Application of asymptotic expansions to model two-dimensional induction heating systems. Part II: calculation of equivalent surface stresses and heat flux

In Part I, we analyzed the skin distribution of a radio-frequency alternating magnetic field generated in the vicinity of electrically conducting components in planar and axisymmetric configurations by means of a matched asymptotic expansion technique. Since the electromagnetic field can penetrate only into a thin magnetic skin located beneath the surface inside the conductors, the generated heat and stresses are concentrated in this region. If the skin depth is relatively small, equivalent stresses and heat flux-to be imposed at the conductor surface-can be calculated from the expansions obtained in Part I by solving the Navier-Stokes and energy equations with asymptotic expansions and applying an adapted evaluation technique.