Abstract This paper focuses on the difference in kinetics of air and oily bubbles flotation of long-flame coal. Six flotation kinetic models were taken to fit the air and oily bubbles flotation results by the software MATrix LABoratory. The findings indicated that the conventional flotation was greater than the oily-bubble flotation in flotation rate in the early stage, and these two flotation processes exhibited different variation laws in cumulative concentrate yield with flotation time. Additionally, it was found that the classical first-order model could provide an excellent fit to the experimental data for the conventional flotation, yet all the studied kinetic models showed a great deviation in fitting to oily-bubble flotation data. Consequently, an improvement for flotation kinetic models was conducted by subtracting the delay constant in the oily-bubble flotation to attain an excellent fitting. Finally, the delay constant for the oily-bubble flotation was determined to be about 0.7500 min, while the improved classical first-order model was found to give the best fit to the oily-bubble flotation data. This study may contribute to a better understanding of the oily-bubble flotation characteristics.

中文翻译：

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长焰煤气泡与油泡浮选动力学比较

摘要 本文重点研究了长焰煤空气和油泡浮选动力学的差异。通过MATrix LABoratory软件建立了六个浮选动力学模型来拟合空气和油泡的浮选结果。结果表明，常规浮选前期的浮选率大于油泡浮选，并且这两种浮选工艺的累积精矿收率随浮选时间的变化规律表现出不同的变化规律。此外，发现经典的一阶模型可以很好地拟合常规浮选的实验数据，但所有研究的动力学模型都显示出对油泡浮选数据的拟合有很大偏差。最后，通过减去油泡浮选中的延迟常数，对浮选动力学模型进行了改进，以获得良好的拟合。最后，油泡浮选的延迟常数被确定为大约 0.7500 分钟，而改进的经典一阶模型被发现最适合油泡浮选数据。这项研究可能有助于更好地了解油泡浮选特性。