Analytic modeling of electrothermal interaction of surface progressive heating by electromagnetic induction

In this paper is presented the analytic mathematical modeling of surface progressive heating by electromagnetic induction process. For solving the coupled problem of electromagnetic field and heat transfer, it has been used the images method that ensure the boundary conditions on two media with different electromagnetic proprieties. The solutions of the performed equations of electromagnetic field and heat transfer are presented in details by taking into account several assumptions. Numerical simulations developed for a case of surface heating of a steel cylinder confirm the obtained results. The approach developed on the paper allows appreciating the qualitative influence of different factors from the mathematic solution of the process, which leads to changes in the magnitude and slope of curve of temperature.