浮选气泡在搅拌槽中运动与变形数值模拟  

Simulation of the motion and deformation of flotation bubbles in a stirred tank

作　　者：李凯旋 李政权 张博群 王贻得 石昊宇 LI Kaixuan;LI Zhengquan;ZHANG Boqun;WANG Yide;SHI Haoyu(Jiangxi Provincial Key Laboratory for Simulation and Modelling of Particulate Systems,Jiangxi University of Science&Technology,Ganzhou 341000,China)

机构地区：[1]江西理工大学江西省颗粒系统仿真与模拟重点实验室,江西赣州341000

出　　处：《中国有色冶金》2024年第5期123-131,共9页China Nonferrous Metallurgy

基　　金：国家自然科学基金资助项目(52130001);江西理工大学高层次人才科研启动项目(205200100606)。

摘　　要：本文旨在利用流体体积(Volume of Fluid,VOF)方法捕捉和界面重构,对单个三维气泡在搅拌槽中的运动进行了数值模拟,研究两相相互作用过程中气泡在搅拌槽中的运动及变形。在考虑表面张力和重力的情况下,实时计算了质量和动量守恒方程。压力-速度耦合通过SIMPLE方案实现,界面重构采用几何重构PLIC方案。本文分析了在搅拌槽中搅拌速度、气泡尺寸、表面张力、密度比、气泡初始位置对气泡运动与变形的影响。结果表明,搅拌产生的液体流动能够改变气泡的形状,而增加搅拌速度则能加速气泡的运动和变形过程;表面张力能够维持气泡的形状,阻止其发生变形;气泡初始尺寸与密度比影响气泡的速度,初始尺寸与密度比越大,速度越大,变形越明显;气泡的初始位置对气泡的运动轨迹和变形有影响,距离搅拌轴越近,所受液体流动的作用力逐渐增大,导致气泡的变形更加显著,到达搅拌区域的时刻更早。本文研究结果可对优化浮选工艺参数,提高矿物浮选效率提供理论参考依据。In this paper,the purpose of this paper is to numerically simulate the motion of a single three⁃dimensional bubble in the stirring tank by using the volume of fluid(VOF)method to capture and reconstruct the interface,and to study the motion and deformation of the bubble in the stirring tank during the interaction between the two phases.Taking into account surface tension and gravity,the equations for the conservation of mass and momentum are calculated in real time.The pressure⁃velocity coupling is realized by the SIMPLE scheme,and the interface reconstruction is achieved by the geometric reconstruction PLIC scheme.The effects of stirring speed,bubble size,surface tension,density ratio and initial position of bubbles on the motion and deformation of bubbles in the stirring tank were analyzed.The results show that the stirring speed can change the shape of the bubble,and the surface tension can maintain the shape of the bubble and prevent the deformation of the bubble.The bubble size and density ratio affect the velocity of the bubble,which further affects the deformation behavior of the bubble,and the difference of the initial position of the bubble has a significant impact on the movement and deformation of the bubble.The results of this paper can provide a theoretical reference for optimizing the flotation process parameters and improving the flotation efficiency of minerals.

关 键 词：浮选气泡 VOF方法 气液两相流 搅拌槽 数值模拟 搅拌速度 气泡尺寸 初始位置 

分 类 号：TD923[矿业工程—选矿]