How Can I Calculate the Heat Transfer for a Probe in a Belt-Furnace?

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SUMMARY

The discussion focuses on calculating heat transfer for a probe in a belt-furnace, specifically addressing the heat flux experienced by the probe as it moves through varying temperature stages. The user seeks to understand the components of heat transfer, namely conduction and radiation, and how to apply the formula Q = Qconduction + Qradiation. Key variables include the thermal conductivity (k), surface temperatures (T1 and T2), and the distance (x) over which heat transfer occurs. The goal is to select appropriate materials for the probe based on its ability to withstand high temperatures, potentially reaching up to 1200 degrees Celsius.

PREREQUISITES
  • Understanding of heat transfer principles, including conduction and radiation.
  • Familiarity with thermodynamic equations, specifically Q = k (T1 - T2) / x.
  • Basic knowledge of material properties related to high-temperature applications.
  • Proficiency in using Excel for calculations and data analysis.
NEXT STEPS
  • Research the calculation of heat flux in varying temperature environments.
  • Learn about thermal conductivity of materials suitable for high-temperature applications.
  • Explore methods for measuring and modeling heat transfer in industrial furnaces.
  • Investigate the impact of probe material selection on thermal performance and durability.
USEFUL FOR

Engineers, materials scientists, and thermal analysts involved in designing probes for high-temperature applications in industrial furnaces.

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Hi, I need help tackling this problem and I wanted help since I feel lost.

I have a probe running through a belt-furnace that has multiple stages for heating, I know the temperature of the oven at any given time (in minutes), the oven takes 8 hours and the Temperature profile looks like this:
http://img844.imageshack.us/img844/9382/capturexyg.png
http://img844.imageshack.us/img844/9382/capturexyg.png

I have to make a probe that can withstand that amount of heat, the part where I get lost is that I don't know how (or what) to calculate?

like if I want to get the Heat transfer from the oven to the probe how do I do that? (to see if it will melt) I know it should be
Q= Qconduction + Qradiation
(I am assuming conduction instead of convection, since the probe will be moving very slowly and therefore can treat the air as still)

I know the surface temperature of the probe as it enters (room temperature). should I get
over 400 Q's and add them up? (I can use excel) or should I get some average temperature? and get Q based on that?
If I use Qconduction = k T1-T2/x
what is T1 and T2? (I can assume they are the surface temperature and furnace temperature, but this will be changing over time), and what about x? is it the distance from where to where? I mean the whole furnace is at whatever temperature, so how do I find the heat transferred to the probe?
 
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Why do you want to know the temperature of the probe. Does it not get up to 1200 degrees? Shouldn't the probe temperature be very close to the immediate surrounding temperature within the furnace (otherwise, why are you using a probe).
 
Chestermiller said:
Why do you want to know the temperature of the probe. Does it not get up to 1200 degrees? Shouldn't the probe temperature be very close to the immediate surrounding temperature within the furnace (otherwise, why are you using a probe).

its not the temperature, I want to know the heat, yes at some point the probe would get to 1200 degrees, but the point of this problem is to select materials , what I want ot know is the HEAT FLUX
how do I calculate it?
 

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