Predicting ion flotation performance using appropriate modeling is necessary for process design. Few literature studies have presented a suitable flotation kinetic model for the removal rate of heavy metal ions. This study assesses two empirical kinetic models, one of which is newly developed, and a recently developed phenomenological kinetic model for the prediction of the ion removal rate constant. The models are evaluated against experimental data using parameters such as the effect of power/energy input, bubble size, airflow rate and collector/nickel ratio on nickel ion flotation performance. The k = PS empirical kinetic model, commonly used in mineral flotation, cannot accurately predict the rate constant for ion flotation as additional parameters are required. The new empirical kinetic model, developed for ion flotation, is better than the k = PS empirical kinetic model, but there are still some inaccuracies in prediction. The phenomenological kinetic model, developed for mineral flotation, is the most accurate model for predicting ion flotation and requires only one fitted parameter (c) at each superficial gas velocity. The correlation coefficients between measured and predicted rate constants for the k = PS empirical kinetic model, the new empirical kinetic model and the phenomenological kinetic model are 0.773, 0.934, and 0.983 respectively.

中文翻译：

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使用经验和唯象模型进行离子浮选动力学预测

使用适当的建模来预测离子浮选性能对于工艺设计来说是必要的。很少有文献研究提出了适合重金属离子去除率的浮选动力学模型。本研究评估了两种经验动力学模型（其中一种是新开发的）以及最近开发的用于预测离子去除速率常数的唯象动力学模型。使用功率/能量输入、气泡尺寸、气流速率和捕收剂/镍比率对镍离子浮选性能的影响等参数，根据实验数据对模型进行评估。矿物浮选中常用的 k = PS 经验动力学模型无法准确预测离子浮选的速率常数，因为需要额外的参数。针对离子浮选开发的新经验动力学模型优于k=PS经验动力学模型，但预测仍存在一些不准确之处。专为矿物浮选而开发的唯象动力学模型是预测离子浮选的最准确模型，并且在每种表观气体速度下仅需要一个拟合参数 (c)。 k=PS 经验动力学模型、新经验动力学模型和唯象动力学模型的测量速率常数和预测速率常数之间的相关系数分别为 0.773、0.934 和 0.983。