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

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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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