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The Temperature Distribution in a Semi-Infinite Solid whose Surface is Maintained at an Arbitrary Temperature

Published online by Cambridge University Press:  20 January 2009

H. LL. D. Pugh
Affiliation:
National Engineering Research Laboratory, East Kilbride
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1. The problem discussed is the temperature distribution in a semi-infinite solid, initially at zero, when the surface is suddenly raised to and maintained at a temperature which is an arbitrary function of the distance from some line which lies in that surface.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

REFERENCES

(1)Carslaw, H. S. and Jaeger, J. C., Operational methods in applied mathematics (Oxford University Press, 1941).Google Scholar
(2)Whittaker, E. T. and Watson, G. N., Modern Analysis, 4th ed. (Cambridge University Press, 1927), p. 74.Google Scholar