It sounds from your description of the problem that a transient analysis may be most appropriate. "X" W/m2 for 1 sec = "Y" Joules "Y" Joules is proportional to "Z" delta Celcius using the specific heat of the material). If your initial state is a 700F temperature at one end and a room temperature state at the other, you'll have to determine the amount of heat energy transferred for a given time interval and step through time (i.e. ![]() ![]() You need to factor in heat energy transferred vs time to your discrete parts. Of course, things become more complicated when the problem becomes transient. Excel would even work fine, although I think that Octave/Matlab is more suited for providing an accurate answer (I suppose that you could write an Excel macro and do just as well). By discretizing the problem in, say, Octave or Matlab, you should be able to calculate the temperature distribution with Newtonian cooling, radiation loss to ambient, and Fourier's law for each discrete section. ![]() ![]() The steady state solution is pretty straightforward: You have a fixed temperature boundary and convective and radiation losses along the rod. It sounds like you're thinking more along the lines of a transient type of problem than a steady-state type of problem: is that accurate? Whenever time becomes a variable, things obviously get more complicated.
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