IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i14p5250-d866997.html
   My bibliography  Save this article

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

Author

Listed:
  • Roman Musii

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

  • Petro Pukach

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

  • Ihor Kohut

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

  • Myroslava Vovk

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

  • Ľudomír Šlahor

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

Abstract

We propose a mathematical model that allows us to determine the temperature field of a parallel-sided electrically conductive plate element subject to uniform non-stationary electromagnetic action. We formulate initial-boundary value problems to determine the parameters of the non-stationary electromagnetic field (NEMF) and the temperature. We develop a methodology to solve these initial-boundary value problems using the approximation of determining functions by cubic polynomials over thickness of the plate element. General solutions for the related Cauchy problems at uniform non-stationary electromagnetic action are obtained. Based on these solutions, the temporal variation of Joule’s heat and temperature in the plate element, subject to short-term induction heating by an NEMF in the mode of impulse modulating signal (MIMS), is analyzed. Temperature dependencies on the different values of electromagnetic field stress and on the different time duration were obtained. The choice of the carrier frequency of electromagnetic field oscillations is explained for the frequencies mostly used in industrial devices for inductive heating.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:14:p:5250-:d:866997
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/14/5250/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/15/14/5250/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huabin Song & Youhua Wang & Jiangpai Peng & Chengcheng Liu, 2022. "Study on the Uniformity of Temperature Distribution of Transverse Flux Induction Heating Based on a New Magnetic Pole," Energies, MDPI, vol. 15(19), pages 1-15, October.
    2. Stanisław Ledakowicz & Olexa Piddubniak, 2023. "Temperature Distribution in a Finite-Length Cylindrical Channel Filled with Biomass Transported by Electrically Heated Auger," Energies, MDPI, vol. 16(17), pages 1-23, August.
    3. 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.
    4. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:15:y:2022:i:14:p:5250-:d:866997. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.