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On the Motion of a Rotating Circular Cylinder filled with Viscous Fluid

Published online by Cambridge University Press:  24 October 2008

A. F. Crossley
A. F. Crossley
Affiliation:
St John's College
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Extract

The solution for an infinite cylinder filled with viscous fluid, rotating about its axis under the action of a constant couple, has already been obtained by the present writer by the operational method of Heaviside and Bromwich, and previously by other means by T. H. Havelock.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 4 , October 1928 , pp. 480 - 488
Copyright
Copyright © Cambridge Philosophical Society 1928

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References

* These Proceedings, vol. 24, part 2, 1928, p. 234.Google Scholar

† Phil. Mag., vol. 42, 11. 1921, p. 620.CrossRefGoogle Scholar

* These and other formulae used here concerning Bessel functions are all to be found in the standard works on the subject, e.g. Gray, , Mathews, and MacRobert, , Bessel Functions.Google Scholar

* See Jeffreys, H., “Operational Methods in Mathematical Physics“ (Cambridge Tracts, No. 23, 1927), pp. 61, 62.Google Scholar