A sphere of 80 mm diameter (k=50 W/m.K and a=1.5x106 m²/s) is initially at a uniform, elevated temperature, and is quenched in an oil bath maintained at 50 °C. The convection coefficient for the cooling process is 1000 W/m²K. At a certain time, the surface temperature of the sphere is measured to be 200 °C. What is the corresponding center temperature of the sphere?

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 3.33P
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A sphere of 80 mm diameter (k=50 W/m.K and a=1.5x106 m²/s) is initially at a uniform,
elevated temperature, and is quenched in an oil bath maintained at 50 °C. The
convection coefficient for the cooling process is 1000 W/m?K. At a certain time, the
surface temperature of the sphere is measured to be 200 °C. What is the
corresponding center temperature of the sphere?
Transcribed Image Text:A sphere of 80 mm diameter (k=50 W/m.K and a=1.5x106 m²/s) is initially at a uniform, elevated temperature, and is quenched in an oil bath maintained at 50 °C. The convection coefficient for the cooling process is 1000 W/m?K. At a certain time, the surface temperature of the sphere is measured to be 200 °C. What is the corresponding center temperature of the sphere?
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