Research of thermal processes in a solid bimetallic cylinder under the action of an unsteady electromagnetic field

2025;
: pp. 355–361
https://doi.org/10.23939/mmc2025.01.355
Received: June 19, 2024
Accepted: March 26, 2025

Musii R., Kunynets A., Klapchuk M., Sai I., Guk L., Svidrak I., Ivasyk H.  Research of thermal processes in a solid bimetallic cylinder under the action of an unsteady electromagnetic field.  Mathematical Modeling and Computing. Vol. 12, No. 1, pp. 355–361 (2025)       

1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University
6
Lviv Polytechnic National University
7
Lviv Polytechnic National University

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 radial coordinate.  The paper outlines the expression for the axial component of the magnetic field intensity vector and Joule heat in the constituent cylinders of the solid bimetallic rod under the influence of an amplitude-modulated radio pulse.  Numerical analysis is then employed to investigate the time variation and radial coordinate distribution of these factors within the constituent cylinders of the bimetallic rod.