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Heat transfer between two open chambers at different temperatures

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AntoSilv

Mechanical
Feb 27, 2020
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Dear community,

I have two chambers that are separated by a door. One chamber has an initial temperature of 450C and the other 100C. For the sake of simplicity we can assume that both have the same volume (approx. 1 m^3)
If we assume that there isn't a pressure gradient between the two chambers, then we have natural convection between both chambers when the door is opened.

My question: as a function of time, is there any approximate method to estimate the temperature evolution in both chambers?
I went through some heat transfer books but couldn't find anything helpful.

Thank you in advance!
 
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