Abstract
A cooling fin attached to a cylinder of circular cross section is considered. We obtain sharp upper and lower estimates for the maximum heat dissipation under the constraint that the total weight of the fin should not exceed a given bound. It is assumed that the boundary of the cylinder has a constant temperature and that Newton's law of cooling holds.
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References
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Communicated by R. Conti
This research was supported by the International Atomic Energy Agency and the United Nations Educational, Scientific, and Cultural Organization, International Center for Theoretical Physics, Miramare, Trieste, Italy.
The author wishes to thank Professor Abdus Salam, the International Atomic Energy Agency, and UNESCO for hospitality at the International Center for Theoretical Physics, Trieste, Italy. Thanks are also due to the University Grants Commission, New Delhi, India, for a travel Grant, and the University of Mysore, Mysore, India, for granting the necessary leave.
On leave of absence from the University of Mysore, Mysore, India.
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Bhargava, S. Sharp dual estimates for conductance of an optimal circular cooling fin. J Optim Theory Appl 19, 565–575 (1976). https://doi.org/10.1007/BF00934655
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DOI: https://doi.org/10.1007/BF00934655