Induction heating of thin metal plates in time-varying external magnetic field solved as nonlinear hard-coupled problem

A novel mathematical model of local induction heating of very thin metal plates in an external time-variable magnetic field is suggested. Distribution of eddy currents induced in the plate is modelled by electric vector T-potential and thermal fluxes in the systems are expressed in terms of heat sou...

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Bibliographic Details
Published in:Applied mathematics and computation 2013-03, Vol.219 (13), p.7159-7169
Main Authors: Doležel, Ivo, Kropík, Petr, Ulrych, Bohuš
Format: Article
Language:English
Subjects:
Electric field
Hard-coupled formulation
Higher-order finite element method
Induction heating
Temperature field
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Summary:A novel mathematical model of local induction heating of very thin metal plates in an external time-variable magnetic field is suggested. Distribution of eddy currents induced in the plate is modelled by electric vector T-potential and thermal fluxes in the systems are expressed in terms of heat sources and sinks. Analysed are also the thermoelastic displacements in the plate, their back influence on the discretization mesh and distribution of the electromagnetic and thermal quantities. Numerical solution of the problem is carried out in the hard-coupled formulation. The methodology is illustrated by a typical example whose results are discussed.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.08.042