A short brass cylinder (r = 8530 kg/m3, cp =0.389 kJ/kg·K, k = 110 W/m·K, and a 5 *.39 3 1025 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.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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A short brass cylinder (r = 8530 kg/m3, cp =0.389 kJ/kg·K, k = 110 W/m·K, and a 5 *.39 3 1025 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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