How Can Heat Conduction Be Modeled in a Cylindrical CanSat?

AI Thread Summary
The discussion centers on a project involving a CanSat, a small satellite designed to be launched with a balloon from 35,000 meters. The main challenge is determining the adequacy of insulation through heat conduction analysis. The heat equation in cylindrical coordinates is being considered, but concerns arise regarding its applicability due to the finite length of the can. Participants emphasize that further details about the specific geometry are crucial for accurately addressing the heat conduction problem. Effective insulation is essential for the CanSat's performance during descent.
Logarythmic
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Hey everyone!

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

\frac{\partial^2 T}{\partial r^2} + \frac{1}{r} \frac{\partial T}{\partial r} = \frac{1}{\alpha} \frac{\partial T}{\partial t}

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?
 
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It depends on what the details are. Without further information about the specific geometry, this cannot be addressed.
 
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