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Heat Conduction in a Cylinder

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: Tips

Problem Specification

Consider a hollow cylinder of inner radius, r_i=1.75 inches, and outer radius r_o=3.25 inches. The length of the cylinder is 10 feet and the coefficient of heat transfer is 0.04Btu/(h.ftF). The temperature of the the pipe at the inner radius is 400 degrees Fahrenheit and the temperature of the pipe at the outer radius is 80 degrees Fahrenheit. This is illustrated in the figure below.

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Explanation of Axisymmetric Assumption

<iframe width="600" height="360" src="https://www.youtube.com/embed/2FYhzkIGa3I" frameborder="0" allowfullscreen></iframe>

Governing Equation and Boundary Conditions

<iframe width="600" height="360" src="https://www.youtube.com/embed/8Tq_yqUuPBQ" frameborder="0" allowfullscreen></iframe>

Tips for Part B and Part C

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Visualizing the Equivalent 3D Solution

One can visualize the 2D axisymmetric solution in 3D by revolving the 2D solution about the axis. This is not required in the above problem statement but is useful to build physical intuition about axisymmetric models. To learn how to revolve the 2D solution about the axis, go to the bottom of

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