中文摘要：

基于铝电解槽内流体体系及电磁场分布特点,建立了非线性磁流体动力学浅水模型,并应用此模型对某300 kA电解槽的熔体流场及铝液-电解质界面波动进行瞬态数值研究。在此基础上,通过动力学计算分析极距及铝液区垂直磁场对磁流体稳定性的影响。结果表明：随着极距的减小,界面波动由稳定趋向于不稳定;减小铝液区的垂直磁感应强度能大幅提高磁流体的稳定性。

英文摘要：

A nonlinear magnetohydrodynamic（MHD） shallow water model was established,based on the characteristic of both the fluid system and the distribution of electromagnetic field in cell.Using the model,a transient numerical study on the melts flow field and the metal-bath interface wave in a 300 kA cell was carried out.Furthermore,the influence of both anode-cathode distance（ACD） and vertical magnetic field in the metal on the MHD stability was analyzed by dynamic computation.The results show that the interface wave tends to be unstable from a stable state with ACD decreasing,and the MHD stability can be improved markedly by reducing the vertical magnetic flux density in the metal layer.