The motion of particle-laden bubbles is common in the gas–liquid-solid three-phase process like flotation. In this study, the motion of particle-laden bubbles in the stagnant deionized water was obtained by high-speed dynamic imaging. The experimental ranges of the mean bubble diameter and particle diameter were 2.76–3.95 mm and 58.2–196.35 μm, respectively. Results show that the terminal rising velocity decreases with the increase in the diameter of covering particles and the decrease in bubble diameter. For the coverage below 50%, the terminal rising velocity decreases sharply as coverage increases; while for 50% to nearly 100%, decreases slowly. The sharp decrease is mainly because particles immobilize the bubble surface and increases the drag, which is similar to the effect of contaminants in liquid on bubble motion. When the coverage exceeding 50%, the interface mobility of particle-laden bubbles is completely retarded. The slow decrease is attributed to the decreasing net buoyancy caused by decreasing density difference between water and the particle-laden bubble. Based on the impact of particle coverage on bubble behavior, the measured data were compared with predictions by the available models of the terminal rising velocity and drag coefficient for the bare bubble in the contaminated liquid. Comparison results show that the terminal rising velocity model given by Zheng et al. (2020) and the drag coefficient model given by Wang et al. (2019) can be extended to particle-laden bubbles with a mean error of 4.8% and 0.6%, respectively. The aspect ratio of particle-laden bubbles is negatively correlated to the terminal rising velocity like that of bare bubbles. A new aspect ratio prediction model for particle-laden bubbles related to the ratio between coverage and the Eo number was introduced to facilitate direct prediction of the terminal rising velocity. The comprehensive prediction models of particle-laden bubbles behaviors given in this study are helpful for the design and optimization of equipment that contains bubble-particle aggregates.

浮选等气-液-固三相过程中，含颗粒气泡的运动很常见。在这项研究中，通过高速动态成像获得了停滞去离子水中含有颗粒的气泡的运动。平均气泡直径和粒径的实验范围分别为 2.76-3.95 mm 和 58.2-196.35 μm。结果表明，随着包覆颗粒直径的增大和气泡直径的减小，终端上升速度减小。对于50%以下的覆盖率，终端上升速度随着覆盖率的增加而急剧下降；而从 50% 到接近 100%，则缓慢下降。急剧下降主要是因为颗粒固定了气泡表面并增加了阻力，这类似于液体中的污染物对气泡运动的影响。当覆盖率超过 50% 时，含颗粒气泡的界面迁移率完全受阻。缓慢下降的原因是由于水和载有颗粒的气泡之间的密度差减小导致净浮力下降。基于颗粒覆盖对气泡行为的影响，将测量数据与受污染液体中裸气泡的终端上升速度和阻力系数的可用模型的预测进行比较。比较结果表明，郑等人给出的终端上升速度模型。(2020) 和 Wang 等人给出的阻力系数模型。(2019) 可以扩展到含有颗粒的气泡，平均误差分别为 4.8% 和 0.6%。载有颗粒的气泡的纵横比与裸气泡的终端上升速度呈负相关。引入了与覆盖率和 Eo 数之间的比率相关的含颗粒气泡的新纵横比预测模型，以促进终端上升速度的直接预测。本研究中给出的含颗粒气泡行为的综合预测模型有助于含有气泡颗粒聚集体的设备的设计和优化。