Converting Thermal Conductivity to Thermal Conduction/Resistance

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Discussion Overview

The discussion revolves around the conversion of thermal conductivity to thermal conductance, focusing on the appropriate use of units and the mathematical relationships involved. Participants explore the implications of length and cross-sectional area in this conversion, addressing both theoretical and practical aspects.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant, Hamza, seeks clarification on converting thermal conductivity (units: W/(m.K)) to thermal conductance (units: W/K), specifically questioning whether multiplying by the length of the wire suffices.
  • Another participant suggests that multiplying by the length is correct, emphasizing reliance on the units.
  • A different viewpoint argues that the conversion requires multiplying by the cross-sectional area and dividing by the length, noting that conductance decreases with increased length and increases with larger area.
  • This same participant acknowledges a misunderstanding regarding the nature of thermal conductivity, clarifying that it pertains to the material rather than the wire itself.

Areas of Agreement / Disagreement

Participants express differing views on the correct method for converting thermal conductivity to thermal conductance, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight the importance of understanding the relationships between thermal conductivity, conductance, length, and cross-sectional area, but do not fully resolve the mathematical steps involved in the conversion.

hamzaaaa
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Hi all

I want to convert thermal conductivity to thermal conductance. The problem is with the units.

for thermal conductivity the units are [W/(m.K)] and for thermal conductance the units are [W/K]

For E.g for copper thermal conductivity is 400[W/m.K]
how can I convert it to thermal conductance?Can it be simply by multiplying it my the length of the copper wire I am using?

Any help with be really appreciated.

Thanks and Regards
Hamza
 
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Hi Hamza! :smile:
hamzaaaa said:
for thermal conductivity the units are [W/(m.K)] and for thermal conductance the units are [W/K]

For E.g for copper thermal conductivity is 400[W/m.K]
how can I convert it to thermal conductance?Can it be simply by multiplying it my the length of the copper wire I am using?

Yup!

You can always rely on the units …

just multiply by the length (in metres) …

"/m" means exactly what it says :biggrin:
 
hmm.. I think you need to multiply by the cross-sectional area and then divide by the length. The conductance should decrease with increased length and increase with larger area.

Consider if you add a second wire of equal size. You would expect the conductance to increase by a factor of 2 (and resistance drop by a factor of 2).
 
oops!

davidrit said:
hmm.. I think you need to multiply by the cross-sectional area and then divide by the length. The conductance should decrease with increased length and increase with larger area.

Consider if you add a second wire of equal size. You would expect the conductance to increase by a factor of 2 (and resistance drop by a factor of 2).

oops! :redface: davidrit :smile: is right!

(I thought the thermal conductivity was of the wire, but I see now it's of the material … see http://en.wikipedia.org/wiki/Thermal_conductivity)
 
Thanks all...
very much appreciated.
I have a further query now which I have posted separately.

hxxp://www.physicsforums.com/showthread.php?t=330491
 

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