Hi everyone,
I am currently trying to model the heating of a cylinder by a gaussian heat source using a three-dimensional heat equation with the aim to find the steady state temperature distribution (see image below)
Given that I have radiative boundary conditions, I cannot have fixed boundary conditions for this problem, making it non-linear. Since I have my heat source incident on one surface only, I feel like I need a way to break up my boundary conditions over different domains (ie ds(1), ds(2) etc).
How can this be done in a non-linear situation like this?
Any help would be appreciated