Rework Problems using a computer program. Problems A circular fin is made of pure c...

Rework Problems using a computer program.

Problems

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 . 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.