A VARIATIONAL PROBLEM ARISING IN THE DESIGN OF COOLING FINS

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 le...

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Bibliographic Details
Published in:Quarterly of applied mathematics 1976-04, Vol.34 (1), p.1-17
Main Author: BARNES, EARL R.
Format: Article
Language:English
Subjects:
Continuous functions
Cooling fins
Mathematical constants
Mathematical minima
Mathematics
Nonlinear equations
Secant function
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Summary: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 < H and > h.
ISSN:0033-569X
1552-4485
DOI:10.1090/qam/449206