How Can Heat Conduction Be Modeled in a Cylindrical CanSat?

In summary, the conversation discusses a project involving building a small satellite called CanSat, which will be launched with a balloon and descend from an altitude of 35,000 m. The main concern is determining the heat conduction and insulation needed for the project, with a proposed approach using the heat equation in cylindrical coordinates. However, the finite length of the can raises questions about the accuracy of this approach.
  • #1
Logarythmic
281
0
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

[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?
 
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  • #2
It depends on what the details are. Without further information about the specific geometry, this cannot be addressed.
 

FAQ: How Can Heat Conduction Be Modeled in a Cylindrical CanSat?

What is time varying heat conduction?

Time varying heat conduction refers to the transfer of heat through a material that varies with time. This means that the temperature of the material changes over time, leading to changes in the rate of heat transfer.

How does time varying heat conduction differ from steady-state heat conduction?

In steady-state heat conduction, the temperature of the material remains constant over time, resulting in a constant rate of heat transfer. Time varying heat conduction, on the other hand, involves changes in temperature over time, leading to a changing rate of heat transfer.

What are the factors that affect time varying heat conduction?

The main factors that influence time varying heat conduction include the thermal properties of the material (such as thermal conductivity and specific heat), the temperature difference between the two ends of the material, and the duration of the heat transfer process.

What are some real-world applications of time varying heat conduction?

Time varying heat conduction is a crucial concept in understanding heat transfer in various systems, such as cooking, refrigeration, and heating in buildings. It is also essential in understanding the behavior of materials in processes like welding and casting.

How is time varying heat conduction calculated and analyzed?

Time varying heat conduction is typically analyzed using mathematical models and equations, such as the heat equation. These models take into account the material properties, boundary conditions, and initial conditions to determine the temperature distribution over time and the rate of heat transfer.

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