Field structures including electromagnetic, concentration of ions, and flow fields in an ESR-like process composed of a graphite crucible containing a molten slag, air, and an iron electrode are computed. Both CaF2—(mass pct 2) CaO and CaF2—(mass pct 2) Al2O3 slags are examined. Tertiary current distribution is calculated. Therefore, polarization overpotential and Faradic reactions at metal–slag interface are considered using Tafel law, whereas transport of ions in the bulk of slag is determined through Nernst–Planck equations. The main goal is to shed light on the invisible phenomena such as magnetohydrodynamics caused by transport of ions, electrical conductivity of CaF2-based slag using additives (e.g., CaO or Al2O3), and the role of complexation of ions (e.g., AlO33-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\text{AlO}}_{3}^{3 - } $$\end{document}) in the molten slag applied to the ESR. An explanation is given for the observation of higher oxygen content in the metal using Al2O3 than that using equivalent amount of CaO in the CaF2-based slag of a DC-operated ESR.

中文翻译：

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ESR渣中CaO和Al2O3电化学行为的数值研究

计算由包含熔渣、空气和铁电极的石墨坩埚组成的类 ESR 过程中的场结构，包括电磁场、离子浓度和流场。对 CaF2-(质量 pct 2) CaO 和 CaF2-(质量 pct 2) Al2O3 炉渣进行了检查。计算三次电流分布。因此，金属-炉渣界面处的极化过电位和法拉第反应是使用塔菲尔定律考虑的，而炉渣中离子的传输是通过 Nernst-Planck 方程确定的。主要目标是阐明不可见现象，例如由离子传输引起的磁流体动力学、使用添加剂（例如 CaO 或 Al2O3）的 CaF2 基炉渣的导电性以及离子络合的作用（例如，AlO33-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin }{-69pt} \begin{document}$$ {\text{AlO}}_{3}^{3 - } $$\end{document}) 在应用于 ESR 的熔渣中。给出了使用 Al2O3 观察到的金属中氧含量高于在 DC 操作的 ESR 的 CaF2 基炉渣中使用等量 CaO 的情况的解释。