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XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder

Published online by Cambridge University Press:  14 February 2012

J. C. Jaeger
Affiliation:
University of Tasmania

Extract

The object of this paper is to give some numerical results for the cooling of the region bounded internally by a circular cylinder, with constant initial temperature, and various boundary conditions at the surface. Problems of this nature are of importance in connection with the cooling of mines, and in various physical questions.

The case of constant surface temperature is discussed in § 2. In § 3 the results are compared with the corresponding ones for the region outside a sphere, and for the semi-infinite solid.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1943

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References

References to Literature

Carslaw, H. S., and Jaeger, J. C, 1940. Proc. London Math. Soc. (2), vol. xlvi, p. 361.CrossRefGoogle Scholar
Goldstein, S., 1932. Proc. London Math. Soc. (2), vol. xxxiv, p. 51.CrossRefGoogle Scholar
Jaeger, J. C, 1941, 1942. Journ. Proc. Roy. Soc. N.S.W., vol. Ixxiv, p. 342; vol. lxxv, p. 130.Google Scholar
Nicholson, J. W., 1921. Proc. Roy. Soc, A, vol. c, p. 226.CrossRefGoogle Scholar
Smith, F. L. P., 1937. Journ. App. Phys., vol. viii, p. 441.CrossRefGoogle Scholar
Titchmarsh, E. C, 1937. Theory of Fourier Integrals.Google Scholar
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