Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-18T06:32:46.589Z Has data issue: false hasContentIssue false

The mechanics of the formation region of vortices behind bluff bodies

Published online by Cambridge University Press:  28 March 2006

J. H. Gerrard
Affiliation:
Department of the Mechanics of Fluids, Manchester University

Abstract

The characteristic lengths of the oscillating wakes of bluff bodies is discussed; in particular, those used in the universal non-dimensional frequencies proposed by Roshko (1954b) and Goldburg, Washburn & Florsheim (1965). It is concluded that these are equivalent at high Reynolds number. A closer examination leads to the conclusion that there are two simultaneous characteristic lengths; the scale of the formation region, and the width to which the free shear layers diffuse. Discussion of the mechanics of the formation region results in a physical basis for the determination of the frequency by these two characteristic lengths. The ideas developed are applied to the effects of splitter plates in the wake. The possibility of a high-Reynolds-number symmetrical formation region is suggested as an explanation of the very small lift values observed in the absence of free-stream disturbances.

Type
Research Article
Copyright
© 1966 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 blunt trailing edge and fitted with splitter plates. J. Fluid Mech. 21, 241.Google Scholar
Berger, E. 1946 Jahr. Wis. Ges. L. & R., Berlin.
Bloor, M. S. 1964 The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290.Google Scholar
Fage, A. & Johansen, F. C. 1927 The structure of vortex sheets. Aero. Res. Counc. R & M no. 1143.Google Scholar
Gerrard, J. H. 1963 The calculation of the fluctuating lift on a circular cylinder and its application to the determination of aeolian tone intensity. AGARD Rep. no. 463.Google Scholar
Gerrard, J. H. 1965 A disturbance sensitive Reynolds number range of the flow past a circular cylinder. J. Fluid Mech. 22, 187.Google Scholar
Goldburg, A., Washburn, W. K. & Florsheim, B. H. 1965 Strouhal numbers for the hypersonic wakes of spheres and cones. A.I.A.A. J. 3. 1332.Google Scholar
Goldstein, S. 1938 Modern Developments on Fluid Dynamics, vol. 2, figure 149. Oxford University Press.
Kronauer, R. E. 1964 Unpublished presentation at I.U.T.A.M. conference on concentrated vortex motions, Ann Arbor.
Roshko, A. 1954a A new hodograph for free-streamline theory. NACA TN no. 3168.Google Scholar
Roshko, A. 1954b On the drag and shedding frequency of two-dimensional bluff bodies. NACA TN no. 3169.Google Scholar
Schiller, L. & Linke, W. 1933 Z. Flugtech. Motorluft. 24, 193.
Schlichting, H. 1955 Boundary Layer Theory. London: Pergamon Press.