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Conduction of heat in a solid with periodic boundary conditions, with an application to the surface temperature of the moon

Published online by Cambridge University Press:  24 October 2008

J. C. Jaeger
J. C. Jaeger
Affiliation:
The Australian National UniversityCanberra
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Extract

The object of this note is to indicate a numerical method for finding periodic solutions of a number of important problems in conduction of heat in which the boundary conditions are periodic in the time and may be linear or non-linear. One example is that of a circular cylinder which is heated by friction along the generators through a rotating arc of its circumference, the remainder of the surface being kept at constant temperature; here the boundary conditions are linear but mixed. Another example, which will be discussed in detail below, is that of the variation of the surface temperature of the moon during a lunation; in this case the boundary condition is non-linear. In all cases the thermal properties of the solid will be assumed to be independent of temperature. Only the semi-infinite solid will be considered here, though the method applies equally well to other cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 355 - 359
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Carslaw, H. S. and Jaeger, J. C.Operational methods in applied mathematics, 2nd ed. (Oxford, 1948), § 129.Google Scholar
(2)Pettit, E. and Nicholson, S. B.Astrophys. J. 71 (1930), 102.CrossRefGoogle Scholar
(3)Piddington, J. H. and Minnett, H. C.Aust. J. sci. Res. A, 2 (1949), 63.Google Scholar
(4)Waidelich, D. L.Proc. Inst. Radio Engrs, N.Y., 34 (1946), 78P.Google Scholar
(5)Wesselink, A. J.Bull. astr. Insts Netherlds, 10 (1948), 351.Google Scholar