates and for a circular cylinder with two blowing slots to control its wake width. A value of SB close to Bearman's value of 0·181 is obtained for the prisms of small d/h, for the plate without a splitter plate, for the cylinder with small splitter plates and for the cylinder for low blowing rates. For the other cases, however, SB is found to vary within the range 0·137 to 0·208 which is an indication that the general application of this concept to two-dimensional bluff bodies is superficial.

Type
Research Article
Information
The Aeronautical Journal , Volume 85 , Issue 850 , December 1981 , pp. 467 - 469
Copyright
Copyright © Royal Aeronautical Society 1981 

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

1. Goldstein, S. (Ed.) Modern developments in fluid dynamics, Dover, Vol II, pp 557–565,1965.Google Scholar
2. Fage, A. and Johansen, F. C. On the flow of air behind an inclined flat plate of infinite span, ARC R&M 1104, 1927.Google Scholar
3. Rosenhead, L. and Schwabe, M. An experimental investigation of the flow behind circular cylinders in channels of different breadths, Proc Roy Soc, Ser. A, Vol 129, pp 115–135, 1930.Google Scholar
4. Tyler, E. Vortex formation behind obstacles of various sections, Phil Mag, S 7, Vol 11, No 72, pp 849–890,1931.Google Scholar
5. Wille, R. On the unsteady flows and transient motions, Prog Aero Sci, Vol 7, pp 195–207,1966.Google Scholar
6. Modi, V. J. and El-sherbiny, S. On the wall confinement effects in industrial aerodynamics studies, Int Symp Vibration Problems in Industry, Keswick, England, paper No 116,1973.Google Scholar
7. Papailiou, D. D. and Lykoudis, P. S. Turbulent vortex streets and the entrainment mechanism of the turbulent wake, J Fluid Mech, Vol 62,pp 11–31,1974.Google Scholar
8. Okamoto, T. and Takeuchi, M. Effect of side walls of windtunnel on flow around two-dimensional circular cylinder and its wake, Bull JSME, Vol 18, No 123, pp 1011–1017,1975.Google Scholar
9. Kronauer, R. W. Predicting eddy frequency in separated wakes, IUTAM Symposium on Concentrated Vortex Motions in Fluids, Ann Arbor, Michigan, 1964 (quoted by Bearman).Google Scholar
10. Roshko, A. On the drag and shedding frequency of twodimensional bluff bodies, NACA TN 3169,1954.Google Scholar
11. Roshko, A. A new hodograph for free-streamline theory, NACA TN 3168, 1954.Google Scholar
12. Gerrard, J. H. The mechanism of the formation region of vortices behind bluff bodies, J Fluid Mech, Vol 25, pp 401–413, 1966.Google Scholar
13. Bearman, P. W. On vortex street wakes, J Fluid Mech, Vol 28, pp 625–641, 1967.Google Scholar
14. Goldburg, A. and Florsheim, B. H. Transition and Strouhal number for incompressible wake of various bodies, Physics of Fluids, Vol 9, pp 45–50,1966.Google Scholar
15. Simmons, J. E. L. Effect of separation angle on vortex streets, Proc ASCE, J Eng Mech Div, Vol 101, pp 649–661,1975.Google Scholar
16. Maskell, E. C. A theory of the blockage effects on bluff bodies and stalled wings in a closed wind tunnel, ARC R&M 3400,1963.Google Scholar
17. Chen, Y.N. Fluctuating lift forces of the Karman vortex streets on single circular cylinders and in tube bundles. Part 1 — The vortex street geometry of the single circular cylinder. Trans ASME, J Eng Ind, pp 603–612, May, 1972.Google Scholar
18. Nakaguchi, H. and Hashimoto, K. An experimental study on aerodynamics drag of rectangular cylinders, J Jpn Soc Aeronaut Space Sci, Vol 16, pp 1–5, 1968.Google Scholar
19. Bearman, P. W. and Trueman, D. M. An investigation of the flow around rectangular cylinders, Aeronautical Quarterly, Vol XXIII, pp 229–237, 1972.Google Scholar
20. Awbi, H. B. Wind-tunnel-wall constraint on two-dimensional rectangular-section prisms, J Ind Aerodyn, Vol 3, pp 285–306, 1978.Google Scholar
21. Awbi, H. B. Boundary layer control on a circular cylinder by tangential blowing, Aerospace, Vol 2, No 9, pp 18–20, 1975.Google Scholar
22. Apelt, C. J. and West, G. S. The effects of wake splitter plates on bluff-body flow in the range 104 < R < 5 x 104 . Part 2, J Fluid Mech, Vol 71, pp 145–160, 1975.Google Scholar
23. Roshko, A. Experiments on the flow past a circular cylinder at very high Reynolds number, J Fluid Mech, Vol 10, pp 345–356, 1961.Google Scholar
24. Apelt, C. J., West, G. S. and Szewczyk, A. A. The effects of wake splitter plates on the flow past a circular cylinder in the range 104 < R < 5 x 104 , J Fluid Mech, Vol 61, pp 187–198, 1973.Google Scholar
25. Surry, D. Some effects of intense turbulence on the aerodynamics of a circular cylinder at subcritical Reynolds number, J Fluid Mech, Vol 52, pp 543–563, 1972.Google Scholar