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This paper aims to deal with the 3D finite element analysis of metallic sheets heating in translating motion through the air gap of an inductor of transverse flux type.

This study presents two finite element based motion coupling techniques used to analyze the transient temperature field of moving metallic sheets heated by induction.

The numerical results obtained by the two different magneto‐thermal – translating motion coupling techniques proposed in this paper are in good agreement with each other being validated also by experimental measurements.

The proposed numerical techniques can be used for the design and optimization of transverse flux induction heating systems.

An original solution to improve the transversal thermal profile of the metallic sheet based on the magnetic shielding is proposed and analyzed. The numerical results of the thermal field are validated by experimental measurements.

The relative motion between the inductor and the work‐piece to be heated, the magnetic non‐linearity and the dependence of physical properties on temperature are considered in the numerical simulations of continuous transverse flux induction heating of metallic sheets and scanning type induction heating of billets. Using the translating air‐gap technique, the transient and the steady state electromagnetic and thermal fields are evaluated.

This paper analyses the conditions for which the results of eddy currents computation in thin regions modelled by surface regions are concordant with those obtained using volume finite elements. The concepts of geometrically thin or thick region, electromagnetically thin or thick region, 2D or 3D problem, transverse or longitudinal flux problem are used to characterise the limits of the surface model. The computation of eddy currents in sheets heated in transverse flux inductors and of the eddy current losses in metallic casing of an induction furnace highlights the surface finite element applicability.

This paper presents a 3D numerical modeling of electromagnetic and thermal fields in three‐phase electric arc furnaces. The thermal effect of the foamy slag is studied in the first part of the paper. The Joule power density is calculated with an AC electromagnetic analysis and is transferred to the steady state thermal problem as heat source. The second part of the paper presents a numerical analysis of new electromagnetic stirring methods.

Analysis and development of a high efficiency, induction heated chemical reactor, medium frequency supplied (1,000‐2,000 Hz), able to be equipped with efficient cooling circuits.

The numerical investigations of the technical solutions proposed in this paper are based on 3D finite element models that are experimentally validated.

Solutions to increase the transparency of the cooling envelope of the reactor tank with respect to magnetic field. The positions of envelope regions characterized by high values of power losses are experimentally confirmed by infrared temperature measurements.

The numerical analysis and the experimental investigations, show the possibility to implement efficient cooling circuits in chemical reactors without affecting the performances of the induction heating process. By designing properly the metallic envelope of the tank the global efficiencies of the chemical reactors increase at around 90 percent with reduced impact on the working environment and with low costs.

This paper proposes an innovative chemical reactor medium frequency induction heated with efficient cooling circuits and with high global efficiency, higher than the actual induction heated chemical reactors.