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Heat through a semiinfinity solid 
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#1
Nov1212, 09:37 AM

P: 12

Hi there!
I run into a situation where I can't go on. It's about a thermal analysis, I already made a simulation using Ansys but I also want an approach made "by hand". In order to simplify the case I made this example: We have a metallic bar inside the soil. The bar is at 100ºC and the soil at 20ºC. Check the attached picture. Once we stick the bar on the ground I understand there is a gradient of temperature radially in the soil, from 100ºC (perfect contact, Point A) to 20ºC (Point B). I know all the heat goes by conduction according to: q = 2 π k (ti  to) / ln(ro / ri), but I don't know the distance. My two questions are: 1) where does the gradient in the soil stops? what's the distance up to the 20ºC? Where is the point B located? (ok, these are 3 questions, but it's always the same!) 2) How long does it take to the point A to get back to 20ºC? We neglect the superficial conditions (convection, radiation) We know all the material properties Thank you regards, 


#2
Nov1312, 05:21 PM

P: 83




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