工程科学学报，第40卷，第12期：1423-1433,2018年12月 Chinese Joural of Engineering,Vol.40,No.12:1423-1433,December 2018 DOI:10.13374/j.issn2095-9389.2018.12.001;http://journals.ustb.edu.cn 浮选过程中颗粒-气泡黏附作用机理及研究进展 王 超，孙春宝四，寇珏 北京科技大学金属矿山高效开采与安全教育部重点实验室，北京100083 区通信作者，E-mail:suncb@usth.edu.cm 摘要系统分析总结了浮选过程中颗粒与气泡的黏附概率模型，EDLVO理论、颗粒-气泡集合体的受力分析、影响因素分析 和颗粒-气泡黏附的研究进展.基于接触时间、感应时间的方法和能量势垒的方法，分别从动力学和热力学的角度分析总结了 黏附概率模型，并从动力学和热力学的角度解释了颗粒大小、气泡大小、颗粒疏水性、颗粒表面粗糙度和溶液pH对黏附概率 的影响，对静态环境和湍流环境中颗粒-气泡集合体进行了受力分析，颗粒和气泡的黏附力有毛细作用力、液体静压力和浮 力，静态环境中的脱附力只有重力，但是湍流环境中的脱附力还包括振荡力和离心力.很多研究学者利用先进的仪器和检测 手段对颗粒~气泡的黏附做了大量的研究，取得了大量研究成果.颗粒-气泡黏附作用过程相当复杂，试验研究时简化了作用 条件，目前理论不能满意解释黏附过程，需要结合实际进行更深层次、更全面的研究. 关键词颗粒：浮选气泡；黏附：概率模型：EDLVO理论：受力分析：影响因素 分类号TD923 Mechanism and research progress of the bubble-particle attachment in flotation WANG Chao,SUN Chun-bao,KOU Jue Key Laboratory of the Ministry of Education of China for High-efficient Mining and Safety of Metal Mines,University of Science and Technology Beijing, Beijing 100083,China Corresponding author,E-mail:suncb@ustb.edu.cn ABSTRACT The interaction process between particles and bubbles can be classified as collision,attachment,and detachment;all three sub-processes determine the collection probability between particles and bubbles.Upon collision,the hydrophobic particles strongly attach to the rising air bubbles,which carry them to the surface,thereby overflowing the flotation cell in the collecting launder. Hydrophilic particles unattached to the rising air bubbles are left to settle at the bottom of the cell to be discharged.Whether the target mineral particles can attach to the rising air bubbles is the key to froth flotation.Therefore,studying bubble-particle attachment to im- prove the flotation efficiency is quite significant.The bubble-particle attachment probability model,EDLVO theory,force analysis of the bubble-particle aggregate,influence factors,and experimental progress of the bubble-particle attachment were systematically ana- lyzed.Based on the methods of contact time,induction time,and energy barrier,the adhesion probability model was analyzed from the perspectives of dynamics and thermodynamics,and the effect of particle size,bubble size,particle hydrophobicity,particle surface roughness,and pH values on adhesion probability were explained.The force analysis of the bubble-particle aggregate under quiescent and turbulent conditions was conducted.Typically,there exist three types of attachment forces of the bubble-particle aggregate:capil- lary force,hydrostatic pressure force,and buoyancy force.The weight force is the only detachment force of the bubble-particle aggre- gate in the quiescent condition,but the vibration and centrifugal forces are also detachment forces in the turbulent condition.Many re- searchers have conducted substantial research on particle-bubble adhesion using advanced instruments and detection means,and have made several research achievements.However,because bubble-particle interaction is extremely complicated,the interaction conditions are simplified during experimental study.Therefore,the attachment process is not satisfactorily described by the available theory. 