Hi
so I am trying to find the analytic solution for the steady state temperature distribution of a 2D plate which has an elliptic inclusion. Both the plate and the inclusion have constant conductivity.
The left boundary is at T1, the right one is at T2 and the top and bottom boundaries are insulated.
I have found a way to do it for a circular inclusion but I am really stuck when it comes to solving it for an arbitrary oriented elliptic inclusion. Plus my method is not very elegant so I am really looking for a more general one. Any ideas?
so I am trying to find the analytic solution for the steady state temperature distribution of a 2D plate which has an elliptic inclusion. Both the plate and the inclusion have constant conductivity.
The left boundary is at T1, the right one is at T2 and the top and bottom boundaries are insulated.
I have found a way to do it for a circular inclusion but I am really stuck when it comes to solving it for an arbitrary oriented elliptic inclusion. Plus my method is not very elegant so I am really looking for a more general one. Any ideas?