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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.
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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 .

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

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References

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