I have the following 3d heat transfer problem:
Horizontal aluminium plate partially covered by a thermal insulator at the upper and lower surface. The uncovered parts act as heat sinks by convection and radiation. The three edges are thermally insulated one edge is heated, where as the power of the heat varies with time. I would like to know the temperature distribution of the uncovered areas as a function of time.
Question: Is this problem solvable with the pde toolbox of Matlab?