A sphere of 80 mm diameter (k=50 W/m.K and α=1.5x10-6 m2/s) is initially at a uniform, elevated temperature, and is quenched in an oil bath maintained at 30 °C. The convection coefficient for the cooling process is 1100 W/m2K. At a certain time, the surface temperature of the sphere is measured to be 120 °C. What is the corresponding center temperature of the sphere?

A sphere of 80 mm diameter (k=50 W/m.K and α=1.5x10-6 m2/s) is initially at a uniform, elevated temperature, and is quenched in an oil bath maintained at 30 °C. The convection coefficient for the cooling process is 1100 W/m2K. At a certain time, the surface temperature of the sphere is measured to be 120 °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.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.22P

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Question

A sphere of 80 mm diameter (k=50 W/m.K and α=1.5x10^-6 m²/s) is initially at a uniform, elevated temperature, and is quenched in an oil bath maintained at 30 °C. The convection coefficient for the cooling process is 1100 W/m²K. At a certain time, the surface temperature of the sphere is measured to be 120 °C. What is the corresponding center temperature of the sphere?

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