Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-17T22:49:16.464Z Has data issue: false hasContentIssue false

Vortex shedding from spheres

Published online by Cambridge University Press:  29 March 2006

Elmar Achenbach
Affiliation:
Institut für Reaktorbauelemente der Kernforschungsanlage Jülich GmbH, Jülich, Germany

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.

Type
Research Article
Copyright
© 1974 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Achenbach, E. 1972 Experiments on the flow past spheres at very high Reynolds numbers J. Fluid Mech. 54, 565575.Google Scholar
Calvert, J. R. 1972 Some experiments on the flow past a sphere Aero. J. Roy. Aero. Soc. 76, 248250.Google Scholar
Cometta, C. 1957 An investigation of the unsteady flow pattern in the wake of cylinders and spheres using a hot wire probe. Div. Engng, Brown University, Tech. Rep. WT-21.Google Scholar
Foch, A. & Chartier, C. 1935 Sur l’écoulement d'un fluide à l'aval d'une sphère Comptes Rendus, 200, 11781181.Google Scholar
Magarvey, R. H. & Bishop, R. L. 1961 Wakes in liquid-liquid systems Phys. Fluids, 4, 800805.Google Scholar
Magarvey, R. H. & MacLatchy, C. S. 1965 Vortices in sphere wakes Can. J. Phys. 43, 16491656.Google Scholar
Marshall, D. & Stanton, T. E. 1931 On the eddy system in the wake of flat circular plates in three-dimensional flow. Proc. Roy. Soc A 130, 295301.Google Scholar
MÖller, W. 1938 Experimentelle Untersuchung zur Hydromechanik der Kugel Phys. Z. 39, 5780.Google Scholar
Mujumdar, A. S. & Douglas, W. J. M. 1970 Eddy shedding from a sphere in turbulent free streams Int. J. Heat Mass Transfer, 13, 16271629.Google Scholar
Rosenhead, L. 1953 Vortex systems in wakes Adv. in Appl. Mech. 3, 185195.Google Scholar
Roshko, A. 1954 On the development of turbulent wakes from vortex streets. N.A.C.A. Rep. no. 1191.Google Scholar
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, 99105.Google Scholar
Torobin, L. B. & Gauvin, W. H. 1959 Fundamental aspect of solids-gas flow. Part II. The sphere wake in steady laminar fluids Can. J. Chem. Engng, 37, 167176.Google Scholar