Heat transfer btw two plates

In summary, the problem at hand involves two plates made of aluminum at different temperatures, with air or another unknown substance in between. The question seeks to understand the relationship between the distance between the plates and the evolution of the temperature of the second plate over time. The relevant equations for heat transfer are the equation of conduction and radiation transfer, though the latter is not given in the problem. To solve the problem, the thermal conductivity of air and the specific separation between the plates are needed. The question remains somewhat unclear, as the thermal conductivity of air is dependent on temperature. However, assuming a thermal conductivity of 0.3 and a desired temperature of 150°C for the second plate, the gap between the plates would need to be determined
  • #1
kubixxx
5
0
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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  • #2
explain your question clearly. you can use radiation transfer too, but relevant info for that is not given in the question.
 
  • #3
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
 
  • #4
value of thermal conductivity of air and the separation between plates is needed to solve the problem. the question is still vague.
 
  • #5
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?
 
  • #6
thermal conductivity depends on temperature? does it?
 
  • #7

What is heat transfer between two plates?

Heat transfer between two plates refers to the movement of thermal energy from one plate to another. This transfer can occur through conduction, convection, or radiation.

What factors affect heat transfer between two plates?

The rate of heat transfer between two plates is affected by several factors, including the temperature difference between the plates, the material and thickness of the plates, and the presence of any insulating materials.

What is the difference between conduction, convection, and radiation?

Conduction is the transfer of heat through direct contact between two objects. Convection is the transfer of heat through the movement of fluids or gases. Radiation is the transfer of heat through electromagnetic waves.

How does heat transfer between two plates impact the surrounding environment?

The transfer of heat between two plates can impact the temperature and climate of the surrounding environment. For example, if one plate is warmer than the other, it can lead to air currents and changes in temperature.

Can heat transfer between two plates be controlled?

Yes, the rate of heat transfer between two plates can be controlled by adjusting the factors that affect it, such as the temperature difference, material, and presence of insulating materials. This is important in many industries and applications, such as in thermal insulation and heat exchangers.

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