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Mathematical modelling of the collective behaviour of gas bubbles under the anode

机译:阳极下气泡集体行为的数学建模

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The gas bubble laden layer under the anode plays an important role in the operation of the aluminium electrolysis cell. It influences the cell's electric resistance, it participates in the formation of the so-called bubble-driven flow. It is in this layer that the drastic changes in the morphology of the three phases (liquid bath, solid anode and the gas) lead to the anode effect. The noise spectrum of the cell's voltage is directly linked to the events in the bubble layer. After analysing the dynamics of growth of individual bubbles, in the present study the emphasis was put on the study of the collective behaviour of the bubbles. After their detachment from the nucleation site, the bubbles start their voyage toward the edge of the anode. During that travel they collide and coalesce as well as interact with other bubbles still in the growing phase, before detachment. Big flat gas pockets are formed incorporating dozens of separated bubbles. The fluctuations in the bubble layer reflect both the effect of the individual bubbles' dynamics and the formation of such gas pockets. A mathematical simulation tool was developed that takes into account the most important interactions between the bubbles and follows their movement and their growth. The velocity of the bubble layer is calculated by using a simplified momentum balance equation. The fraction of the anode covered by the gas is calculated in function of the movement and growth of the individual bubbles and shows a character very similar to the measured voltage fluctuations.
机译:阳极下的气泡升起层在铝电解槽的操作中起重要作用。它影响细胞的电阻,它参与所谓的气泡驱动流动的形成。在该层中,三相(液体浴,固态阳极和气体)的形态发生剧烈变化导致阳极效应。电池电压的噪声谱直接与气泡层中的事件直接连接。在分析单个气泡的生长动态之后,在本研究中,重点是对泡沫的集体行为的研究。从成核遗址脱离后,气泡开始朝向阳极的边缘开始。在脱离之前,他们碰撞和聚结的行为以及仍然在生长阶段的其他气泡互动。大型扁平气体口袋形成了几十个分离的气泡。气泡层的波动反映了各个气泡动力学和这种气囊的形成的效果。制定了一种数学仿真工具,以考虑到气泡之间最重要的相互作用,并遵循其运动和生长。通过使用简化的动量平衡方程计算气泡层的速度。由气体覆盖的阳极的分数以单个气泡的运动和生长的作用计算,并且表示与测量的电压波动非常相似的角色。

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