Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Further observations on a problem of constant surface heating of a variable-conductivity halfspace

Author: Leonard Y. Cooper
Journal: Quart. Appl. Math. 29 (1971), 375-389
DOI: https://doi.org/10.1090/qam/99756
MathSciNet review: QAM99756
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Abstract | References | Additional Information

Abstract: A solution to the problem of constant surface heating of an initially constant-temperature, $ T_0^*$, halfspace where the material in question has a temperature-dependent thermal conductivity is obtained. The thermal conductivity, $ {k^ * }$, is specifically given by $ {k^ * } = k_0^ * \exp \left[ {\lambda \left( {{T^ * } - T_0^ * } \right)/T_0^ * } \right]$. The solution is valid for both heating and cooling of the material where $ \lambda $ and $ k_0^ * $ are arbitrary in magnitude, and $ \lambda $ can be either positive or negative in sign.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/99756
Article copyright: © Copyright 1971 American Mathematical Society

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