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Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating

Author

Listed:
  • Roman Musii

    (Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, Ukraine)

  • Petro Pukach

    (Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, Ukraine)

  • Nataliia Melnyk

    (Institute of Computer Sciences and Information Technologies, Lviv Polytechnic National University, 79013 Lviv, Ukraine)

  • Myroslava Vovk

    (Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, Ukraine)

  • L’udomír Šlahor

    (Faculty of Management, Comenius University Bratislava, 82005 Bratislava, Slovakia)

Abstract

A mathematical model for determining the temperature field of a bimetallic plate with plane-parallel boundaries during short-term induction heating by a non-stationary electromagnetic field is proposed. Initial boundary value problems for determining the parameters of a non-stationary electromagnetic field and temperature are formulated. The temperature and the component of the magnetic field intensity vector that is tangential to the plate base were selected as defining functions. We used an approximation of the defining functions in each layer of the plate with quadratic polynomials by the thickness coordinate and Laplace transform of the integral over time. General solutions to the formulated problems under uniform non-stationary electromagnetic action were obtained. Based on them, the temperature during short-term induction heating by a non-stationary electromagnetic field was numerically analyzed depending on its amplitude-frequency parameters and duration.

Suggested Citation

  • Roman Musii & Petro Pukach & Nataliia Melnyk & Myroslava Vovk & L’udomír Šlahor, 2023. "Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating," Energies, MDPI, vol. 16(13), pages 1-12, June.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:13:p:4980-:d:1180434
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    References listed on IDEAS

    as
    1. Jerzy Barglik & Adrian Smagór & Albert Smalcerz & Debela Geneti Desisa, 2021. "Induction Heating of Gear Wheels in Consecutive Contour Hardening Process," Energies, MDPI, vol. 14(13), pages 1-14, June.
    2. Roman Musii & Petro Pukach & Ihor Kohut & Myroslava Vovk & Ľudomír Šlahor, 2022. "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, MDPI, vol. 15(14), pages 1-11, July.
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    Cited by:

    1. Roman Musii & Marek Lis & Petro Pukach & Andriy Chaban & Andrzej Szafraniec & Myroslava Vovk & Nataliia Melnyk, 2024. "Analysis of Varying Temperature Regimes in a Conductive Strip during Induction Heating under a Quasi-Steady Electromagnetic Field," Energies, MDPI, vol. 17(2), pages 1-17, January.

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