My initial thought was that I could simply use the basic heat equation by taking the average gradient. The problem is that the temperature gradient is nonlinear.
Furthermore, does the equation not only relate to steady state conditions?
Anyway, I am dealing purely with conduction if that...
I'm looking at project investigating thermal dissiplation around circular and square concrete piles, resting in a homogeneous material (soil) using two-dimensional finite element analysis.
I'm applying a transient thermal loading cycle to the centre of the concrete pile over a 7-day test...