Fundamentals of Heat and Mass Transfer
Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 10, Problem 10.27P

A small copper sphere, initially at a uniform, elevated temperature T ( 0 ) = T i , is suddenly immersed in a large fluid bath maintained at T sat . The initial temperature of the sphere exceeds the Leidenfrost point corresponding to the temperature T D of Figure 10.4.

(a) Sketch the variation of the average sphere temperature, T ¯ ( t ) , with time during the quenching process. Indicate on this sketch the temperatures T i , T D , and T sat as well as the regimes of film, transition, and nucleate boiling and the regime Of single-phase convection. Identify key features of the temperature history.

(b) At what time(s) in this cooling process do you expect the surface temperature of the sphere to deviate most from its center temperature? Explain your answer.

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Fundamentals of Heat and Mass Transfer

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