Hostname: page-component-7c8c6479df-fqc5m Total loading time: 0 Render date: 2024-03-18T07:42:28.086Z Has data issue: false hasContentIssue false

The rise of a body through a rotating fluid in a container of finite length

Published online by Cambridge University Press:  28 March 2006

D. W Moore
Affiliation:
California Institute of Technology, Pasadena, California
P. G. Saffman
Affiliation:
California Institute of Technology, Pasadena, California

Abstract

The drag on an axisymmetric body rising through a rotating fluid of small viscosity rotating about a vertical axis is calculated on the assumption that there is a Taylor column ahead of and behind the body, in which the geostrophic flow is determined by compatibility conditions on the Ekman boundary-layers on the body and the end surfaces. It is assumed that inertia effects may be neglected. Estimates are given of the conditions for which the theory should be valid.

Type
Research Article
Copyright
© 1968 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

Maxworthy, T. 1967 The observed motion of a sphere through a short rotating cylinder of fluid J. Fluid Mech. 31, 643.Google Scholar
Proudman, I. 1956 The almost-rigid rotation of viscous fluid between concentric spheres J. Fluid Mech. 1, 505.Google Scholar
Stewartson, K. 1966 On almost rigid rotations. Part 2 J. Fluid Mech. 26, 131.Google Scholar
Taylor, G. I. 1922 The motion of a sphere in rotating liquid. Proc. Roy. Soc. A 102, 180.Google Scholar