Abstract
This paper concerns the mathematical modelling and numerical solution of thermoelectrical phenomena taking place in an axisymmetric induction heating furnace. We formulate the problem in a two-dimensional domain and propose a finite element method and an iterative algorithm for its numerical solution. We also provide a family of one-dimensional analytical solutions which are used to test the two-dimensional code and to predict the behaviour of the furnace under special conditions. Some numerical results for an industrial furnace used in silicon purification are shown.
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Communicated by J. Carnicer and J.M. Peña
Dedicated to Mariano Gasca on his 60th birthday
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Bermúdez, A., Gómez, D., Muñiz, M.C. et al. Transient numerical simulation of a thermoelectrical problem in cylindrical induction heating furnaces. Adv Comput Math 26, 39–62 (2007). https://doi.org/10.1007/s10444-005-7470-9
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DOI: https://doi.org/10.1007/s10444-005-7470-9
Keywords
- numerical methods
- simulation
- induction heating
- eddy currents
- electromagnetics
- finite elements
- phase change
- analytical solution