A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a uniform temperature of 600°C. The shaft is then allowed to cool slowly in an environment at 200°C with an average heat transfer coefficient of h = 80 W/m²-K. Determine [a] the temperature at the center of the shaft and [b] the temperature of the outer surface of the shaft 45 minutes after the start of the cooling

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.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.60P: 1.60 Two electric resistance heaters with a 20 cm length and a 2 cm diameter are inserted into a...
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A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a
uniform temperature of 600°C. The shaft is then allowed to cool slowly in an environment
at 200°C with an average heat transfer coefficient of h = 80 W/m².K. Determine [a] the
temperature at the center of the shaft and [b] the temperature of the outer surface of the
shaft 45 minutes after the start of the cooling
Given:
Find:
Schematic:
Assume:
Property Data:
k= 14.9 W/m°C
p= 7900 kg/m³
Cp = 477 J/kg:K
a= 3.95 x 10-6 m²/s
Transcribed Image Text:A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a uniform temperature of 600°C. The shaft is then allowed to cool slowly in an environment at 200°C with an average heat transfer coefficient of h = 80 W/m².K. Determine [a] the temperature at the center of the shaft and [b] the temperature of the outer surface of the shaft 45 minutes after the start of the cooling Given: Find: Schematic: Assume: Property Data: k= 14.9 W/m°C p= 7900 kg/m³ Cp = 477 J/kg:K a= 3.95 x 10-6 m²/s
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