Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process
An induction heating problem can be described by a parabolic differential equation. For this equation, specific Joule looses must be computed. It can be done by solving the Fredholm Integral Equation of the second kind for the eddy current of density. When we use the Nyström method with the singular...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
|
| Series: | EPJ Web of Conferences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201611402102 |
| _version_ | 1818716001326333952 |
|---|---|
| author | Rak Josef |
| author_facet | Rak Josef |
| author_sort | Rak Josef |
| collection | DOAJ |
| description | An induction heating problem can be described by a parabolic differential equation. For this equation, specific Joule looses must be computed. It can be done by solving the Fredholm Integral Equation of the second kind for the eddy current of density. When we use the Nyström method with the singularity subtraction, the computation time is rapidly reduced. This paper shows the method for finding non-stationary temperature distribution in the metal body with illustrative examples. |
| first_indexed | 2024-12-17T19:12:19Z |
| format | Article |
| id | doaj.art-9a9d6d05df1a4c4191aa8f1df8a473e5 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T19:12:19Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-9a9d6d05df1a4c4191aa8f1df8a473e52022-12-21T21:35:50ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011140210210.1051/epjconf/201611402102epjconf_efm2016_02102Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating processRak JosefAn induction heating problem can be described by a parabolic differential equation. For this equation, specific Joule looses must be computed. It can be done by solving the Fredholm Integral Equation of the second kind for the eddy current of density. When we use the Nyström method with the singularity subtraction, the computation time is rapidly reduced. This paper shows the method for finding non-stationary temperature distribution in the metal body with illustrative examples.http://dx.doi.org/10.1051/epjconf/201611402102induction heatingintegral equation of the second kindnon-stationary temperature distributionNyström method |
| spellingShingle | Rak Josef Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process EPJ Web of Conferences induction heating integral equation of the second kind non-stationary temperature distribution Nyström method |
| title | Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process |
| title_full | Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process |
| title_fullStr | Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process |
| title_full_unstemmed | Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process |
| title_short | Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process |
| title_sort | mathematical model of non stationary temperature distribution in the metal body produced by induction heating process |
| topic | induction heating integral equation of the second kind non-stationary temperature distribution Nyström method |
| url | http://dx.doi.org/10.1051/epjconf/201611402102 |
| work_keys_str_mv | AT rakjosef mathematicalmodelofnonstationarytemperaturedistributioninthemetalbodyproducedbyinductionheatingprocess |