A long 35 cm diameter cylinder made of stainless steel 304 (k = 14.9 W/mo C, r = 7900 kg/m3 , Cp = 477 J/kgo C and a = 3.95´10-6 m2 /s) comes out of an oven at a uniform temperature of 400o C. The cylinder is then allowed to cool slowly in a chamber at 150o C with average convection heat transfer coefficient of h = 60 W/m2oC. Determine the temperature at the center of the cylinder 20 min after the start of the cooling process. Also, determine the heat transfer per unit length of the cylinder during this time period.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.12P
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A long 35 cm diameter cylinder made of stainless steel 304 (k = 14.9 W/mo C, r = 7900 kg/m3 , Cp = 477 J/kgo C and a = 3.95´10-6 m2 /s) comes out of an oven at a uniform temperature of 400o C. The cylinder is then allowed to cool slowly in a chamber at 150o C with average convection heat transfer coefficient of h = 60 W/m2oC. Determine the temperature at the center of the cylinder 20 min after the start of the cooling process. Also, determine the heat transfer per unit length of the cylinder during this time period.

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