Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current
Mathematical modeling of heat transfer in the film-substrate-thermostat system with a pulsed flow of high-density current through an electrically conductive film has been carried out. On the basis of the simulation, the analysis of the heating of a niobium nitride film with a high resistivity near t...
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| Format: | Article |
| Language: | English |
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National Research Mordovia State University
2021-02-01
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| Series: | Журнал Средневолжского математического общества |
| Subjects: | |
| Online Access: | http://journal.svmo.ru/en/archive/article?id=1717 |
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| author | Kuzmichev Nikolay D. Vasyutin Mikhael A. Danilova Ekaterina V. Lapshina Elena A. |
| author_facet | Kuzmichev Nikolay D. Vasyutin Mikhael A. Danilova Ekaterina V. Lapshina Elena A. |
| author_sort | Kuzmichev Nikolay D. |
| collection | DOAJ |
| description | Mathematical modeling of heat transfer in the film-substrate-thermostat system with a pulsed flow of high-density current through an electrically conductive film has been carried out. On the basis of the simulation, the analysis of the heating of a niobium nitride film with a high resistivity near the critical temperature of the transition to the superconducting state is made. The inhomogeneous heat conduction equation which is solved numerically, simulates heat transfer in the film-substrate-thermostat system for the third on the left and the first on the right initial boundary value problem. Using the symmetry of the problem, the parameter $H$ is determined, which is equal to the ratio of the heat transfer of the film surface to its thermal conductivity; this parameter is necessary for effective heat removal. It is shown that effective heat removal from films can be provided by current-carrying and potential clamping contacts made, for example, of beryllium bronze. This makes possible to study the current-voltage characteristics of superconductors near the critical transition temperature to the superconducting state with high-density currents $(10^4 - 10^5 A/cm^2)$ without significant heating of the samples. |
| first_indexed | 2024-04-13T17:33:39Z |
| format | Article |
| id | doaj.art-cf7045ebd2704bb78eab2979134574a9 |
| institution | Directory Open Access Journal |
| issn | 2079-6900 2587-7496 |
| language | English |
| last_indexed | 2024-04-13T17:33:39Z |
| publishDate | 2021-02-01 |
| publisher | National Research Mordovia State University |
| record_format | Article |
| series | Журнал Средневолжского математического общества |
| spelling | doaj.art-cf7045ebd2704bb78eab2979134574a92022-12-22T02:37:29ZengNational Research Mordovia State UniversityЖурнал Средневолжского математического общества2079-69002587-74962021-02-01231829010.15507/2079-6900.23.202101.82–90123Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse currentKuzmichev Nikolay D.0Vasyutin Mikhael A.1https://orcid.org/0000-0002-4856-7407Danilova Ekaterina V.2https://orcid.org/0000-0003-0554-3795Lapshina Elena A.3https://orcid.org/0000-0002-8828-273XNational Research Mordovia State University (Saransk, Russian Federation)National Research Mordovia State University (Saransk, Russian Federation)National Research Mordovia State University (Saransk, Russian Federation)National Research Mordovia State University (Saransk, Russian Federation)Mathematical modeling of heat transfer in the film-substrate-thermostat system with a pulsed flow of high-density current through an electrically conductive film has been carried out. On the basis of the simulation, the analysis of the heating of a niobium nitride film with a high resistivity near the critical temperature of the transition to the superconducting state is made. The inhomogeneous heat conduction equation which is solved numerically, simulates heat transfer in the film-substrate-thermostat system for the third on the left and the first on the right initial boundary value problem. Using the symmetry of the problem, the parameter $H$ is determined, which is equal to the ratio of the heat transfer of the film surface to its thermal conductivity; this parameter is necessary for effective heat removal. It is shown that effective heat removal from films can be provided by current-carrying and potential clamping contacts made, for example, of beryllium bronze. This makes possible to study the current-voltage characteristics of superconductors near the critical transition temperature to the superconducting state with high-density currents $(10^4 - 10^5 A/cm^2)$ without significant heating of the samples.http://journal.svmo.ru/en/archive/article?id=1717inhomogeneous heat conduction equation”, “1st initial-boundary value problem”, “3rd initial-boundary value problem”, “niobium nitride membrane”, “pulsed heating by current |
| spellingShingle | Kuzmichev Nikolay D. Vasyutin Mikhael A. Danilova Ekaterina V. Lapshina Elena A. Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current Журнал Средневолжского математического общества inhomogeneous heat conduction equation”, “1st initial-boundary value problem”, “3rd initial-boundary value problem”, “niobium nitride membrane”, “pulsed heating by current |
| title | Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current |
| title_full | Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current |
| title_fullStr | Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current |
| title_full_unstemmed | Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current |
| title_short | Mathematical modeling of heat transfer in the film-substrate-thermostat system during heating of an electrically conductive film by a high-density pulse current |
| title_sort | mathematical modeling of heat transfer in the film substrate thermostat system during heating of an electrically conductive film by a high density pulse current |
| topic | inhomogeneous heat conduction equation”, “1st initial-boundary value problem”, “3rd initial-boundary value problem”, “niobium nitride membrane”, “pulsed heating by current |
| url | http://journal.svmo.ru/en/archive/article?id=1717 |
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