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# Heat Conduction for Temperature Distribution and Heat Flux

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An artificial satellite in space has a panel attached to it with dimensions 20m X 25m X 3m. The panel is made of Carbon steel with a carbon content of 1.5%. In the temperature range of interest, the value of the thermal conductivity is k = 36 W/(m-°C). The panel has an artificial heating source applied to it causing it to have a constant energy generation = 4 W/m3. One side of the panel is measured as 3° C (x=0) and the other side of the panel is at 17.5° C (x=3m).

1. Write the heat conduction equation for this case.
2. Using the boundary conditions, find the integration constants (C1 and C2).
3. What is the temperature distribution across the width of the satellite panel?
4. What is the temperature in the center of the width of the panel?
5. What is the heat flux anywhere in the panel?
6. What is the value of the heat flux on each side of the panel (at x=0 and at x=3)?

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#### Solution Preview

http://www.space.com/missionlaunches/sts112_update_021014.html
Panel released in space by NASA

www-d0.fnal.gov/~diehl/Public/snap/meetings/diehl_cm_mar-29-2003.ppt
Satellite with panel design

An artificial satellite in space has a panel attached to it with dimensions 20m X 25m X 3m. The panel is made of Carbon steel with a carbon content of 1.5%. In the temperature range of interest, the value of the thermal conductivity is k = 36 ...

#### Solution Summary

The steps for solving this heat conduction of a satellite panel are described, related equations given, and solutions provided. Details are given that can be used to solve related heat conduction equation problems. This solution contains a document in pdf and word format.

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