Heat Transfer: Heat from junction box to surface

AI Thread Summary
The discussion focuses on calculating the surface temperature of a stainless steel junction box in a 35°C environment, which contains electrical components generating 30W of heat. The user attempts to combine heat transfer equations for convection and radiation but ends up with an unreasonably high temperature result of 21,000°C. They seek assistance in identifying potential arithmetic or conceptual errors in their calculations. The problem highlights the importance of correctly applying heat transfer principles to avoid unrealistic outcomes. Clarification on the equations and their application is requested to resolve the issue.
Paosy27
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Homework Statement


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.


Homework Equations


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


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.
 
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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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