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 the temperature are adopted as the determining functions. Their distributions across the cylinder thickness are approximated using cubic functions, which reduces the original initial-boundary value problems to Cauchy problems formulated in terms of radially averaged characteristics. General solutions of these Cauchy problems under transient electromagnetic excitation are derived using the Laplace transform with respect to time. Closed-form solutions of the original coupled electromagnetic-thermal problem are presented, and a numerical analysis of Joule heat generation and temperature evolution in a copper tubular element is performed. The influence of the duration of electromagnetic excitation with pulsed modulation, the carrier frequency, and the magnetic field intensity on the thermal response is investigated.
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