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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A circular fin is made of pure copper with a thermal conductivity of k = 400 W/(m °C), h = 150 W/(m2 °C), mass density ρ = 8900 kg/m3, 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 ß =
. 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.

Example 16.7
A circular fin (Figure 16–23) is made of pure copper with a thermal conductivity of Kxx = 400 W/(m °C), h = 150 W/(m2 °C), mass density ρ = 8900 kg/m3, and specific heat c = 375 J/(kg °C) (1 J = 1 W s). 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. The base of the fin is then suddenly increased to a temperature of 85 °C and maintained at this temperature. Use the consistent form of the capacitance matrix, a time step of 0.1 s, and β =
Use two elements of equal length. Determine the temperature distribution up to 3 s. SO

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