A short brass cylinder (ρ = 8530 kg/m3, cp = 0.389 kJ/kg·K, k= 110 W/m·K, and a = 3.39 × 10−5 m2/s) of diameter 8 cm and height 15 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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