https://doi.org/10.1051/epjconf/201611402102
Mathematical model of non-stationary temperature distribution in the metal body produced by induction heating process
1 University of Pardubice, Faculty of Electrical Engineering and Informatics, Studentska 95 532 10 Pardubice, Czech Republic
2 Some results were obtained by author’s doctoral study in Charles University in Prague, Faculty of Mathematics and Physics, Department of Numerical Mathematics
a Corresponding author: josef.rak@upce.cz
Published online: 28 March 2016
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.
Key words: induction heating / integral equation of the second kind / non-stationary temperature distribution / Nyström method
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
