Heat Transfer from a vertical tube.

[daveward3737]

I have a vertical pipe with the source of heat being the bottom of the pipe (the temperature at the base is approx. 1079 degrees F). The tube contains air that has no movement. The ambient temperature is less than the temperature at the base of the pipe (approx. 100 degrees F).
Disregaurding radiation from the tube, how can I find how far up the pipe I have to go to get to 200 degrees F on its surface (considering conduction and convection)? How can I set this problem up to be solved? Thank You.

 

[ELM]

If You know the heat transfer coefficient h(W/m2K) and thermal conductivity k(W/mK)then you can find out the length using Nusselt's equation.