A proposal for electromagnetic induction heating of molten glass at mains frequencies is mathematically modelled. The proposed assembly consists of an axial excitation winding and a cylindrical vessel containing molten glass with a central metal column, made of molybdenum or molten tin, which acts as an inner magnetic shield. Ohmic heating of the molten glass is considered assuming that this material behaves as a rigid body. The mathematical model assumes an angular excitation magnetic field intensity with a single pair of poles configuration in order to improve the electromagnetic coupling and increase the active power. According to the numerical results, the proposed assembly could be used for induction heating of molten glass at mains frequencies in a workpiece with a practical 2m radius.