Simple Explaination of Temperature Difference

In summary: The heat flow is directly proportional to the surface area, directly proportional to the temperature difference, and indirectly proportional to the thickness.
  • #1
recreated
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This is not a homework question but a simple equation I want to make clear.

If temperature of gas on one side of a thin wall with negligible thickness is 20 decs c and on the other is 0 degs c how do you determine the temp. of the wall? Is it possible or do you need more information about the material of the wall?

Thank you,
 
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  • #2
You need to define the properties of the wall, most basically the conduction coefficient and thickness.
 
  • #3
The wall is not the problem. The temperature gradient within a wall should follow be a linear relationship from one wall edge to the edge for a homogenous material and of suitable thickness.

But since your wall is thin, you could make a simple assumption that the wall temperature to be even across its width. You would also assume the temperature of the wall to be halfway between the two gas temperatures, and that the convection ( which it would be in most cases ) on either side is the predominate factor in determination of the heat flow.

If the amount of heat transfer by convection ( coeficient ) on either side of of wall is not the same, then the wall temperature will lean to towards the temperature of the hotter gas or the cooler gas.

Radiation could also be a factor if one side of the wall is facing a surface of different temperature than your gas. Your wall temperature could actually then be higher or lower than either temperature(s) of your gas(es).
 
  • #4
Thanks for both your help.

256bits, I know it is a simple assumption to make that the wall temp. is half way between t1 and t2, but what theory is it based on do you know? As I want to read more into it and find it hard to find where to start.
 
  • #5
Fourier Law of Heat Conduction is linear.

See
http://www.chemeurope.com/en/encyclopedia/Heat_conduction.html
for the formula
For conduction, the heat flow is directly proportional to the surface area, directly proportional to the temperature difference, and indirectly proportional to the thickness.

Is that what you ask?
 
  • #6
Yes, that has cleared it up for me thank you very much.
 

What is temperature difference?

Temperature difference is the measure of the degree of variation between two temperatures. It is the difference between the hottest and coldest temperatures in a given area or system.

What causes temperature difference?

Temperature difference is caused by different factors such as geographic location, altitude, time of day, season, and weather patterns. These factors affect the amount of heat absorbed or released by the earth's surface, resulting in temperature differences.

How is temperature difference measured?

Temperature difference is measured using a thermometer, which is a device that records the temperature of a particular area or system. The difference can be calculated by subtracting the temperature recorded at one location from the temperature recorded at another location.

Why is temperature difference important?

Temperature difference is important because it affects various processes and systems in our daily lives. It influences the movement of air and water, which in turn affects weather patterns, agriculture, and wildlife. It also plays a crucial role in determining the distribution of heat on earth.

How can temperature difference be reduced?

Temperature difference can be reduced by implementing strategies to mitigate climate change, such as reducing greenhouse gas emissions and promoting renewable energy sources. Additionally, individual actions such as conserving energy and reducing waste can also help reduce temperature differences in a small scale.

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