How Does Temperature Change Over Time Between Two Aluminum Plates?

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Homework Help Overview

The discussion revolves around the thermal interaction between two aluminum plates, one heated to 230°C and the other at 30°C, with a medium (air) in between. The original poster seeks to understand how the temperature of the second plate evolves over time and distance from the first plate, while also questioning the relevance of the conduction equation in this context.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the need for additional information, such as the thermal conductivity of air and the separation distance between the plates. There is uncertainty about the applicability of the conduction equation and whether radiation transfer should also be considered.

Discussion Status

Some participants have provided guidance on the need for specific values and clarified that the problem remains vague. The original poster has expressed a desire for direction on how to approach the problem without seeking a direct answer.

Contextual Notes

There is mention of the thermal conductivity of air being temperature-dependent, and the original poster has suggested a specific value for calculations. The lack of explicit details regarding the setup and conditions is acknowledged.

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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