Radial to Planar Heat Conduction
Radial to Planar Heat Conduction
(OP)
I've been doing some research on the subject and have had difficulty finding sources to back up my math. I'm modeling an item, simplified I drew it out as a pipe through a wall. I want to know how energy generated from the inside of the pipe affects the outside of the wall.
So imagine a cross-section of an infinite long wall with a set thickness, I assume infinite will be easier to solve, now put a pipe in the wall, so that the cross section of the pipe is a circle, aka the pipe coming out at you. I want to know the thermal resistance across the set up. Assuming you know the dimensions and materials of the set up along with T_1inf and T_2inf.
The only documentation I have found to detail the relationship is a chapter from a book explaining how radiant floor heating works. I mostly want to get another source to confirm the math listed here, and to better apply it to my need.
http://www.intechopen.com/books/developments-in-he...
Is cosh the proper function to model the relationship? is there a chart listing similar scenarios out there?
Thank you.
So imagine a cross-section of an infinite long wall with a set thickness, I assume infinite will be easier to solve, now put a pipe in the wall, so that the cross section of the pipe is a circle, aka the pipe coming out at you. I want to know the thermal resistance across the set up. Assuming you know the dimensions and materials of the set up along with T_1inf and T_2inf.
The only documentation I have found to detail the relationship is a chapter from a book explaining how radiant floor heating works. I mostly want to get another source to confirm the math listed here, and to better apply it to my need.
http://www.intechopen.com/books/developments-in-he...
Is cosh the proper function to model the relationship? is there a chart listing similar scenarios out there?
Thank you.





RE: Radial to Planar Heat Conduction
TTFN

FAQ731-376: Eng-Tips.com Forum Policies
Need help writing a question or understanding a reply? forum1529: Translation Assistance for Engineers
RE: Radial to Planar Heat Conduction
How do I find the conduction of the "wall" part, not the pipe wall, but the wall that encompasses the pipe. It may be easier to break up the resistance into two parts, if all is symmetrical, from half way out to the wall's surface.
RE: Radial to Planar Heat Conduction
If this is a problem involving the wall reemitting the heat after conduction via the pipe, then the problem is NOY what you found in your literature search.
The problem I have is I think you are telling us about a pipe perpendicular to a wall and not explaining how you think you can heat an infinite wall whose thermal boundaries are not defined.
A drawing would be most helpful here.
RE: Radial to Planar Heat Conduction
Thank you,
Ethan.
RE: Radial to Planar Heat Conduction
TTFN

FAQ731-376: Eng-Tips.com Forum Policies
Need help writing a question or understanding a reply? forum1529: Translation Assistance for Engineers
RE: Radial to Planar Heat Conduction
I'm willing to search further if you can point me in a better direction, but I have spent a good deal of time looking for a solution and not found any online calculators.
What would be a good search term to find these resources? or what book could I reference to find a sample problem?
Thank you,
Ethan.
RE: Radial to Planar Heat Conduction
http://www.mhtl.uwaterloo.ca/spreading/sq_edge.htm...
TTFN

FAQ731-376: Eng-Tips.com Forum Policies
Need help writing a question or understanding a reply? forum1529: Translation Assistance for Engineers
RE: Radial to Planar Heat Conduction
http://www.mhtlab.uwaterloo.ca/pdf_papers/mhtl09-1...
TTFN

FAQ731-376: Eng-Tips.com Forum Policies
Need help writing a question or understanding a reply? forum1529: Translation Assistance for Engineers
RE: Radial to Planar Heat Conduction
Having trouble opening that file.
IIf you can, plse send it another way.
RE: Radial to Planar Heat Conduction
The second link, the pdf, should lead me to the equations I'm looking for. I'll have to read it a few times to get fully understand it, but it looks like what I am looking for. I'll try to update with my results.