Fundamentals of Heat and Mass Transfer
Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 10, Problem 10.38P

A polished copper sphere of 10-mm diameter, initially at a prescribed elevated temperature T i , is quenched in a saturated (1 atm) water bath. Using the lumped capacitance method of Section 5.3.3, estimate the time for the sphere to cool (a) from T i = 130 ° C to 110 ° C and (b) from T i = 550 ° C to 220 ° C . Make use of the average sphere temperatures in evaluating properties. Plot the temperature history for each quenching process.

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7. A long cylindrical nuclear fuel rod has the following steady-state temperature distribution: T(r) = 5001 so0(1-)- + T,, R2 where R is the fuel-rod radius and T, is the surface temperature. T(r) is expressed in kelvins. For a fuel rod with R = 25 mm, T, = 800 K, and thermal conductivity of 40 W/m K, determine both the heat flux at r = R and the heat-transfer rate per unit length of rod, (i.e., Q/L (=] W/m). Plot the temperature distribution. Ts 工

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Fundamentals of Heat and Mass Transfer

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