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Heated Plate Pellet-Circular Ring Conduction

Heated Plate Pellet-Circular Ring Conduction

Heated Plate Pellet-Circular Ring Conduction

(OP)
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!

RE: Heated Plate Pellet-Circular Ring Conduction

(OP)
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

RE: Heated Plate Pellet-Circular Ring Conduction

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.

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