Mathematical Modeling And Analysis Of Temperature Regimes of A Tungsten Strip Under The Action Of A Quasi-Steady Electromagnetic Field
DOI:
https://doi.org/10.15407/fmmit2025.41.038Keywords:
tungsten panel, quasi-steady electromagnetic field, tangential component of the magnetic field intensity vector, Joule heat, temperature, near-surface and in-depth induction heating.Abstract
A physical and mathematical model for determining the specific Joule heat density in a tungsten strip and the temperature field during its induction heat treatment by a quasi-steady electromagnetic field is considered. The initial relations of the two-dimensional initial-boundary value problems of electrodynamics and thermal conductivity for the strip under consideration are formulated. The tangential component of the magnetic field vector and the temperature vector tangent to the strip bases are chosen as the determining functions. Using the Laplace integral transform in time and double integral transforms in the thickness and transverse coordinates, expressions for the tangential component of the magnetic field vector, Joule heat, and temperature are found. The change in temperature over time at characteristic points of the cross section in the transition mode and over the entire cross section of the strip in the steady mode for two types of near-surface and in-depth induction heating by a homogeneous quasi-steady electromagnetic field is numerically analyzed.
References
Asai S. Electromagnetic Processing of Materials. Springer, Netherlands (2012). https://doi.org/10.1007/978-94-007-2645-1
Rudnev, V.; Loveless, D.; Cook, R. Handbook of Induction Heating; CRC Press: London, UK; Taylor and Francis Group: Abingdon, UK, 2018. https://doi.org/10.1201/9781315117485
Bobart, G.F. Induction heating.AccessScience. 2020.
Areitioaurtena, M., Segurajauregi, U., Akujärvi, V. et al.A semi-analytical coupled simulation approach for induction heating. Adv. Model. and Simul. in Eng. Sci. 8, 14 (2021). https://doi.org/10.1186/s40323-021-00199-0
Gantsevich, S.; Gurevich, V. Joule heat release during current flow through a nanowire. Phys. Solid State 2016, 58, 1711-1715. https://doi.org/10.1134/S1063783416080126
Musii, R.; Pukach, P.; Kohut, I.; Vovk; M.; Šlahor, Ľ. Determination and Analysis of Joule's Heat and Temperature in an Electrically Conductive Plate Element Subject to Short-Term Induction Heating by a Non-Stationary Electromagnetic Field. Energies 2022, 15, 525 https://doi.org/10.3390/en15145250
Musii R., Pukach P., Melnyk N., Vovk M., Šlahor L. Modeling of the temperature regimes in a layered bimetallic plate under short-term induction heating // Energies. - 2023. - Vol. 16, iss. 13. https://doi.org/10.3390/en16134980
Musii, R., Klapchuk, M., Goshko, L., Sydorchuk, O., Shayner, H., & Shynder, V. (2023, September). Computer analysis of the thermoelastic behavior of a steel rod with a thin copper coating during pulse electromagnetic action. In 2023 IEEE XXVIII International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) (Vol. 1, pp. 225-228). IEEE. https://doi.org/10.1109/DIPED59408.2023.10269499
