CIESC Journal ›› 2013, Vol. 64 ›› Issue (5): 1586-1591.DOI: 10.3969/j.issn.0438-1157.2013.05.012

Previous Articles     Next Articles

Three-dimensional numerical simulation of multiple bubbles rising and interaction with lattice Boltzmann method

SUN Tao1, LI Weizhong1, YANG Baicheng2, ZHU Puqing3   

  1. 1. School of Energy and Power Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China;
    2. School of Navigation, Dalian Maritime University, Dalian 116024, Liaoning, China;
    3. Zhongcheng Machinery Manufacturing Company, Dagang Oilfield, Tianjin 300280, China
  • Received:2012-09-05 Revised:2012-12-08 Online:2013-05-05 Published:2013-05-05
  • Supported by:

    supported by the National Natural Science Foundation of China(51276030,50976017).

气泡群上升过程相互作用的格子 Boltzmann三维数值模拟

孙涛1, 李维仲1, 杨柏丞2, 祝普庆3   

  1. 1. 大连理工大学能源与动力学院, 辽宁 大连 116024;
    2. 大连海事大学航海学院, 辽宁 大连 116024;
    3. 大港油田中成机械制造公司, 天津 300280
  • 通讯作者: 李维仲
  • 作者简介:孙涛(1985-),男,博士研究生。
  • 基金资助:

    国家自然科学基金项目(51276030,50976017)。

Abstract: Multiple bubbles rising and interaction in a quiescent viscous incompressible fluid was simulated with three-dimensional lattice Boltzmann free energy model with a large density ratio.In order to avoid numerical instability caused by a large density ratio, eight-point and eighteen-point difference schemes were used to calculate the first and the second order derivative 1586Φ and 15862Φ, respectively.The results of simulation presented the effects of initial bubble size and location on the flow field induced by rising bubbles and on the evolution of bubble shape.For multiple rising bubbles with the same size, the trailing bubble was influenced by the wake of the leading bubble.The strength of influence depended on both the distance between bubbles and the relative position.With the increase of distance, the strength decreased gradually.For multiple bubbles with different sizes, however, the larger bubble always strongly affected the smaller one at any initial size and location.

Key words: three-dimensional numerical simulation, lattice Boltzmann method, multiple bubbles, interactions

摘要: 应用格子Boltzmann自由能模型,在三维空间里模拟了大密度比气泡群在静止的黏性不可压缩流体中上升过程以及它们之间的相互作用。为了避免气液密度比过大造成数值不稳定问题,采用八点差分和十八点差分格式分别求解一阶1586Φ和二阶15862Φ。模拟结果表明,气泡的初始大小和初始位置影响上升气泡周围的流场以及形状变化。当直径相同的气泡群上升时,位置靠下的气泡会受到位置靠上气泡尾迹的影响,并有很明显的形状变化。气泡之间的影响程度取决于两气泡之间的距离及相对位置,并且随着距离增加而逐渐减小。然而直径不同的气泡群上升时,不管初始位置如何,大气泡总会对小气泡造成强烈的影响。

关键词: 三维数值模拟, 格子Boltzmann方法, 气泡群, 相互作用

CLC Number: