Concept explainers
Assume steady-state, one-dimensional heat conduction through the axisymmetric shape shown below.
Assuming constant properties and no internal heat generation, sketch the temperature distribution on
To sketch: The temperature distribution on T-x coordinates and explain the shape.
Explanation of Solution
Draw the axisymmetric shape as shown below:
Write the expression as per Fourier law.
Here,
Since the heat transfer through the body remains constant and thermal conductivity of the body remains constant, the Fourier law can be explained as:
The above expression indicated that temperature and thickness is inversely proportional to one another.
On T-x curve the independent variable is x and the dependent variable is T .
Draw the T-x curve for axisymmetric shape as shown below:
The T-xcurve for axisymmetric shape is shown above and the slope
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Chapter 2 Solutions
Fundamentals of Heat and Mass Transfer