Stability analysis of interfacial waves in Hall-Heroult process through a weighted residual model

铝产品在加拿大和世界各地越来越多地用于汽车，飞机和许多其他应用。铝生产中的关键要素之一是霍尔-赫鲁法，这是炼铝的主要工业过程。在这个过程中的一个主要问题是发生的流体界面不稳定性的霍尔-He 'roult还原细胞，由于重力波修改intenseelectric/magnetic fields。有许多参数可以影响流动的稳定性，例如，各种力的大小、密度差、流体层厚度、壁面摩擦系数等。在本研究项目中，我们开发了一种数学建模方法来分析流动稳定性，以最终预测和预防可能发生在Hall-He 'roult还原槽中的界面不稳定性。

Aluminum products are increasingly used in Canada and worldwide in automobiles, aircraft and many otherapplications. One of the key elements in the production of aluminum is Hall-He´roult process, which is themajor industrial process for smelting aluminum. One main problem in this process is the occurrence of fluidinterfacial instabilities within the Hall-He´roult reduction cells, due to gravity waves modified by intenseelectric/magnetic fields. There are many parameters that can affect the stability of the flow, e.g., magnitude ofvarious forces, density difference, fluid layer thicknesses, wall friction coefficient, etc. In this research project,we develop a mathematical modelling approach to analyze the flow stability to finally predict and preventinterfacial instabilities that may occur in Hall-He´roult reduction cells.