Vortex Shedding from Slender Cones at Low Reynolds Numbers

The phenomenon of vortex shedding arising from bluff bodies in a fluid flow has been investigated for over a hundred years. Most previous research has concentrated on circular cylinders normal to the flow, and has shown that the frequency associated with shedding depends on Reynolds number. The present investigation has been concerned with vortex shedding from cones, that is bodies of circular cross-section possessing a slight spanwise taper. The resulting presence of a continuously varying Reynolds number along the span of the cone induces a continuously varying ‘natural’ shedding frequency. Earlier experiments have shown that, at low Reynolds numbers, spanwise ‘cells’ are formed along the cone, in each of which the frequency is constant [1].

[1]  K. Sreenivasan,et al.  HOPF BIFURCATION, LANDAU EQUATION, AND VORTEX SHEDDING BEHIND CIRCULAR CYLINDERS. , 1987 .

[2]  Bernd R. Noack,et al.  On cell formation in vortex streets , 1991 .

[3]  G. P. King,et al.  Extracting qualitative dynamics from experimental data , 1986 .

[4]  L. Boyer,et al.  Modélisation par l'équation de Ginzburg-Landau du sillage tridimensionnel d'un obstacle allongé , 1990 .

[5]  M. Provansal,et al.  Bénard-von Kármán instability: transient and forced regimes , 1987, Journal of Fluid Mechanics.

[6]  M. Gaster,et al.  The flows over tapered flat plates normal to the stream , 1984 .

[7]  C. Williamson.  Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers , 1989, Journal of Fluid Mechanics.

[8]  C. W. Van Atta,et al.  An experimental study of vortex shedding behind linearly tapered cylinders at low Reynolds number , 1993 .

[9]  Michael Gaster,et al.  Vortex shedding from slender cones at low Reynolds numbers , 1969, Journal of Fluid Mechanics.

[10]  A. Roshko.  On the development of turbulent wakes from vortex streets , 1953 .

[11]  Edward J. Powers,et al.  Experiments on the role of amplitude and phase modulations during transition to turbulence , 1982, Journal of Fluid Mechanics.

[12]  Helmut Eckelmann,et al.  Influence of end plates and free ends on the shedding frequency of circular cylinders , 1982, Journal of Fluid Mechanics.

[13]  M. Gaster.  Vortex shedding from circular cylinders at low Reynolds numbers , 1971, Journal of Fluid Mechanics.

[14]  E. J. Powers,et al.  Wave modulation in a nonlinear dispersive medium , 1980 .

[15]  Helmut Eckelmann,et al.  Vortex splitting and its consequences in the vortex street wake of cylinders at low Reynolds number , 1989 .

[16]  A “robust” vortex-shedding anemometer , 1993 .

[17]  H. Eckelmann,et al.  The fine structure in the Strouhal-Reynolds number relationship of the laminar wake of a circular cylinder , 1990 .