收稿日期：2017-11-27工程科学学报,第 40 卷,第 12 期:1423鄄鄄1433,2018 年 12 月 Chinese Journal of Engineering, Vol. 40, No. 12: 1423鄄鄄1433, December 2018 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2018. 12. 001; http: / / journals. ustb. edu. cn 浮选过程中颗粒鄄鄄气泡黏附作用机理及研究进展 王 超, 孙春宝苣 , 寇 珏 北京科技大学金属矿山高效开采与安全教育部重点实验室, 北京 100083 苣通信作者,E鄄mail:suncb@ ustb. edu. cn 摘 要 系统分析总结了浮选过程中颗粒与气泡的黏附概率模型、EDLVO 理论、颗粒鄄鄄气泡集合体的受力分析、影响因素分析 和颗粒鄄鄄气泡黏附的研究进展. 基于接触时间、感应时间的方法和能量势垒的方法,分别从动力学和热力学的角度分析总结了 黏附概率模型,并从动力学和热力学的角度解释了颗粒大小、气泡大小、颗粒疏水性、颗粒表面粗糙度和溶液 pH 对黏附概率 的影响,对静态环境和湍流环境中颗粒鄄鄄气泡集合体进行了受力分析,颗粒和气泡的黏附力有毛细作用力、液体静压力和浮 力,静态环境中的脱附力只有重力,但是湍流环境中的脱附力还包括振荡力和离心力. 很多研究学者利用先进的仪器和检测 手段对颗粒鄄鄄气泡的黏附做了大量的研究,取得了大量研究成果. 颗粒鄄鄄气泡黏附作用过程相当复杂,试验研究时简化了作用 条件,目前理论不能满意解释黏附过程,需要结合实际进行更深层次、更全面的研究. 关键词 颗粒; 浮选气泡; 黏附; 概率模型; EDLVO 理论; 受力分析; 影响因素 分类号 TD923 收稿日期: 2017鄄鄄11鄄鄄27 Mechanism and research progress of the bubble鄄particle attachment in flotation WANG Chao, SUN Chun鄄bao 苣 , KOU Jue Key Laboratory of the Ministry of Education of China for High鄄efficient Mining and Safety of Metal Mines, University of Science and Technology Beijing, Beijing 100083, China 苣Corresponding author, E鄄mail: suncb@ ustb. edu. cn ABSTRACT The interaction process between particles and bubbles can be classified as collision, attachment, and detachment; all three sub鄄processes determine the collection probability between particles and bubbles. Upon collision, the hydrophobic particles strongly attach to the rising air bubbles, which carry them to the surface, thereby overflowing the flotation cell in the collecting launder. Hydrophilic particles unattached to the rising air bubbles are left to settle at the bottom of the cell to be discharged. Whether the target mineral particles can attach to the rising air bubbles is the key to froth flotation. Therefore, studying bubble鄄particle attachment to im鄄 prove the flotation efficiency is quite significant. The bubble鄄particle attachment probability model, EDLVO theory, force analysis of the bubble鄄particle aggregate, influence factors, and experimental progress of the bubble鄄particle attachment were systematically ana鄄 lyzed. Based on the methods of contact time, induction time, and energy barrier, the adhesion probability model was analyzed from the perspectives of dynamics and thermodynamics, and the effect of particle size, bubble size, particle hydrophobicity, particle surface roughness, and pH values on adhesion probability were explained. The force analysis of the bubble鄄particle aggregate under quiescent and turbulent conditions was conducted. Typically, there exist three types of attachment forces of the bubble鄄particle aggregate: capil鄄 lary force, hydrostatic pressure force, and buoyancy force. The weight force is the only detachment force of the bubble鄄particle aggre鄄 gate in the quiescent condition, but the vibration and centrifugal forces are also detachment forces in the turbulent condition. Many re鄄 searchers have conducted substantial research on particle鄄bubble adhesion using advanced instruments and detection means, and have made several research achievements. However, because bubble鄄particle interaction is extremely complicated, the interaction conditions are simplified during experimental study. Therefore, the attachment process is not satisfactorily described by the available theory