How Does Temperature Change Over Time Between Two Aluminum Plates?

AI Thread Summary
The discussion revolves around calculating the temperature change over time between two aluminum plates, one heated to 230°C and the other at 30°C. The user seeks guidance on using the conduction equation and whether it is applicable with air as the medium between the plates. They aim to determine the necessary gap between the plates to achieve a target temperature of 150°C for the second plate. Participants suggest that thermal conductivity values, which depend on temperature, are crucial for solving the problem. The conversation emphasizes the need for clarity in the question and relevant parameters to provide a comprehensive solution.
kubixxx
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Hi, I have an easy problem for you I think but I'm not a specialist in thermo problems.
Here is my problem.

Homework Statement



2 plates in aluminum, one at T1=230°C and the other one at T2=30°C. In between, some air or something else (I don’t know yet).

Homework Equations



Equation of conduction but I don't really understand how to use it... Is it the only one to use?

The Attempt at a Solution



So I would like to know what would be the evolution of T2 depending of the time and the distance btw the two plates.

Thx in advance for your help!
Max
 
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explain your question clearly. you can use radiation transfer too, but relevant info for that is not given in the question.
 
Hi,

Ok sorry, I do it again.

I have a heating element which warm up a plate of aluminium to 230°C. Then I have a other plate of aluminum I want to heat up to a different temperature. So I would like to find the gap between the two plates I need to reach my temperature for the 2nd plate (If I suppose that I have only air in between and the needed temperature is about half of T1).

That's the only informations I have. I don't ask you to give me the answer but to give me what I need to resolve the problem. As I said before, I got the conduction equation but I not even sure that it's relevant with air...

Thanks for your help!
Max
 
value of thermal conductivity of air and the separation between plates is needed to solve the problem. the question is still vague.
 
As the thermal conductivty depends of the temperature, I would just just 0.3 for this value. The gap is what I want to define if I want to get a temperature T2 of 150°C...
What equation(s) should I use then?
 
thermal conductivity depends on temperature? does it?
 

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