This might seem like a simple question, but I cannot for the life of me find a solution through google. How long would it take for a hot metal block to reach room temperature? Google only shows examples for water in a container, which is an example of convection. I'm pretty sure this is conduction but I can't say im certain. Lets say the metal is iron (arbitrary, i'm looking to solve this analytically)
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Are you familiar with the heat equation? – user3658307 Jul 24 '17 at 21:10
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The temperature difference between the block and the room approaches zero exponentially never actually getting there. – WW1 Jul 24 '17 at 21:41
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I am familiar with the heat equation. However, I do not have a function to describe how temperature changes across a spatial gradient or how it changes with respect to time. – The Big Cheese Jul 24 '17 at 23:40
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An interesting article here which might be useful. – Jens Jul 25 '17 at 02:32