Heat Transfer: Heat from junction box to surface

In summary, the task is to calculate the surface temperature of a stainless steel junction box in a 35C ambient temperature environment with electrical boxes generating 30W of heat inside. By combining equations 2 and 3, a 4th order equation is obtained for Ts. However, when solved, it results in a very high temperature of 21000 degrees C. Assistance is requested to identify any potential mistakes or conceptual errors.
  • #1
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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  • #2
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.
 

What is heat transfer?

Heat transfer is the process by which thermal energy is transferred from one body or system to another. It can occur through three mechanisms: conduction, convection, and radiation.

What is a junction box?

A junction box is an electrical enclosure that contains electrical connections, such as wires or cables. It is used to protect and insulate these connections, as well as to provide a safe and organized location for them.

How does heat transfer from a junction box to a surface?

Heat transfer from a junction box to a surface typically occurs through conduction. This means that the thermal energy is transferred through direct contact between the junction box and the surface.

Why is heat transfer from a junction box to a surface important?

Heat transfer from a junction box to a surface is important because it can affect the performance and safety of electrical components. Excessive heat transfer can cause damage to the junction box and surrounding materials, and can also lead to overheating and potential fire hazards.

What are some ways to reduce heat transfer from a junction box to a surface?

Some ways to reduce heat transfer from a junction box to a surface include using insulating materials, increasing ventilation around the junction box, and ensuring proper installation and spacing between the junction box and surface. It is also important to regularly monitor and maintain the junction box to prevent any potential issues.

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