Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T06:15:38.934Z Has data issue: false hasContentIssue false

A Numerical Study of Vortex Shedding From One and Two Circular Cylinders

Published online by Cambridge University Press:  07 June 2016

P.K. Stansby*
Affiliation:
Department of Civil Engineering, University of Salford
Get access

Summary

A discrete-vortex representation of the wake of a circular cylinder, in which vortices are convected in a potential-flow calculation and maintain their identities unless they approach one another or a surface closely, predicts many of the unsteady flow features and is computationally more efficient than other schemes. The mean rate of shedding of vorticity is adjusted to be compatible with experiments at a high subcritical Reynolds number of 3 × 104 and the model gives reasonable predictions of separation, drag, lift, Strouhal number and vorticity loss in the formation region. The method is extended to accommodate a second cylinder and many of the surprising features which have been observed experimentally with two cylinders in a side-by-side arrangement are reproduced.

Type
Research Article
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 Saffman, P.G. and Baker, G.R., Vortex interactions, Annual Review of Fluid Mechanics, vol. 11, 95, 1979.Google Scholar
2 Clements, R.R. and Maull, D.J., The representation of sheets of vorticity by discrete vortices, Progress in Aerospace Sciences, vol. 16, 129, 1975.CrossRefGoogle Scholar
3 Graham, J.M.R., Vortex shedding from sharp edges, Imperial College Aero. Report 77-06, ISSN 0308 7247, 1977.Google Scholar
4 Fink, P.T. and Soh, W.K., A new approach to roll-up calculations of vortex sheets, Proceedings Royal Society, London, Series A, vol. 362, 195, 1978.Google Scholar
5 Moore, D.W., A numerical study of the roll-up of a finite vortex sheet, Journal of Fluid Mechanics, vol. 63, 225, 1974.Google Scholar
6 Sarpkaya, T. and Shoaff, R.L., An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over a cylinder, AIAA 17th Aerospace Sciences Meeting, Paper 70-0281, 1979.Google Scholar
7 Maskew, B.M., Sub-vortex technique for the close approach to a vortex sheet, Journal of Aircraft, vol. 14, 188, 1977.Google Scholar
8 Deffenbaugh, F.D. and Marshall, F.J., Time-development of the flow about an impulsively started cylinder, Journal of AIAA, vol. 14, 908, 1976.Google Scholar
9 Fage, A. and Johansen, F.C., The structure of vortex sheets, ARC R and M, 1927.Google Scholar
10 Stansby, P.K., Vortex wakes of cylinders oscillating in uniform and shear flows, PhD dissertation, University of Cambridge, 1974.Google Scholar
11 Zdravkovich, M.M., Private communication, 1979.Google Scholar
12 Mair, W.A. and Stansby, P.K., Vortex wakes of bluff cylinders in shear flow, Proceedings of the International Symposium on Modern Developments in Fluid Dynamics, SIAM, 1977.Google Scholar
13 Clements, R.R., An inviscid model of two-dimensional vortex shedding, Journal of Fluid Mechanics, vol. 57, 321, 1973.Google Scholar
14 Zdravkovich, M.M., Review of flow interference between two circular cylinders in various arrangements, Transactions of ASME, Journal of Fluids Engineering, vol. 99, 618, 1977.Google Scholar
15 Bearman, P.W. and Wadcock, A.J., The interaction between a pair of circular cylinders normal to a stream, Journal of Fluid Mechanics, vol. 61, 499, 1973.Google Scholar
16 Ishigai, S., et al Experimental study on structure of gas flow in tube banks normal to flow, Bulletin of JSME, vol. 15, 949, 1972.Google Scholar
17 Mair, W.A. and Maull, D.J., Aerodynamic behaviour of bodies in the wakes of other bodies, Philosophic Transactions of Royal Society, Series A, vol. 269, 425, 1971 Google Scholar