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The unsteady motion of a small sphere in a viscous liquid

Published online by Cambridge University Press:  28 March 2006

J. R. Ockendon
J. R. Ockendon
Affiliation:
St Catherine's College, Oxford
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Abstract

The drag experienced by a sphere moving with velocity dependent on a single time scale t0 in an unbounded viscous liquid is considered under the assumption that the Reynolds number is small. It is shown that, unless t0 is sufficiently large, an asymptotic expansion in the Reynolds number becomes invalid for large times. Moreover, when the expansion is valid for large times, the drag can differ considerably from that predicted by the unsteady Stokes equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 2 , 12 November 1968 , pp. 229 - 239
Copyright
© 1968 Cambridge University Press

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References

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