Heat transfer between two cylinders

sriram123

Imagine two cylinders in which one cylinder in within another.(Please refer attachment)

The annular space between the two cylinders is filled with air.

The outer cylinder is provided with a substantially large cut out

The inner cylinder is maintained at a temperature say 200 deg c

I know that for the inner cylinder,the convection and radiation will be the modes of heat transfer.

My question is how can i find the temperature rise of inner surface of outer cylinder.

Also how to find the increase in ambient temperature due to the convection and radiation from the cut out.

This is to improve my conceptual understanding.Actually this kind of heat transfer happens in vulcanization moulds.

Attached Thumbnails

     

sriram123

Is my question unclear ?

nasu

Why do you neglect the transfer through conduction? I mean, through that base plate.
Just curious.
I don't think you can find some analytical solution for this. You can use finite element analysis.