Heated Plate Pellet-Circular Ring Conduction

[Jklops686]

I'm looking for some help with a problem I have for a university project.

Here's the problem set up: I have two rings (about 0.2" thick). One is 304 stainless steel and the other is polyurethane. The steel ring is heated up to 290C and then the plastic ring is placed on it. I'm trying to figure out how long it will take the top of the plastic ring to get to a certain temperature. The thing I find difficult is that the hot steel ring is cooling down as the plastic ring is heating up.

What kind of analysis/equations do I use for this? I'm looking to report to my professor and say "the plastic ring surface will not reach 200C until t seconds." or something.

Please help!

 

[IRstuff]

Not a simple calculation, although you can probably reduce it down to a 2D problem. FEA would probably get you a more accurate solution, though.

BTW, student posting is not allowed

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[Jklops686]

Well, it's not like it is a homework problem or anything. It's a project for a real company that paid for us to solve a problem. Thanks

 

[prex]

You do not give many details: length and diameter of the rings, boundary conditions.
If the rings are relatively long cylindrical shells and the temperature distribution and boundary conditions are axisymmetric, then you can easily build a one dimensional model in finite differences in a spreadsheet.

prex
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[IRstuff]

Seems pretty dubious to have accepted payment to solve a problem for which you haven't the tools nor expertise.

TTFN
I can do absolutely anything. I'm an expert!
homework forum: //

http://www.engineering.com/AskForum/aff/32.aspx

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