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Inertial effects on clusters of spheres falling in a viscous fluid

Published online by Cambridge University Press:  28 March 2006

F. P. Bretherton
F. P. Bretherton
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

A compact cluster of 3 to 6 rigid equal spheres is falling under gravity in a viscous liquid. The small effects of intertia on a horizontal regular polygonal configuration are that the polygon expands as it falls and small perturbations from this configuration die out, although when the polygon is large enough it becomes weakly unstable. This is an extension of the analysis of Hocking (1964, which was applied to the experiments of Jayaweera, Mason & Slack (1964).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 20 , Issue 3 , November 1964 , pp. 401 - 410
Copyright
© 1964 Cambridge University Press

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References

Bretherton, F. P. 1962 J. Fluid Mech. 14, 284.
Hocking, L. 1964 J. Fluid Mech. 20, 129.
Jayaweera, K. O. L. F., Mason, B. J. & Slack, G. W. 1964 J. Fluid Mech. 20, 121.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.