Transient Temperature Distribution in Round and Slab-Type Loads Heated by Electric Induction

Equations are derived for the transient temperature distribution in a round or slab-type load with a radiation boundary condition, as required for a thermal analysis of large steel sections heated for forging, by electric induction. The load is assumed to be initially at a uniform temperature and then has heat generated in it by the induction process. Initial distribution curves of the derived transient corrections are compared with the steady-state induced thermal wave shapes that would exist at various heating frequencies if not dampened by the transient correction.