A long copper cylinder 0.6 m in diameter and initially at a uniform temperature of 38oC is placed in a water bath at 93oC. Assuming that the heat transfer coefficient between the copper and the water is 1248 W/(m2 * K), calculate the time required to heat the center of the cylinder to 66oC. As a first approximation, neglect the temperature gradient within the cylinder; then repeat your calculation without this simplifying assumption and compare your results.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.22P
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A long copper cylinder 0.6 m in diameter and initially at a uniform temperature of 38oC is placed in a water bath at 93oC. Assuming that the heat transfer coefficient between the copper and the water is 1248 W/(m2 * K), calculate the time required to heat the center of the cylinder to 66oC. As a first approximation, neglect the temperature gradient within the cylinder; then repeat your calculation without this simplifying assumption and compare your results.
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