Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating
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 electromagneti...
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| Format: | Article |
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MDPI AG
2023-06-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/13/4980 |
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| author | Roman Musii Petro Pukach Nataliia Melnyk Myroslava Vovk L’udomír Šlahor |
| author_facet | Roman Musii Petro Pukach Nataliia Melnyk Myroslava Vovk L’udomír Šlahor |
| author_sort | Roman Musii |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:42:56Z |
| format | Article |
| id | doaj.art-5b36fe9137374dbb855c27e5c6732410 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T01:42:56Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-5b36fe9137374dbb855c27e5c67324102023-11-18T16:28:36ZengMDPI AGEnergies1996-10732023-06-011613498010.3390/en16134980Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction HeatingRoman Musii0Petro Pukach1Nataliia Melnyk2Myroslava Vovk3L’udomír Šlahor4Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, UkraineInstitute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, UkraineInstitute of Computer Sciences and Information Technologies, Lviv Polytechnic National University, 79013 Lviv, UkraineInstitute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University, 79013 Lviv, UkraineFaculty of Management, Comenius University Bratislava, 82005 Bratislava, SlovakiaA 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.https://www.mdpi.com/1996-1073/16/13/4980bimetallic platenon-stationary electromagnetic fieldinduction heatingunstable modetemperature field |
| spellingShingle | Roman Musii Petro Pukach Nataliia Melnyk Myroslava Vovk L’udomír Šlahor Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating Energies bimetallic plate non-stationary electromagnetic field induction heating unstable mode temperature field |
| title | Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating |
| title_full | Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating |
| title_fullStr | Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating |
| title_full_unstemmed | Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating |
| title_short | Modeling of the Temperature Regimes in a Layered Bimetallic Plate under Short-Term Induction Heating |
| title_sort | modeling of the temperature regimes in a layered bimetallic plate under short term induction heating |
| topic | bimetallic plate non-stationary electromagnetic field induction heating unstable mode temperature field |
| url | https://www.mdpi.com/1996-1073/16/13/4980 |
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