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Homework Help: Heat Transfer: Heat from junction box to surface

  1. Jun 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Calculate the surface temperature of a stainless steel junction box that is in a 35C ambient temperature environment. There are electrical "boxes" that generate 30W of heat inside of this box.

    2. Relevant equations
    (1) Q_dot_total = Q_dot_conv + Q_dot_rad
    (2) Q_dot_conv = hA(Ts-T)
    (3) Q_rad = εσ(Ts4 - Tsurr4)

    3. The attempt at a solution
    After combining equations 2 and 3 into 1 and solving for Ts, I get a 4th order equation. When entering this equation into a solver, it gives me ridiculously high numbers (like 21000 degrees C). Any help would be appreciated.
  2. jcsd
  3. Jun 26, 2013 #2


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    Staff Emeritus
    Science Advisor
    Homework Helper

    It would help anyone commenting if you could show your work. It might be something like a mistake in arithmetic, or it might be something conceptual.
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