Hostname: page-component-7f64f4797f-zzvtc Total loading time: 0 Render date: 2025-11-03T23:49:36.260Z Has data issue: false hasContentIssue false
  • English
  • Français

A slow fluid motion between two spheres

Published online by Cambridge University Press:  26 February 2010

K. B. Ranger
K. B. Ranger
Affiliation:
Department of Mathematics, University of Toronto, Toronto 5, Canada.
Get access

Extract

A slow steady motion of incompressible viscous liquid in the space between two fixed concentric spherical boundaries is considered. The motion arises from two point-sources of strengths ±2m at arbitrary points A, B on the outer sphere r = a. The velocity is calculated as the vector sum of the velocities in two simpler motions in each of which there is an axis of symmetry so that a stream function can be used. The force exerted by the liquid on the inner boundary r = b is similarly the resultant of two forces, each passing through the common centre of the spheres; it can be simply expressed in terms of a, b, m and the vector .

Information

Type
Research Article
Information
Mathematika , Volume 9 , Issue 1 , June 1962 , pp. 83 - 87
Copyright
Copyright © University College London 1962

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.)

Article purchase

Temporarily unavailable

References

1. Rayleigh, Lord, Scientific Papers, vol. 4, 78–93.Google Scholar
2. Stimson, M. and Jeffrey, G. B., Proc. Royal Soc. (A), 111 (1926), 110–116.Google Scholar
3. Butler, S. F. J., Proc. Cambridge Phil. Soc., 49 (1953), 169–174.CrossRefGoogle Scholar