Heat Equation for Cylinder Wire Problem

[member 428835]

The flux balance is wrong because it implicitly assumes that all the heat generation takes place between r = 0 and radial location r, and none of the heat is generated between r and r_i.

Chet

ahh yes, this makes sense! so, if we were to look at the flux at some $r > r_i$ would we be able to use the flux argument?

 

[Chestermiller]

ahh yes, this makes sense! so, if we were to look at the flux at some $r > r_i$ would we be able to use the flux argument?

r > r₁ is outside the wire. We don't know what's happening out there, do we?

Chet

 

[member 428835]

r > r₁ is outside the wire. We don't know what's happening out there, do we?

Chet

sorry, I'm speaking in hypotheticals. and yea, if it was the same material but no heat generation.

 

[Chestermiller]

sorry, I'm speaking in hypotheticals. and yea, if it was the same material but no heat generation.

Then it would be OK.

Chet

 

[member 428835]

Then it would be OK.

Chet

Thanks chet!