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A long 50-cm diameter cylindrical shaft (k = 15 W/m·K, p= 7900 kg/m², C, = 477 J/kg-K) comes out of an oven at a uniform temperature of 400°C. The shaft is then allowed to cool in a chamber at 50°C with a convection heat transfer coefficient of 120 W/m2-K. Determine the time for the surface temperature to cool to 120°C. What is the center temperature at this time?

A long 50-cm diameter cylindrical shaft (k = 15 W/m·K, p= 7900 kg/m², C, = 477 J/kg-K) comes out of an oven at a uniform temperature of 400°C. The shaft is then allowed to cool in a chamber at 50°C with a convection heat transfer coefficient of 120 W/m2-K. Determine the time for the surface temperature to cool to 120°C. What is the center temperature at this time?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Figure F.5 Center temperature history for an infinite cylinder. Cylinder 1.0 0.8 k M = hx1 0.4 25 100 90. 0.2 18 3.5 3.0 20 80 0.1 16 0.08 0.04 0.02 II 0.01 0.08 0.004 130 150 200 300 350 90 110 0.002 50 70 26 30 22 4 6 8 12 14 16 18 20 0.001 X = at/x3 35 -0.6 2. O 00 Y. = (Te – T)/(To – T»)
Transcribed Image Text:Figure F.5 Center temperature history for an infinite cylinder. Cylinder 1.0 0.8 k M = hx1 0.4 25 100 90. 0.2 18 3.5 3.0 20 80 0.1 16 0.08 0.04 0.02 II 0.01 0.08 0.004 130 150 200 300 350 90 110 0.002 50 70 26 30 22 4 6 8 12 14 16 18 20 0.001 X = at/x3 35 -0.6 2. O 00 Y. = (Te – T)/(To – T»)
A long 50-cm diameter cylindrical shaft (k = 15 W/m K, p = 7900 kg/m³, C, = 477 J/kg-K) comes out of an oven at a uniform temperature of 400°C. The shaft is then allowed to cool in a chamber at 50°C with a convection heat transfer coefficient of 120 W/m2-K. Determine the time for the surface temperature to cool to 120°C. What is the center temperature at this time?
Transcribed Image Text:A long 50-cm diameter cylindrical shaft (k = 15 W/m K, p = 7900 kg/m³, C, = 477 J/kg-K) comes out of an oven at a uniform temperature of 400°C. The shaft is then allowed to cool in a chamber at 50°C with a convection heat transfer coefficient of 120 W/m2-K. Determine the time for the surface temperature to cool to 120°C. What is the center temperature at this time?
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