Heat flux trough non-homogeneous bar

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SUMMARY

The discussion centers on the heat flux through a non-homogeneous bar with thermal conductivities k1 and k2 at two different temperatures. It is established that one can approximate the heat flux as if it were passing through a homogeneous bar with a weighted mean conductivity of k1 and k2. However, the configuration of the bar—whether the thermal conductivities are in series or parallel—must be clarified to fully validate this approximation.

PREREQUISITES
  • Understanding of thermal conductivity concepts
  • Knowledge of heat transfer principles
  • Familiarity with series and parallel thermal systems
  • Basic mathematical skills for calculating weighted averages
NEXT STEPS
  • Research the principles of heat conduction in non-homogeneous materials
  • Study the mathematical derivation of weighted mean thermal conductivity
  • Explore the differences between series and parallel thermal systems
  • Learn about thermal resistance in composite materials
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Thermal engineers, materials scientists, and students studying heat transfer principles will benefit from this discussion.

AbreuEE
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When you have the both sides of a non-homogeneous bar with thermal conductivities k1 and k2 in contact to 2 different temperatures, can you consider it the same as if there was some flux going through a homogeneous bar with the weighted mean of k1 and k2 as the conductivity?
 
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AbreuEE said:
When you have the both sides of a non-homogeneous bar with thermal conductivities k1 and k2 in contact to 2 different temperatures, can you consider it the same as if there was some flux going through a homogeneous bar with the weighted mean of k1 and k2 as the conductivity?
Yes, but you haven't told us whether they are in series or on parallel.
 

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