A thin circular disk is subjected to induction heating from a coil, the effect of which is to provide a uniform heat generation within a ring section as shown. Convection occurs at the upper surface, while the lower surface is well insulated.
(a) Derive the transient, finite-difference equation for node m, which is within the region subjected to induction heating.
(b) On T - r coordinates sketch, in qualitative manner, the steady-state temperature distribution, identifying important features.