Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



A variational problem arising in the design of cooling fins

Author: Earl R. Barnes
Journal: Quart. Appl. Math. 34 (1976), 1-17
MSC: Primary 80.49
DOI: https://doi.org/10.1090/qam/449206
MathSciNet review: 449206
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Abstract: The efficiency of a cooling fin of given weight is measured by the amount of heat dissipated per unit time by the fin. It is known that the efficiency of a given fin can be altered by changing the shape of the fin. In this paper we determine the shape of the most efficient fin of given weight and length, and thickness $ \le H$ and $ \ge h$.

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DOI: https://doi.org/10.1090/qam/449206
Article copyright: © Copyright 1976 American Mathematical Society

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