Determination and analysis of Joule heat and ponderomotive forcein a solid copper cylinder under the action of anelectromagnetic impulse
DOI:
https://doi.org/10.15407/fmmit2025.41.027Keywords:
solid copper cylinder, electromagnetic impulse, axial component of the magnetic field intensity vector, Joule heat, ponderomotive force.Abstract
The initial-boundary problem of electrodynamics for a solid electrically conductive cylinder subjected to an electromagnetic pulse has been formulated. The effect of such a impulse appears in two physical factors – Joule heat and ponderomotive force.For the purpose of determining their expressions, it is first necessary to determine the axial component of the magnetic field intensity vector from the solution of the formulated electrodynamics problem, and then to write down the expressions for the specific heat density of Joule and the ponderomotive force in the cylinder under consideration.The cubic approximation of the distribution of the axial component of the magnetic field intensity vector along the radial variable was used to find the solution to the electrodynamics problem. As a result, the initial boundary value problem for the determinant function is reduced to the Cauchy problem for the time variable for the integral characteristics of the determinant function for the radial variable. The solution of the Cauchy problem is obtained using the Laplace integral transform, and the expressions for the integral characteristics and the axial component of the magnetic field intensity vector are obtained.The expressions for the determinant function, specific heat density of Joule, and ponderomotor force in the cylinder under consideration under the action of an electromagnetic impulse are derived based on the general solutions of the initial boundary value problem obtained under non-stationary electromagnetic action. A numerical analysis was performed of the change over time and distribution along the radius of the cylinder of the axial component of the magnetic field intensity vector and physical factors – Joule heat and ponderomotor force – depending on the duration of the electromagnetic impulse.
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