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Induction Heating of Thin Slabs in Nonmagnetic Media

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Scientific Computing in Electrical Engineering

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 18))

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Abstract

The paper deals with the mathematical and computer modelling of the induction heating of thin non-ferromagnetic slabs in transverse electromagnetic fields. The task is formulated as a non-stationary quasi-coupled problem, with respecting the temperature dependencies of all important material parameters. Distribution of the eddy currents and Joule losses in the slab is solved by integral equations while the temperature field by means of non-stationary balance equations. The theoretical analysis is supplemented with an illustrative example.

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References

  1. Stratton, J.: Electromagnetic Theory Mc Graw Hill Book Co., NY, 1941.

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  2. Šolín, P., DoleŽel, I., Škopek, M., Ulrych, B.: Stationary Temperature Field in a Non-Magnetic Thin Plate Heated by Transversal Electromagnetic Field. Acta Technica CSAV 45 (2000) 105–128.

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  3. Schneider, P. J.: Conduction Heat Transfer. Addison-Wesley, Pub. Comp., Cambridge, 1955.

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  4. Thoxnee, V.: Galerkin Finite Element Methods for Parabolic Problems. Berlin, Springer, 1997.

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  5. Davies, P. G.: Conduction and Induction Heating. Peter Pelegrinus Ltd., London, 1990.

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  6. Engl, H. W.: Integralgleichungen. Springer-Verlag, Wien (1997), in German.

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Author information

Authors and Affiliations

  1. Johannes Kepler University, Linz, Austria

    P. Šolín

  2. Institute of Electrical Engineering AS CR, Prague, Czech Republic

    I. Doležel

  3. Electrotechnical Faculty of the UWB, Pilsen, Czech Republic

    B. Ulrych

Authors
  1. P. Šolín
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  2. I. Doležel
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  3. M. Škopek
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  4. B. Ulrych
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Editor information

Editors and Affiliations

  1. Fachbereich Elektrotechnik und Informationstechnik, Universität Rostock, Albert-Einstein-Straße 2, 18051, Rostock, Germany

    Ursula van Rienen  & Dirk Hecht  & 

  2. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung IWRMM, Universität Karlsruhe, Engesserstraße 6, 76128, Karlsruhe, Germany

    Michael Günther

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© 2001 Springer-Verlag Berlin Heidelberg

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Šolín, P., Doležel, I., Škopek, M., Ulrych, B. (2001). Induction Heating of Thin Slabs in Nonmagnetic Media. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_38

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  • DOI: https://doi.org/10.1007/978-3-642-56470-3_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42173-3

  • Online ISBN: 978-3-642-56470-3

  • eBook Packages: Springer Book Archive

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