Numerical simulation of electromagnetically driven flow and temperature distribution inside an electric arc furnace with two non-parallel electrodes
DOI:
https://doi.org/10.31349/RevMexFis.71.010603Keywords:
electric arc furnace, non-parallel electrodes, Joule heating, Lorentz forceAbstract
In this study, numerical simulations were performed for a three-dimensional computational fluid dynamics model to investigate the fluid dynamic, thermal, and magnetohydrodynamic behavior inside an electric arc furnace. Simulations consider the interaction of the multiphase flow involving steel, slag, and air, along with the induction of electric current through two non-parallel graphite electrodes. It accounts for heat transfer resulting from the Joule effect and the impact of the Lorentz force on the fluid dynamic pattern of steel. To validate the magnetic flux density generated by the electric current, experiments were conducted using a gaussmeter during the operation of an electric arc furnace. Results provide comprehensive insights into temperature, velocity, Joule heat, and Lorentz force fields to characterize the flow. The Lorentz force, arising from the interaction between electric current density and magnetic flux density has a maximum value of 164 N · m−3, and it was observed to counteract the movement of convective flow induced by buoyancy forces. This counteraction led to a reduction in velocity within the liquid steel of about 4%, consequently resulting in a more uniform temperature distribution throughout the liquid steel with a maximum temperature value significantly lower compared to the case that does not consider the contribution of the Lorentz force.
References
D. Mazumdar and J. W. Evans, Modeling of steelmaking processes (CRC press, 2009), pp. 8-10
World Steel Association, Steel Statistical Yearbook, Disponible en línea: https://www.worldsteel.org/steel-by-topic/statistics/World-Steel-in-Figures.html (2022)
B. Bowman and H. Edels, Radial temperature measurements of alternating current arcs, Journal of Physics D: Applied Physics 2 (1969) 53, https://doi.org/10.1088/0022-3727/2/1/309
Y. Yang, Y. Xiao, and M. Reuter, Analysis of transport phenomena in submerged arc furnace for ferrochrome production, In International Ferroalloy Congress, SAIMM (2004) 15-25
Z. Wang, N. Wang, and T. Li, Analysis of power consumption in a submerged arc furnace for MgO single crystal production, In 2010 International Conference on Electrical and Control Engineering (IEEE, 2010) pp. 433-436, https://doi.org/10.1109/iCECE.2010.112
A. Kiyoumarsi et al., Three dimensional analysis of an AC electric arc furnace, In 2009 35th Annual Conference of IEEE Industrial Electronics (IEEE, 2009) pp. 3697-3702, https://doi.org/10.1109/iCECE.2010.112
M. M. Moghadam, S. Seyedein, and M. R. Aboutalebi, Fluid flow and heat transfer modeling of AC arc in ferrosilicon submerged arc furnace, Journal of iron and steel research, international 17 (2010) 14, https://doi.org/10.1016/S1006-706X(10)60135-5
G. Saevarsdottir et al., High-power AC arcs in metallurgical furnaces, High Temperature Material Processes: An International Quarterly of High-Technology Plasma Processes 5 (2001), https://doi.org/10.1615/HighTempMatProc.v5.i1.20
A. Kukharev et al., The peculiarities of convective heat transfer in melt of a multiple-electrode arc furnace, Metals 9 (2019) 1174, https://doi.org/10.3390/met9111174
S. Pavlovs et al., Numerical Modelling of Melt Circulation in Industrial-size Furnaces with Power Supply by Inductor and over Electrodes, In International Scientific Colloquium Modelling for Electromagnetic Processing pp. 363-369
S. Pavlovs, A. Jakovi’cs, and A. Chudnovsky, Electrovortex flow and melt homogenization in the industrial direct current electrical arc furnace, Magnetohydrodynamics (0024-998X) 58 (2022), https://doi.org/0.22364/mhd.58.3.7
Y. Yu et al., Modeling on reduction reaction of metal oxides for submerged arc furnace in ferrochrome pellets smelting process, Metallurgical and Materials Transactions B 52 (2021) 3907, https://doi.org/10.1007/s11663-021-02304-5
T. Jiang and W. Zhang, Numerical Simulation of Multi-Physics Fields in Fused Magnesia Furnace, Metals 13 (2022) 39, https://doi.org/10.3390/met13010039
K. Karalis et al., Computational fluid dynamics analysis of a three-dimensional electric submerged arc furnaceoperation (2020)
K. Karalis et al., Pragmatic analysis of the electric submerged arc furnace continuum, Royal Society Open Science 4 (2017) 170313, https://dx.doi.org/10.1098/rsos.170313
K. Karalis et al., Electromagnetic phenomena in an electric submerged arc furnace, In METAL 2015-24th International Conference on Metallurgy and Materials, Conference Proceedings (2015) pp. 60-66
K. Karalis et al., A CFD analysis of slag properties, electrode shape and immersion depth effects on electric submerged arc furnace heating in ferronickel processing, Applied Mathematical Modelling 40 (2016) 9052, https://dx.doi.org/10.1016/j.apm.2016.05.045
Y. A. Tesfahunegn et al., The effect of frequency on current distributions inside submerged arc furnace, In 2018 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO) (IEEE, 2018) pp. 1-4, https://doi.org/10.1109/NEMO.2018.8503083
COMSOL Inc., COMSOL Multiphysics reference manual (2020), URL https://www.comsol.com/
S. Smolentsev, S. Cuevas, and A. Beltrán, Induced electric current-based formulation in computations of low magnetic Reynolds number magnetohydrodynamic flows, Journal of Computational Physics 229 (2010) 1558, https://doi.org/10.1016/j.jcp.2009.10.044
A. Beltran, MHD Natural convection flow in a liquid metal ´ electrode, Applied Thermal Engineering 114 (2017) 1203, https://doi.org/10.1016/j.applthermaleng.2016.09.006
T. Aguilar-García et al., Effect of electromagnetically driven liquid metal flows on the electric potential difference in a cuboid vessel, Journal of Power Sources 483 (2021) 229162, https://doi.org/10.1016/j.jpowsour.2020.229162
K. Acosta-Zamora and A. Beltrán, Study of electromagnetically driven flows of electrolytes in a cylindrical vessel: Effect of electrical conductivity, magnetic field, and electric current, International Journal of Heat and Mass Transfer 191 (2022) 122854, https://doi.org/10.1016/j.ijheatmasstransfer.2022.122854
P. A. Davidson and A. Thess, Magnetohydrodynamics, vol. 418 (Springer Science & Business Media, 2002)
C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of computational physics 39 (1981) 201, https://doi.org/10.1016/0021-9991(81)90145-5
F. R. Menter, Improved two-equation k-omega turbulence models for aerodynamic flows, Tech. rep. (1992)
R. Rafiei, A. Kermanpur, and F. Ashrafizadeh, Numerical thermal simulation of graphite electrode in EAF during normal operation, Ironmaking & Steelmaking 35 (2008) 465
A. W. Cramb and I. Jimbo, Calculation of the interfacial properties of liquid steel-slag systems, Steel research 60 (1989) 157
L. Jonsson and P. Jonsson, Modeling of fluid flow conditions around the slag/metal interface in a gas-stirred ladle, ISIJ Int. 36 (1996) 1127
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