Consider the plane wall of Figure 3.1, separating hot andcold fluids at temperatures
The temperature distribution within the wall and the heat flux.
Answer to Problem 3.1P
The temperature distribution:
The heat flux:
Explanation of Solution
Given information:
Temperature of hot fluid is
Temperature of cold fluid is
Figure of the plane wall:
Calculations:
From the general solution of the heat diffusion equation:
Substituting in equation (1), the temperature distribution is:
Now find the heat flux using the fourier’s law:
Conclusion: The temperature distribution within the wall is
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Chapter 3 Solutions
Introduction to Heat Transfer
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