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9.—Circular Disc between Two Parallel Planes Close Together

Published online by Cambridge University Press:  14 February 2012

J. C. Cooke
J. C. Cooke
Affiliation:
Deal, Kent
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Synopsis

The two basic problems solved here are (1) a disc charged to a uniform potential placed between two earthed planes parallel to its plane, each a small distance h from the disc, (2) the space filled with viscous fluid and the disc slowly rotating uniformly about its axis with the planes held at rest. The total charge or turning moment are calculated as series in powers of h, giving four terms in each case. An approximate method devised by Maxwell [5] is shown to have three terms correct in both cases.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 149 - 161
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

1Leppington, F. and Levine, H., Proc. Cambridge Philos. Soc, 68, 235, 1970.CrossRefGoogle Scholar
2Tranter, C. J., Quart. J. Mech. Appl. Math., 3, 411, 1950.CrossRefGoogle Scholar
3Cooke, J. C., Quart. J. Mech. Appl. Math., 9, 103, 1956.CrossRefGoogle Scholar
4Shaw, Susann J. N., Phys. Fluids, 13, 1935, 1970.CrossRefGoogle Scholar
5Maxwell, J. C., Philos. Trans. Roy. Soc. London Ser. A, 156, 249, 1866.Google Scholar
6Cooke, J. C., Z. Angew. Math. Mech., 38, 349, 1958.CrossRefGoogle Scholar