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 1, Problem 1.14P
A wall is made from an inhomogeneous (nonuniform)material for which the thermal conductivity variesthrough the thickness according to
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A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according to k = ax + b, where a and b are constants. The heat flux q"q" is known to be constant.
Determine expressions for the temperature gradient and the temperature distribution when the surface at x = 0 is at temperature T1.
Use the following values
a = 11 W/K
b = 25 W/m-K
k = 11x + 25 W/m-K
q"q" = 104 W/m^2
T1 = 60 C
b:- The temperature distribution and boundary condition in part of a solid is shown
below; Determine the temperature at nodes marked 1, 2, 3 and 4, using the matrix
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T-500°C
4
T-100°C
In the design of a certain computer application, a heat flow simulation is required. In the
simulation, the heat conductor, which is of length 10m, has a perfectly insulated surface.
The temperature at both ends of the conductor is kept consistently at zero. The initial
temperature at any point of the conductor is uniform at 25°C.
The 1-dimensional heat equation is given as follows:
for all 0
Chapter 1 Solutions
Fundamentals of Heat and Mass Transfer
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