How to calculate the temperature of an insulated heat emitting body?

[tonyjeffs]

How would I calculate the temperature of a theoretical heat-emitting
body wrapped in insulation? If the temperature difference across
the insulation layer is D, is there a linear relationship between D
and the thickness of insulation; or is it more complicated than that?



Thanks
tony

 

[FredGarvin]

If this is a pipe and you want a quick and dirty answer without getting into heat transfer, take a quick look here:

http://www.engineeringtoolbox.com/heat-loss-insulated-pipes-d_1151.html

 

[tonyjeffs]

If this is a pipe and you want a quick and dirty answer without getting into heat transfer, take a quick look here:

http://www.engineeringtoolbox.com/heat-loss-insulated-pipes-d_1151.html

Hi Fred
I was wondering about the insulating effect of the atmosphere on the earth, hence the question.

The graphs of pipe insulation are interesting but puzzling. It looks like the temperature difference across the insulation is proportional to the log of heat loss. I don't understand why it's the log rather than a simple relationship.

It's a long time since I've studied physics.
I found this equation somewhere else for heat conduction, which makes sense to me, but doesn't seem to apply to the pipe insulation.
H = kA (T2 - T1)/L (H=joules/sec; A=area T=temp L=distance)

Thanks
Tony