How Can Heat Conduction Be Modeled in a Cylindrical CanSat?

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SUMMARY

The discussion focuses on modeling heat conduction in a cylindrical CanSat using the heat equation in cylindrical coordinates. The equation presented is \(\frac{\partial^2 T}{\partial r^2} + \frac{1}{r} \frac{\partial T}{\partial r} = \frac{1}{\alpha} \frac{\partial T}{\partial t}\), which is appropriate for analyzing temperature distribution. However, the finite length of the can introduces complexities that require additional geometric details for accurate modeling. Participants emphasize the necessity of specifying the can's dimensions and insulation properties to refine the heat conduction analysis.

PREREQUISITES
  • Understanding of the heat equation in cylindrical coordinates
  • Knowledge of thermal conductivity and insulation materials
  • Familiarity with finite element analysis (FEA) techniques
  • Basic principles of thermodynamics and heat transfer
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  • Research finite element analysis (FEA) software for thermal modeling
  • Learn about boundary conditions in heat conduction problems
  • Explore thermal insulation materials and their properties
  • Study advanced heat transfer concepts in cylindrical geometries
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Engineers, thermal analysts, and students involved in aerospace projects, particularly those working on satellite design and thermal management systems.

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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