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Transient heat flow from a thin circular disk — small-time solution

Published online by Cambridge University Press:  09 April 2009

J. H. Blackwell
J. H. Blackwell
Affiliation:
Department of Applied MathematicsUniversity of Western OntarioCanada
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Summary

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In a previous paper [1] an approximate analytical solution, useful for large times, was obtained for the transient heat flow from a thin circular disk held at constant temperature and immersed in an infinite medium. In the present work a first approximation has been found for the complementary “small-time” solution and the details of this solution examined. Some numerical calculations are included.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 4 , December 1972 , pp. 433 - 442
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Norminton, E. J. and Blackwell, J. H., ‘Transient heat flow from constant temperature spheroids and the thin circular disk’, Quart. J. of Mech. and App. Math. 17, pt. 1, (1964), 65–72.CrossRefGoogle Scholar
[2]Carslaw, H. S. and Jaeger, J. C., Operational methods in Applied Mathematics, 2nd ed. (Oxford University Press, London, 1948), 276–279.Google Scholar
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[4]van Dyke, M., Perturbation Methods in Fluid Mechanics. (Academic Press, New York, 1964).Google Scholar
[5]Erdélyi, A., Magnus, W., Oberhettinger, F.. and Tricomi, F. G., Tables of Integral Transforms, Vol. II, (McGraw-Hill, New York, 1954), 175.Google Scholar
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