Mass, m, with initial temperature, Tmi, is flowing along the z axis. The mass enters a right circular cylinder at the plane x=0. The cylinder is centered and oriented on the z axis (which is to the right). The cylinder's length is h and radius is r. The outside temperature of the cylinder is maintained at To.(adsbygoogle = window.adsbygoogle || []).push({});

As the mass exits the cylinder, the temperature at the center of the mass is Tme.

Find the function, T(r,z), that represents the temperature as a function of the radius and distance along the cylinder.

Given the heat equation:

[tex] \frac{1 \partial }{r \partial{r}} \left(r \frac{\partial{T}} {\partial {r}} \right) + \frac{\partial{T^2}}{\partial {z^2}} = \frac{1}{\alpha} \frac{\partial {T}}{\partial {t}} [/tex]

and material properties:

c = specific heat

k = thermal conductivity

[tex]\alpha = [/tex] a constant

Any comments on how to attack this problem?

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# Thermodyanamic Problem

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