Vortex shedding from spheres

Author:

Achenbach Elmar

Abstract

Vortex shedding from spheres has been studied in the Reynolds number range 400 < Re < 5 × 106. At low Reynolds numbers, i.e. up to Re = 3 × 103, the values of the Strouhal number as a function of Reynolds number measured by Möller (1938) have been confirmed using water flow. The lower critical Reynolds number, first reported by Cometta (1957), was found to be Re = 6 × 103. Here a discontinuity in the relationship between the Strouhal and Reynolds numbers is obvious. From Re = 6 × 103 to Re = 3 × 105 strong periodic fluctuations in the wake flow were observed. Beyond the upper critical Reynolds number (Re = 3.7 × 105) periodic vortex shedding could not be detected by the present measurement techniques.The hot-wire measurements indicate that the signals recorded simultaneously at different positions on the 75° circle (normal to the flow) show a phase shift. Thus it appears that the vortex separation point rotates around the sphere. An attempt is made to interpret this experimental evidence.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference13 articles.

1. Achenbach, E. 1972 Experiments on the flow past spheres at very high Reynolds numbers J. Fluid Mech. 54,565–575.

2. Taneda, S. 1956 Studies on the wake vortices (III). Experimental investigation of the wake behind a sphere at low Reynolds numbers.Res. Inst. Appl. Mech., Kyushu University, Fukuoka, Japan, Rep.4,99–105.

3. Calvert, J. R. 1972 Some experiments on the flow past a sphere Aero. J. Roy. Aero. Soc. 76,248–250.

4. Rosenhead, L. 1953 Vortex systems in wakes Adv. in Appl. Mech. 3,185–195.

5. Marshall, D. & Stanton, T. E. 1931 On the eddy system in the wake of flat circular plates in three-dimensional flow.Proc. Roy. Soc A130,295–301.

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