A tapered aluminum fin (k = 200W/ m-C), shown in Figure
P13–12, has a circular cross section with base diameter of 1 cm and tip
diameter of 0.5 cm. The base is maintained at 200 C and looses heat by
convection to the surroundings at T
x
= 10 C, h = 150W/ m
2
–
C. The tip of the fin is insulated. Assume one-dimensional heat flow and
determine the temperatures at the quarter points along the fin. What is the
rate of heat loss in Watts through each element? Use four elements with an
average cross-sectional area for each element.
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