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A finite element method for the thermoelectrical modelling of electrodes

✍ Scribed by Bermúdez, Alfredo ;Bullón, Javier ;Pena, Francisco

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
212 KB
Volume
14
Category
Article
ISSN
1069-8299

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✦ Synopsis

In this paper we give a numerical method based on ®nite element discretizations to simulate the thermoelectrical behaviour of electrodes for electric reduction furnaces. After introducing the mathematical model we take advantage of the cylindrical symmetry of the problem to compute boundary conditions for the Maxwell equations. Thermal and electrical problems are coupled and non-linear because of the Joule eect and the fact that thermal conductivity and electrical resistivity depend on temperature. A classical piecewise linear ®nite element method on a triangular mesh is used to discretize weak formulations in cylindrical co-ordinates for the two problems. Then an iterative algorithm is proposed to solve the coupled discrete system. Numerical results are shown both for an analytical test and for a real industrial electrode.

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