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

  1. Nov 7, 2014 #1
    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.
     
  2. jcsd
  3. Nov 7, 2014 #2

    DrClaude

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    Staff: Mentor

  4. Nov 7, 2014 #3
    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
     
  5. Nov 7, 2014 #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.
     
  6. Nov 7, 2014 #5
    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
     
  7. Nov 7, 2014 #6

    DrClaude

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