How can I calculate the temperature of a body between two thermal reservoirs?

  • #1
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If I know the temperatures of the two thermal reservoirs (one hot, one cold), the area of contact between each reservoir and the body, and the coefficients of conduction, it seems like I should be able to calculate the equilibrium temperature of the body, but I can't seem to figure out how.
 

Answers and Replies

  • #3
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Thanks for the tip! I've been looking through that wikipedia page and some information on thermopedia but I'm still a little lost on how I can use that law to determine the temperature of the object
 
  • #4
DrClaude
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You need to figure out the steady state, where heat entering the system from the hot reservoir equals heat leaving the system to the cold reservoir.
 
  • #5
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The temperature is not going to be uniform. It is going to vary monotonically from the high temperature end to the low temperature end.

Chet
 
  • #6
DrClaude
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7,618
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The temperature is not going to be uniform. It is going to vary monotonically from the high temperature end to the low temperature end.

Chet
Right. I should've mentionned that I was assuming internal equilibrium. Otherwise, you need to solve the heat equation.
 

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