Analysis of thermal regimes of an aluminium plate under the action of a quasi-steady electromagneticfield

Abstract

A two-dimensional initial-boundary problem of electrodynamics for an aluminium plate under the action of a quasi-steady electromagnetic field has been formulated. The defining function is chosen as the component of the magnetic field intensity vector tangent to the plate base. The action of a quasi-steady electromagnetic field causes the emergence of Joule heat sources in it. These sources create certain thermal regimes of the plate under appropriate parameters of electromagnetic action. The solution of the electrodynamics problem was found using finite integral transformations in terms of the thickness and transverse coordinates of the rectangle of the plate cross-section and Laplace integral transformations in terms of time. A numerical analysis of Joule heat was performed for two characteristic cases of surface and continuous induction heating by a quasi-steady electromagnetic field. The time variation of Joule heat in the transient mode and its distribution across the cross section of the plate in the steady state of the electromagnetic field are analysed.