A short brass cylinder (ρ = 8530 kg/m3 , cp = 0.389 kJ/kg-K, k = 110 W/m2·K, and α = 3.39 × 10–5 m2 /s) of diameter 4 cm and height 20 cm is initially at a uniform temperature of 150°C. The cylinder is now placed in atmospheric air at 20°C, where heat transfer takes place by convection with a heat transfer coefficient of 40 W/m2 -K. Calculate (a) the center temperature of the cylinder; (b) the center temperature of the top surface of the cylinder; and (c) the total heat transfer from the cylinder 15 min after the start of the cooling.
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