Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-10T06:58:08.162Z Has data issue: false hasContentIssue false

Swirling water bells

Published online by Cambridge University Press:  19 April 2006

Fritz H. Bark
Affiliation:
Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden
Hans-Peter Wallin
Affiliation:
Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden
Marcus G. Gällstedt
Affiliation:
Department of Hydromechanics, Royal Institute of Technology, Stockholm, Sweden
L. Peter Kristiansson
Affiliation:
Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden

Abstract

Swirling water bells are studied theoretically and experimentally. It is shown theoretically that, if the effects of gravity and the surrounding air are neglected, the shape of a swirling water bell will, under certain circumstances, be periodic along the axis of rotation. Under ideal conditions, a swirling water bell may thus be infinitely long. However, the experiments show that in reality the length of a swirling water bell will be limited owing to Kelvin-Helmholtz instabilities. Theoretically calculated shapes of swirling water bells are found to agree reasonably well with experimental results.

Type
Research Article
Copyright
© 1979 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

Boussinesq, J. 1869 C.R. Acad. Sci. Paris 69, 45, 128.
Boussinesq, J. 1913 C.R. Acad. Sci. Paris 157, 89.
Dombrowski, N., Hasson, D. & Ward, D. E. 1960 Chem. Engng Sci. 12, 35.
Göring, W. 1959 Z. Elektrochem., Ber. Bunsenges. Phys. Chem. 63, 1069.
Kamke, E. 1959 Differentialgleichungen. Leipzig: Akademische Verlagsgesellschaft.
Kristiansson, L. P. 1975 Swed. Roy. Inst. Tech. Dept. Mech. Tech. Rep. no. 75–1.
Lance, G. N. & Perry, R. L. 1953 Proc. Phys. Soc. B 66, 1067.
Parlange, J. Y. 1967 J. Fluid Mech. 29, 361.
Savart, F. 1833 Ann. Chem. Phys. 54, 55.
Savart, F. 1834 Ann. Chem. Phys. 55, 257.
Stenström, L. 1971 Alfa-Laval Tech. Rep. TF 7102–03.
Taylor, G. I. 1959a Proc. Roy. Soc. A 253, 289.
Taylor, G. I. 1959b Proc. Roy. Soc. A 253, 313.
Wegener, P. P. & Parlange, J.-Y. 1964 Z. Phys. Chem. 43, 245.