International Journal for Numerical Methods in Engineering · 2006 · 25 citations · 15 references
EngineeringElectrical EngineeringIndustrial EngineeringFinite Element AnalysisFinite Element MethodsHeat TransferBoundary Element MethodsFinite Element FormulationHeat Transfer AnalysisHeat Transfer ModelingMaxwell's EquationsThermal SimulationEddy Current AnalysisEddy CurrentsElectromagnetic Field SimulationElectromagnetic Field TheoryEnthalpyFurnacesInduction HeatingIndustrial Furnaces
Abstract In this paper, we propose a numerical method to solve a mathematical model for axisymmetric induction furnaces used for melting materials like metals or silicon. A finite/boundary element method (FEM/BEM) is introduced to solve the eddy current problem giving the electromagnetic field. In order to solve the non‐linear heat transfer problem involving change of state, we use an enthalpy formulation and propose an iterative algorithm to solve the corresponding finite element approximation. Numerical results for an industrial induction heating system are presented. Copyright © 2006 John Wiley & Sons, Ltd.
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Handbook of Mathematical Functions
Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations
Handbook of Mathematical Functions
Milton Abramowitz, I. A. Stegun · 1972 · 15.4K citations