基于直接数值模拟的双气泡碰撞过程液膜演化行为研究

INVESTIGATION ON BEHAVIOR OF LIQUID FILM DURING BUBBLE COLLISION USING DIRECT NUMERICAL SIMULATION

  • 摘要: 气泡广泛存在于浮选、冶金和海洋工程等领域,液膜演化行为在双气泡聚合过程中具有关键作用。受限于物理实验条件与数值仿真技术,鲜有研究能够直接观测气泡碰撞过程中液膜的动态演化。该文基于Basilisk软件利用直接数值模拟(Direct Numerical Simulation,DNS)方法,研究了静水中两个气泡碰撞时液膜排液的演化过程。通过采用改进的自适应网格细化方法(其最小网格尺寸可达10−7 m),有效克服了因分辨率不足导致的液膜破裂问题,成功捕捉了碰撞过程中液膜的微观动态演化。基于 DNS 结果,建立了判定液膜形成的科学标准。结果表明:初始液膜厚度范围在10−6 m~10−4 m,且随着气泡尺寸和碰撞速度的增加而增大;液膜长度随时间演变呈两阶段特征:第一阶段呈较为缓慢非线性增长,第二阶段则过度为快速的近似线性增长;气泡尺寸对液膜长度的演变影响较小。集合理论分析和DNS数据,建立了初始液膜厚度和液膜长度的数学表达。

     

    Abstract: Bubbles are widely present in fields such as flotation, metallurgy, and marine engineering, and the evolution behavior of liquid films plays a crucial role in the coalescence process of double bubbles. Due to limitations in physical experimental conditions and in numerical simulation techniques, few studies have been able to directly observe the dynamic evolution of liquid films during bubble collisions. Based on the Basilisk software, this study employs the Direct Numerical Simulation method to investigate the evolution process of liquid film drainage during the collision of two bubbles in still water. By adopting an improved adaptive grid refinement method (with a minimum grid size of 10−7 m), the problem of liquid film rupture caused by insufficient resolution is effectively overcome, successfully capturing the microscopic dynamic evolution of the liquid film during the collision process. Based on the Direct Numerical Simulation results, a scientific criterion for determining the formation of liquid films is established. The results indicate that the initial liquid film thickness ranges from 10−6 m to 10−4 m, and increases with the increase of bubble size and collision velocity; that the evolution of liquid film length exhibits a two-stage characteristic over time—the first stage shows a relatively slow nonlinear growth, while the second stage transitions to a rapid approximate linear growth; and that bubble size has a small impact on the evolution of liquid film length. By combining theoretical analysis and DNS data, mathematical expressions for initial liquid film thickness and for liquid film length are established.

     

/

返回文章
返回