The Simulation of the Pulsed Magnetic Field Penetration into Electroconducting Medium with the Gradient of Magnetic Field Diffusion Coefficient

V.T. Chemerys 1, cand. of techn. science, I.O. Borodiy 2
1 V.I. Vernadsky Taurida National University of Ukraine
(Ukraine, 01042, Kyiv, 31 John MacCane Street,
tel. (063) 4897772, e-mail: Ця електронна адреса захищена від спам-ботів. Вам необхідно увімкнути JavaScript, щоб побачити її.);
2 National Aviation University of Ukraine
(Ukraine, 03680, Kyiv, 1 Cosmonaut Komarov Avenue,
tel. (044) 4067840, e-mail: Ця електронна адреса захищена від спам-ботів. Вам необхідно увімкнути JavaScript, щоб побачити її.)

Èlektron. model. 2022, 44(2):26-37


The goal of this paper is to consider the pulsed magnetic field penetration into the metal with pre-created non-uniform distribution of electrical conductivity coefficient (in more general case – coefficient of magnetic diffusion) as the smooth function along one or two coordinate axes. Similar situation can be created in the process of metal sample manufacturing with a purpose to supply him the special properties. The preliminary theoretical analysis has been resulted a derivation of magnetic induction equation taking into account a presence of gradient for magnetic diffusion coefficient of medium and  motion of medium. Equation is presented in non-dimensional form with obtaining of specific criterion of similarity which is equal to ratio of characteristic velocity of the field diffusion to the  basic value of medium motion velocity. For the numerical analysis of process diffusion the software FlexPDE-7.20 has been chosen due to simple ability to introduce the gradient of the field diffusion coefficient into system of the field equations as pre-defined function of coordinates. The simulation model was looking as rectangular metal plate with pulsed excitation of field along one side. On the base of results of 1D and 2D simulation the authors demonstrate the set of specific properties of the field diffusion into the plate at growing or damping diffusion coefficient. There are considered also the influence of the metal plate motion on the process of the field diffusion, in particular effects of the field compression or decompression and capture of field by moving medium.


magnetic diffusion coefficient, two-component gradient, plane model, pulsed field, non-dimensional analysis, numerical solution


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CHEMERYS Volodymyr Terentiyovych, cand. of sciences, senior researcher, Life member of IEEE, associate professor in Department of Automatic Control of Technological Processes at V.I. Vernadsky Taurida National University of Ukraine in Kyiv. Graduated the Kyiv Polytechnical Institute (KPI) in 1962. Area of scientific researches is the pulsed electromechanical energy conversion and physics of the pulsed electrodynamic systems.

BORODIY Iren Oleksiivna, teacher of physics, assistant of professor in Department of Physics at National Aviation University of Ukraine in Kyiv. Graduated M.P. Dragomanov National Pedagogical University (Kyiv) in 2001. Area of scientific research is the electromagnetic processes in the power elements of pulsed technology.

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