基于离散元法的颗粒-气泡间相互作用行为模拟研究

Simulation of particle-bubble interaction behavior based on Discrete Element Method

  • 摘要: 颗粒-气泡间相互作用行为的研究对理解浮选原理至关重要。在颗粒-气泡间力学理论的基础上采用离散元法(Discrete Element Method, DEM)构建了颗粒-气泡间相互作用行为的模拟系统,模拟了粒度为0.1 mm,密度级分别为-1.3、1.3~1.4、1.4~1.5、1.5~1.6、1.6~1.7、+1.7 g/cm3的球形煤颗粒与固定气泡在静止水环境中的相互作用行为。研究了颗粒-气泡间相互作用行为的各阶段以及各阶段颗粒速度变化规律、颗粒密度与颗粒-气泡间临界碰撞角的关系、颗粒密度与颗粒捕获概率的关系。模拟结果表明,颗粒-气泡间相互作用行为可分为5个阶段:自由沉降阶段、绕流运动阶段、颗粒在液膜上滑动阶段、液膜破裂并形成三相接触线(TPC)阶段、伴随TPC滑动阶段。颗粒以自由沉降末速接近气泡,在临近气泡表面时会做绕流运动,运动轨迹发生改变。当颗粒与气泡发生碰撞时,其速度降至最小值。碰撞后颗粒随即在气泡表面滑动,滑动速度先逐渐增加,然后急剧下降,再继续增加,在气泡“赤道”位置附近时其速度达到最大值,越过“赤道”后速度开始逐渐降低,最终停留在气泡底部。颗粒在气泡表面的滑动速度近似关于气泡“赤道”对称。当颗粒的密度级从-1.3 g/cm3增加至+1.7 g/cm3时,颗粒-气泡间临界碰撞角从50.77°降低至31.93°,气泡对颗粒的捕获概率从51.74%降低至22.04%。

     

    Abstract: The study of particle-bubble interaction behavior is essential for understanding the mechanism of flotation. Based on the theory of particle-bubble mechanics, the Discrete Element Method(DEM)was used to build a simulation system for particle-bubble interaction behavior. The interaction behavior between spherical coal particles with the particle size of 0.1 mm and densities of-1.3,1.3-1.4,1.4-1.5,1.5-1.6,1.6-1.7,+1.7 g/cm3,and fixed bubbles in a still water environment was simulated. The various stages of particle bubble interaction behavior and the variation law of particle velocity in each stage, the relationship between particle density and critical collision angle between particle and bubble, and the relationship between particle density and particle capture probability were studied. The simulation results show that the particle-bubble interaction behavior can be divided into five stages: free settlement, flow about a bubble, sliding with a liquid film, liquid film rupture & three-phase contact line(TPC)formation, and sliding with a TPC. The particle approaches the bubble at terminal velocity and will flow about a bubble and the motion trajectory will change. When a particle collides with bubbles, its velocity decreases to the minimum. After the collision, the particle slide on the bubble surface. The sliding speed first increases gradually, then decreases sharply, and then continues to increase. When the particle reaches the “equator” of the bubble, its speed reaches the maximum. After crossing the “equator”,the speed begins to decrease gradually and finally stays at the bottom of the bubble. The sliding velocity of particles on the bubble surface is approximately symmetrical about the “equator” of the bubble. When the density of particles increases from-1.3 g/cm3 to +1.7 g/cm3,the critical collision angle between particles and bubbles decreases from 50.77° to 31.93°,and the capture probability of bubbles to particles decreases from 51.74% to 22.04%.

     

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