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 4, Problem 4.8P

Consider Problem 4.5 for the case where the plate is of square cross section, W = L .
(a)Derive an expression for the shape factor, S max , associated with the maximum top surface temperature, such that q = S max k ( T 2 , max T 1 ) where T 2 , max is the maximum temperature along y = W .
(b)Derive an expression for the shape factor, S a v g , associated with the average top surface temperature, q = S a v g k ( T ¯ 2 T 1 ) where T ¯ 2 is the average temperature along y = W .
(c)Evaluate the shape factors that can be used to determine the maximum and average temperatures along y = W . Evaluate the maximum and average temperatures for T 1 = 0 ° C, L = W = 10 mm, k = 20 W/m K, and q s n = 1000 W/m 2 .

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Chapter 4 Solutions

Fundamentals of Heat and Mass Transfer

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