How do you head up a big can of plastic?

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To determine how long it will take for a 1-meter diameter, 1.25-meter long polypropylene cylinder to reach the temperature of a 135-degree heated room, the lumped capacitance model can be applied if the Biot number is within acceptable limits. If the Biot number indicates that the lumped capacitance model is not suitable, more complex models that account for temperature gradients should be used. The initial temperature of the cylinder is 100 degrees Celsius, and it is exposed to moving hot air, which will influence the heat transfer rate. The discussion emphasizes the importance of selecting the appropriate model based on the physical properties of the cylinder and the conditions of the environment. Accurate predictions require careful consideration of these factors.
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I have a cylinder of plastic (polypropylene). It is 1 meter in diameter and 1.25 meters long. It starts out at an even temperature of 100 C throughout. I put it into a 135 deg heated room with lots of air moving around it, and I hold it in the air so that every surface is exposed to the hot air. How long will it take for the plastic cylinder (inside and out) to reach the temperature of the room?
 
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You could start with the lumped capacitance model and see of your Biot number is within limits. If not, you will need some more detailed models that account for the temperature gradient.
 

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