Vortex shedding from slender cones at low Reynolds numbers

Author:

Papangelou A.

Abstract

Wind-tunnel experiments on the flows created by a number of slightly tapered models of circular cross-section have shown the presence of spanwise cells (regions of constant shedding frequency) at Reynolds numbers of the order of 100. The experiments have also shown a number of other interesting features of these flows: the cellular flow configuration is dependent on the base Reynolds number and independent of the tip Reynolds number, the frequency jump between adjacent cells is a function of flow speed, taper angle and kinematic viscosity, but is constant along a cone's span, and the unsteady hot-wire anemometer signal is both amplitude and phase modulated. A mathematical model is proposed based on the complex Landau—Stuart equation with a spanwise diffusive coupling term. Numerical solutions of this equation have shown many of the qualitative features observed in the experiments.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference20 articles.

1. Williamson, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206,579.

2. Piccirillo, P. S. 1990 An experimental study of vortex shedding behind a linearly tapered cylinder at low Reynolds number. MS thesis,University of California.San Diego.

3. Roshko, A. 1954 On the development of turbulent wakes from vortex streets.NACA Rep. 1191.

4. Noack, B. R. 1989 Untersuchung chaotischer Phänomene in der Nachlaufströmung eines Kreiszylinders. Diplomarbeit, Institut für Angewandte Mechanik und Strömungsphysik der Georg-August-Universität, Göttingen.

5. Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics .Pergamon.

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