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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Textbook Question
Chapter 2, Problem 2.39P
One-dimensional, steady-state conduction with no energy generation is occurring in a spherical shell of inner radius
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Assume steady-state, one-dimensional heat conduction through the symmetric shape shown in Figure 1. Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1 - x), T(x) = 300(1 - 2x - x3), and q = 6000 W, where A is in square meters, T in kelvins, and x in meters. Consider x= 0 and 1.
Assume steady-state, one-dimensional heat conduction through the symmetric shape shown in Figure 1.Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1 -x), T(x) = 300(1 - 2x -3x),and q = 6000 W, where A is in square meters, T in Kelvin’s, and x in meters. Consider x= 0 and 1.
2. Consider one-dimensional transient heat conduction in a plane wall with thickness L and
constant properties. The boundary and initial conditions are given in Figure 2, and are constants.
There is no heat generation within the wall. Find the temperature, T(x,t), within the wall
t=0, T=T,
q" = 0
Chapter 2 Solutions
Fundamentals of Heat and Mass Transfer
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