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Heat Conduction in Hollow Cylinders with Radiation

Published online by Cambridge University Press:  20 January 2009

E. Marchi  and
G. Zgrablich
E. Marchi
Affiliation:
Facultad de Ciencias, U.N.C., San Luis, Argentina
G. Zgrablich
Affiliation:
Facultad de Ciencias, U.N.C., San Luis, Argentina
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Abstract

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A new finite integral transformation (an extension of those given by Sneddon (1)), whose kernel is given by cylindrical functions, is used to solve the problem of finding the temperature at any point of a hollow cylinder of any height, with boundary conditions of radiation type on the outside and inside surfaces, with independent radiation constants. It is to be noticed that all possible problems on boundary conditions in hollow cylinders can be solved by particularising the method described here.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 2 , December 1964 , pp. 159 - 164
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

REFERENCES

(1)Sneddon, I., Fourier Transforms (McGraw-Hill, 1951).Google Scholar
(2)Watson, G. N., A Treatise on the Theory of Bessel Functions (Macmillan, 1948).Google Scholar