Homogenised model for the electrical current distribution within a submerged arc furnace for silicon production

DOI10.1017/S0956792521000243zbMath1504.78019OpenAlexW3196086941MaRDI QIDQ5056787

Ellen K. Luckins, Benjamin M. Sloman, Colin P. Please, Robert A. van Gorder, James M. Oliver

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792521000243

zbMATH Keywords

free boundary problemheat and mass transferhomogenisation theoryendothermic chemical reactionsubmerged arc furnace

Mathematics Subject Classification ID

Chemically reacting flows (80A32) Technical applications of optics and electromagnetic theory (78A55) Free boundary problems for PDEs (35R35) Motion of charged particles (78A35) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in optics and electromagnetic theory (78M40) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

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Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Asymptotic Analysis of a Silicon Furnace Model
• Numerical computation of the electromagnetic field in the electrodes of a three-phase arc furnace
• Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen
• Melting and dripping of a heated material with temperature-dependent viscosity in a thin vertical tube
• Flows of Dense Granular Media
• A BVP solver based on residual control and the Maltab PSE

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