How Do I Calculate Heat Transfer by Conduction Using Thermal Conductivity?

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SUMMARY

The discussion focuses on calculating heat transfer by conduction using thermal conductivity, specifically for a copper rod. Participants confirm that the thermal conductivity of pure copper is 401 W/mK, which is essential for solving the problem. The conversation highlights that the question may lack sufficient information, suggesting that a data table typically provided in textbooks could be necessary for accurate calculations. Users recommend looking up the thermal conductivity or expressing answers in terms of the conductivity constant, kCu.

PREREQUISITES
  • Understanding of heat transfer principles
  • Familiarity with thermal conductivity concepts
  • Knowledge of copper's thermal properties
  • Ability to interpret data tables for material properties
NEXT STEPS
  • Research the thermal conductivity values of various materials
  • Learn how to use thermal conductivity in heat transfer equations
  • Explore the derivation of Fourier's law of heat conduction
  • Investigate the use of data sheets in engineering problems
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Students studying thermodynamics, engineers working with thermal systems, and anyone involved in material science or heat transfer calculations.

Bolter
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Homework Statement
Working out rate of heat transfer
Relevant Equations
fourier's law
Can anyone please guide me in what I'm missing to answer part b)i?

I can't seem to work out the thermal conductivity (k) in order to find the heat transfer by conduction? Or is the different approach that I must take to do this question?

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Thanks for any help!
 
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They tell you the rod is made of copper.
 
Cutter Ketch said:
They tell you the rod is made of copper.

Ok right. But does the question expect of me to know copper's thermal conductivity? Or is there a way to calculate this from knowing that the material we're dealing with is copper?

I looked up on wikipedia in a table that the thermal conductivity of pure copper is 401 W/mk
 
Bolter said:
Ok right. But does the question expect of me to know copper's thermal conductivity?
If the question is from a textbook, you may find that they include one or more tables in the back of the book...
 
gneill said:
If the question is from a textbook, you may find that they include one or more tables in the back of the book...

No it's a practice question that my teacher has set me. So I'm unsure if I have to look up a data table or not. I'll ask my teacher about it.

But there isn't enough information in the question to even work out thermal conductivity right?
 
Bolter said:
But there isn't enough information in the question to even work out thermal conductivity right?
Correct.
 
gneill said:
Correct.

Ok noted. I believe this was an old past exam question that my teacher gave. So quite possibly it should have come with a data sheet that I wasn't given here but was given in the exam.
 
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Why don't you just Google the thermal conductivity of copper. Is there a federal law against that?
 
Or, express the answers in terms of the conductivity ##k_{Cu}##, and then numerically, with a note
"based on ##k_{Cu} = 4 \frac {watt} {cm-K}## "
 

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