heat emitting body; insulation calculation - how to do it?



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Topic: Science > Physics
User: "tonyjeffs"
Date: 02 Jun 2007 05:12:42 AM
Object: heat emitting body; insulation calculation - how to do it?
How would I calculate the temperature of a theoretical heat-emitting
body wrapped in insulation? If the temperature difference accross
the insulation layer is D, is there a linear relationship between D
and the thickness of insulation?
Thanks
tony
.

User: "CWatters"

Title: Re: heat emitting body; insulation calculation - how to do it? 02 Jun 2007 04:45:25 PM
"tonyjeffs" <8usenet@tonyjeffs.com> wrote in message
news:1180779162.286151.253870@w5g2000hsg.googlegroups.com...

How would I calculate the temperature of a theoretical heat-emitting
body wrapped in insulation? If the temperature difference accross
the insulation layer is D, is there a linear relationship between D
and the thickness of insulation?

Usually. At least if D is much less that the radius of the object.
If you know the thermal conductivity of the insulation in (called the U
value in Europe or R value in the USA) then it's easy. Just check the units.
.

User: "Eric Gisse"

Title: Re: heat emitting body; insulation calculation - how to do it? 02 Jun 2007 03:12:10 PM
On Jun 2, 3:12 am, tonyjeffs <8use...@tonyjeffs.com> wrote:

How would I calculate the temperature of a theoretical heat-emitting
body wrapped in insulation? If the temperature difference accross
the insulation layer is D, is there a linear relationship between D
and the thickness of insulation?

Thanks
tony

Well...the heat equation is a /linear/ PDE, but that may not be what
you meant by linear.
http://en.wikipedia.org/wiki/Heat_equation
http://en.wikipedia.org/wiki/Heat_conduction
.

User: "Andy Resnick"

Title: Re: heat emitting body; insulation calculation - how to do it? 04 Jun 2007 08:46:10 AM
tonyjeffs wrote:

How would I calculate the temperature of a theoretical heat-emitting
body wrapped in insulation? If the temperature difference accross
the insulation layer is D, is there a linear relationship between D
and the thickness of insulation?

You need to be more specific- the temperature of *what* or *where*. The
heat-producing body? Somewhere in the interior of the insulation? On the
surface of the insulation? The ambient temperature some distance away
from the insulation-wrapped object?
Also, are you thinking steady-state conditions (constant heat source),
or a time-dependent problem?
As for the second question, IIRC, the answer is no.
--
Andrew Resnick, Ph.D.
Department of Physiology and Biophysics
Case Western Reserve University
.


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