Journal
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER
Volume 30, Issue 1, Pages 89-93Publisher
AMER INST AERONAUTICS ASTRONAUTICS
DOI: 10.2514/1.T4555
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In this paper, the heating process in fin problems of engineering interest is revisited with a target to work out analytical solutions representing the thermal diffusion in a variety of radial fin shapes. The difficulty arisen due to the strong nonlinearity when the physical properties are temperature-dependent and given by power laws is tackled, and explicit expressions for the fin base heat-transfer rate, fin tip temperature, and fin efficiency are obtained. Taking into account these three effects, the optimal radial fin shape is decided, which is of most physical interest.
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