On a free boundary problem modelling inductive-heating processes | Zendy

HongMing Yin | Zendy

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On a free boundary problem modelling inductive-heating processes

Author(s) -

HongMing Yin

Publication year - 2008

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/193

Subject(s) - free boundary problem , boundary value problem , dimension (graph theory) , induction heating , boundary (topology) , space (punctuation) , kinetic energy , mathematics , stefan problem , mathematical analysis , mathematical optimization , mechanics , computer science , physics , classical mechanics , quantum mechanics , pure mathematics , electromagnetic coil , operating system

Superheating is a phenomenon in which the temperature in a solid phase is higher than the melting temperature. This phenomenon is common when a microwave or an induction heating method is used during a melting process. The classical interface conditions (Stefan conditions) have to be modified in order to model this phenomenon. In this paper we study a melting process for highly conductive materials by using an induction heating method with possible superheating in the process. To derive the mathematical model, we recall Maxwell’s equations for an electric field E(x, t) and a magnetic field H(x, t) in R3 ([11, 16]):

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