Joule heat

A physico-mathematical model is developed to investigate the heating process and temperature field in an electroconductive non-ferromagnetic tubular element subjected to an unsteady electromagnetic field.  The model comprises two stages.  First, the transient electromagnetic field induced in the element and the corresponding Joule heat generation are evaluated.  Second, the temperature distribution is obtained from the heat conduction equation with Joule heating treated as a time-dependent volumetric heat source.  The axial component of the magnetic field intensity and

This study introduces a comprehensive physical and mathematical model designed to investigate thermal processes within a solid bimetallic cylindrical rod subjected to an amplitude-modulated radio pulse.  The initial relations for the electrodynamics initial-boundary-value problem of the rod are presented, with the axial component of the magnetic field intensity vector identified as the key determining function.  The problem is addressed by approximating the distributions of this determining function in the constituent cylinders using quadratic polynomials along the radi