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I am currently on a project building a small CanSat. This is a small satellite of the size of a coke can which will be launched together with a balloon and then descend from an altitude of 35 000 m.

My problem now is to work out the heat conduction to see if our insulation is enough. How is the best way to do this? I'm looking at the heat equation in cylindrical coordinates

[tex]\frac{\partial^2 T}{\partial r^2} + \frac{1}{r} \frac{\partial T}{\partial r} = \frac{1}{\alpha} \frac{\partial T}{\partial t}[/tex]

but I'm not sure this is the right approach since the length of the can is finite.

Anyone having an idea how to do this?