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An inviscid model of two-dimensional vortex shedding

Published online by Cambridge University Press:  29 March 2006

R. R. Clements
R. R. Clements
Affiliation:
Engineering Department, Cambridge University
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Abstract

An inviscid model of two-dimensional vortex shedding behind a square-based section is developed. The model uses a discrete-vortex approximation for the free shear layers. The motion of the shear layers is computed from the velocities of the discrete vortices, which in turn are derived through a Schwartz-Christoffel transformation of the section. The flow round the body is impulsively started from rest and initially develops symmetrically. The introduction of a small asymmetric disturbance results in asymmetric interaction of the shear layers amplifying into steady vortex-shedding motion.

The model is shown to predict the form of vortex shedding, the Strouhal number and some other flow quantities to a good degree of agreement with experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 2 , 6 February 1973 , pp. 321 - 336
Copyright
© 1973 Cambridge University Press

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References

Abernathy, F. H. & Kronauer, R. E. 1962 The formation of vortex streets. J. Fluid Mech. 13, 1.Google Scholar
Archibald, F. 1971 Private communication.
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.Google Scholar
Birkhoff, G. D. & Fisher, J. 1959 Do vortex sheets roll up? Rendi. Circ. Math. Palermo, series 2, vol. 8, p. 77.Google Scholar
Davis, D. M. 1970 An analytic study of separated flow about a circular cylinder. M.Sc. thesis, Naval Postgraduate School, Monterey.
Datvson, C. & Marcus, M. 1970 DCM - a computer code to simulate viscous flow about arbitrarily shaped bodies. Proc. Heat Trans. FZuid Mech. Inst. p. 323.Google Scholar
Fage, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. Roy. Soc. A 116, 170.Google Scholar
Fromm, J. E. & Harlow, F. H. 1963 A numerical solution of the problem of vortex street development. Phys. Fluids, 6, 1975.Google Scholar
Gerrard, J. H. 1967 Numerical computation of the magnitude and frequency of the lift on a circular cylinder. Phil. Trans. Roy. Soc. 261, 137.Google Scholar
Hania, F. R. & Burke, E. R. 1960 On the rolling up of a vortex sheet. University of Maryland Tech. Note, BN-220.Google Scholar
Jordan, S. K. & Fromm, J. E. 1972 Oscillatory drag, lift and torque on a circular cylinder in a uniform flow. Phys. Fluids, 15, 371.Google Scholar
Laird, A. D. K. 1971 Eddy formation behind circular cylinders. Proc. A.X.C.E., Hydraulics Div. 97, 763.Google Scholar
Nielsen, K. TH. W. 1969 Vortex formation in a two dimensional periodic wake. Ph.D. thesis, Oxford University.
Rosenhead, L. 1931 The formation of vortices from a surface of discontinuity. Proc. Roy. Soc. A 134, 170.Google Scholar
Sarpkaya, T. 1968 An analytic study of separated flow about circular cylinders. A.S.M.E. J. Basic Bngn.g, 90, 511.Google Scholar
Thoman, D. C. & Szewczyk, A. A. 1969 Time dependent viscous flow over a cylinder. Phys. Fluid.s, 12 (suppl. 11), II 76.Google Scholar
Wood, C. J. 1964 The effect of base bleed on a periodic wake. J. Roy, Aeron. Soc. 68, 477.Google Scholar