Consider a very long rectangular fin attached to a flat surface such that the temperature at the end of the fin is essentially that of the surrounding air, i.e., 20°C. Its width is 5.0 cm; thickness is 1.0 mm; thermal conductivity is 200 W/m·K; and base temperature is 40°C. The heat transfer coefficient is 20 W/m2·K. Estimate the fin temperature at a distance of 5.0 cm from the base and the rate of heat loss from the entire fin.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 33P: At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air...
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Consider a very long rectangular fin attached to
a flat surface such that the temperature at the end of the fin
is essentially that of the surrounding air, i.e., 20°C. Its width
is 5.0 cm; thickness is 1.0 mm; thermal conductivity is
200 W/m·K; and base temperature is 40°C. The heat transfer
coefficient is 20 W/m2·K. Estimate the fin temperature at a
distance of 5.0 cm from the base and the rate of heat loss from
the entire fin.

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