Abstract Understanding the generation behavior of kerosene droplets is an important precursor for predicting the kerosene-mineral adsorption. Using a high-speed motion acquisition system, we investigated the thermodynamic and kinetic characteristics of kerosene droplet with different size capillaries. As the capillary inner diameter increased, the formation time of the kerosene droplet become longer, and the width/height value decreased. The width/height value of the kerosene column roughly increased as the capillary inner diameter decreased due to the variation in the buoyancy, gravity and surface tension. The kinetic energy per unit superficial area (Ek/S) of the kerosene droplet firstly decreased sharply as the capillary inner diameter increased and then remained almost constant. The energy barrier on the kaolinite, quartz, montmorillonite and coal surfaces was found easy to be overcome by Ek/S independently of capillary inner diameter, and the energy barrier on the mica surface could be overcome if the capillary inner diameter was smaller than 0.50 mm. A predictive model of the formation condition of deuterogenic kerosene droplet was established, and the critical capillary inner diameter for forming a deuterogenic kerosene droplet was predicted to be approximately 0.29 mm. This aspect of kerosene droplet characteristics has not been well represented in the earlier literature. The results can provide valuable insight into the development of technology for surfactant adsorption and mineral flotation.

中文翻译：

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煤油液滴生成过程中的特征演变和能量变化

摘要 了解煤油液滴的生成行为是预测煤油-矿物吸附的重要前提。使用高速运动采集系统，我们研究了具有不同尺寸毛细管的煤油液滴的热力学和动力学特性。随着毛细管内径的增加，煤油液滴的形成时间变长，宽度/高度值减小。由于浮力、重力和表面张力的变化，煤油柱的宽度/高度值随着毛细管内径的减小而大致增加。随着毛细管内径的增加，煤油液滴的单位表面积动能（Ek/S）先急剧下降，然后几乎保持不变。高岭石、石英、发现蒙脱石和煤表面很容易被 Ek/S 克服，而与毛细管内径无关，如果毛细管内径小于 0.50 mm，则可以克服云母表面的能垒。建立了氘化煤油液滴形成条件的预测模型，预测形成氘化煤油液滴的临界毛细管内径约为0.29 mm。煤油液滴特性的这一方面在早期文献中没有得到很好的体现。结果可以为表面活性剂吸附和矿物浮选技术的发展提供有价值的见解。如果毛细管内径小于0.50 mm，则可以克服云母表面的能垒。建立了氘化煤油液滴形成条件的预测模型，预测形成氘化煤油液滴的临界毛细管内径约为0.29 mm。煤油液滴特性的这一方面在早期文献中没有得到很好的体现。结果可以为表面活性剂吸附和矿物浮选技术的发展提供有价值的见解。如果毛细管内径小于0.50 mm，则可以克服云母表面的能垒。建立了氘化煤油液滴形成条件的预测模型，预测形成氘化煤油液滴的临界毛细管内径约为0.29 mm。煤油液滴特性的这一方面在早期文献中没有得到很好的体现。结果可以为表面活性剂吸附和矿物浮选技术的发展提供有价值的见解。煤油液滴特性的这一方面在早期文献中没有得到很好的体现。结果可以为表面活性剂吸附和矿物浮选技术的发展提供有价值的见解。煤油液滴特性的这一方面在早期文献中没有得到很好的体现。结果可以为表面活性剂吸附和矿物浮选技术的发展提供有价值的见解。