On the formation of vortex streets behind stationary cylinders

Author:

Triantafyllou George S.,Triantafyllou Michael S.,Chryssostomidis C.

Abstract

The formation of vortex streets behind stationary cylinders is found to be caused by an absolute instability in the wake immediately behind the cylinder. The inviscid Orr–Sommerfeld equation is used together with measured profiles at Reynolds numbers of (a) Re = 56 when the absolute instability provides a Strouhal number of 0.13; and (b) Re = 140000 providing a Strouhal number of 0.21, both in agreement with experimental values. At the subcritical Re = 34 the instability is of the convective type; i.e. the disturbance decays, being convected away once the external disturbance is removed, in agreement with experimental observations. Finally, the instability of the mode which causes a symmetric array of vortices is shown to be always of the convective type.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference19 articles.

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2. Roshko A. 1953 On the development of turbulent wakes from vortex streets.National advisory Comm. Aeronaut., Tech. Note 2913.

3. Gaster M. 1965 The role of spatially growing waves in the theory of hydrodynamic stability,Prog. Aeron. Sci. 6,251–270.

4. Cantwell B. J. 1976 ‘A flying hot wire study of the turbulent near wake of a circular cylinder at a Reynolds number of 140000’. Ph.D. thesis, California Institute of Technology, Pasadena, California.

5. Ahlfors L. V. 1966 Complex Analysis , 2nd edn.McGraw-Hill.

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