Magnetohydrodynamic stability of large scale liquid metal batteries
Magnetohydrodynamic stability of large scale liquid metal batteries
复制标题
大型液态金属电池的磁流体动力学稳定性
DOI：
10.1017/jfm.2018.482
复制
发表时间：
2018
影响因子：
3.7
通讯作者：
K. Pericleous
中科院分区：
文献类型：
--
作者：
A. Tučs;V. Bojarevics;K. Pericleous
本文的目的是建立三层密度分层导电液体层的稳定性理论和数值模型。利用正则摄动法将全三维问题简化为浅层模型，推导了耦合波和电流方程。该问题的设置允许弱非线性速度场作用和任意垂直磁场。在此基础上，对耦合方程进行了线性化处理，分析了均匀垂直磁场作用下的线性稳定性分析。针对实际情况，导出了考虑粘性阻尼的新的解析稳定性准则，并与各种电池材料的数值解进行了比较。这些新标准同样适用于铝电解槽磁流体动(MHD)稳定性评估。
The aim of this paper is to develop a stability theory and a numerical model for three density-stratified electrically conductive liquid layers. Using regular perturbation methods to reduce the full three-dimensional problem to the shallow layer model, the coupled wave and electric current equations are derived. The problem set-up allows for weakly nonlinear velocity field action and an arbitrary vertical magnetic field. Further linearisation of the coupled equations is used for the linear stability analysis in the case of a uniform vertical magnetic field. New analytical stability criteria accounting for the viscous damping are derived for particular cases of practical interest and compared to the numerical solutions for a variety of materials used in batteries. These new criteria are equally applicable to the aluminium electrolysis cell magnetohydrodynamic (MHD) stability estimates.