Steady state temperature in a circular bar with heat generation
Hi. I want to find the temperature at the center of a circular bar.
 Infinite length, or finite length with no end effects or axial heat flow
 Outside surface maintained at a fixed temperature
 Heat generated uniformly throughout the material
 Ignoring temperature dependence of material properties
This could represent a current carrying wire submerged in flowing water.
It's not homework. My attempt to solve it is using finite element analysis (FEA). But I want to confirm the result with a hand calculation. Also some quick formula or calculator would be fine. The actual numbers used don't really matter because I can adjust the FEA model to suit.
