A circular fin is made of pure copper with a thermal
conductivity of k = 400 W/(m C), h = 150 W/(m
2
C), mass density r =
8900 kg/m
3
, and specific heat c = 375 J/(kg C). The initial
temperature of the fin is 25 C. The fin length is 2 cm and the diameter is 0.4
cm. The right tip of the fin is insulated. See Figure P16–18. The base of the
fin is then suddenly increased to a temperature of 85 C and maintained at this
temperature. Use the lumped form of the capacitance matrix, a time step of 0.1
s, and b =2 3. Use two elements of equal length. Determine the temperature
distribution up to 3 s. Compare your results with Example 16.7, which used the
consistent form of the capacitance matrix.
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