气泡群上升过程相互作用的格子 Boltzmann三维数值模拟

doi:10.3969/j.issn.0438-1157.2013.05.012

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

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. 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

收稿日期:2012-09-05 修回日期:2012-12-08 出版日期:2013-05-05 发布日期:2013-05-05
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)。

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

SUN Tao¹, LI Weizhong¹, YANG Baicheng², ZHU Puqing³

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).

摘要/Abstract

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

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

中图分类号:

O359

孙涛, 李维仲, 杨柏丞, 祝普庆. 气泡群上升过程相互作用的格子 Boltzmann三维数值模拟[J]. 化工学报, 2013, 64(5): 1586-1591.

SUN Tao, LI Weizhong, YANG Baicheng, ZHU Puqing. Three-dimensional numerical simulation of multiple bubbles rising and interaction with lattice Boltzmann method[J]. CIESC Journal, 2013, 64(5): 1586-1591.

参考文献 15

[1]	Haberman W L, Morton R K.An experimental study of bubbles moving in liquids[J].Transactions of the American Society of Civil Engineers,1954,121(1):227-250
[2]	Hnat J G,BuckmasterJ D.Spherical cap bubbles and skirt formation[J].Physics of Fluids, 1976,19:182
[3]	Bhaga D, Weber M E.Bubbles in viscous liquids:shapes, wakes and velocities[J].Journal of Fluid Mechanics, 1981,105(1):61-85
[4]	Manga M, Stone H A.Collective hydrodynamics of deformable drops and bubbles in dilute low Reynolds number suspensions[J].Journal of Fluid Mechanics, 1995,300(1):231-263
[5]	Rothman D H,Keller J M.Immiscible cellular-automation fluids[J].Journal of Statistical Physics, 1988, 52(3):1119-1127
[6]	Gnnstensen A K,Rothman D H,Zaleski S.Lattice Boltzmann model of immiscible fluids[J].Physical Review A, 1991, 43(8):4320-4327
[7]	Shan X,Doolen G.Multicomponent lattice-Boltzmann model with interparticle interaction[J].Journal of Statistical Physics, 1995,81(1):379-393
[8]	Shan X,He X.Discretization of the velocity space in the solution of the Boltzmann equation[J].Physical Review Letters, 1998,80(1):65-68
[9]	Swift M R, Osborn W R,Yeomans J M.Lattice Boltzmann simulation of nonideal fluids[J].Physical Review Letters, 1995,75(5):830-833
[10]	Zheng H W,Shu C,Chew Y T.Lattice Boltzmann interface capturing method for incompressible flows[J].Physical Review E, 2005, 72(5):353-371
[11]	Inamuro T, et al.A lattice Boltzmann method for incompressible two-phase flows with large density differences[J].Journal of Computational Physics, 2004,198(2):628-644
[12]	Huang H, et al.An evaluation of a 3D free-energy-based lattice Boltzmann model for multiphase flows with large density ratio[J].International Journal for Numerical Methods in Fluids, 2009,63(10):1193-1207
[13]	Gupta A,Kumar R.Lattice Boltzmann simulation to study multiple bubble dynamics[J].International Journal of Heat and Mass Transfer, 2008,51(21/22):5192-5203
[14]	Cahn J W,Hilliard J E.Free energy of a nonuniform system(Ⅰ):Interfacial free energy[J].The Journal of Chemical Physics, 1958,28:258-267
[15]	Lee T,Lin C L.A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio[J].Journal of Computational Physics, 2005,206(1):16-47

气泡群上升过程相互作用的格子 Boltzmann三维数值模拟

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

PDF (PC)

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献 15

相关文章 15

编辑推荐

Metrics

本文评价

[1]	张缘良, 栾昕奇, 苏伟格, 李畅浩, 赵钟兴, 周利琴, 陈健民, 黄艳, 赵祯霞. 离子液体复合萃取剂选择性萃取尼古丁的研究及DFT计算[J]. 化工学报, 2023, 74(7): 2947-2956.
[2]	代佳琳, 毕唯东, 雍玉梅, 陈文强, 莫晗旸, 孙兵, 杨超. 热物性对混合型CPCMs固液相变特性影响模拟研究[J]. 化工学报, 2023, 74(5): 1914-1927.
[3]	贾龙菲, 付少童, 向星, 张华海, 张弢, 王利民. 颗粒振动影响动量传递过程的格子Boltzmann方法模拟[J]. 化工学报, 2023, 74(2): 735-747.
[4]	孔令菲, 陈延佩, 王维. 气固流态化中颗粒介尺度结构的动力学研究[J]. 化工学报, 2022, 73(6): 2486-2495.
[5]	兰文杰, 胡晓洁, 蔡迪宗. 界面探针法测量液滴与固体壁面间相互作用力[J]. 化工学报, 2022, 73(3): 1119-1126.
[6]	杨英杰, 杨赫, 朱家龙, 郭双淇, 尚妍, 李扬, 靳立军, 胡浩权. 淖毛湖煤慢速热解过程官能团相互作用[J]. 化工学报, 2022, 73(2): 865-875.
[7]	魏小兰, 谢佩, 王维龙, 陆建峰, 丁静. 含钙三元氯化物体系相图计算与熔盐热稳定性[J]. 化工学报, 2021, 72(6): 3074-3083.
[8]	陈安, 骆广生, 徐建鸿. 液滴间相互作用机制定量探究的研究进展[J]. 化工学报, 2021, 72(12): 5955-5964.
[9]	刘学文, 李金京, 全晓军, 熊伟. 单个固体颗粒促进薄液膜破裂的格子Boltzmann研究[J]. 化工学报, 2020, 71(7): 3091-3097.
[10]	方乘, 杨盛, 吴云, 张宏伟, 王捷, 王鲁天, 郝松泽. 絮体表面形态对膜污染预测的影响[J]. 化工学报, 2020, 71(2): 715-723.
[11]	王韬, 刘向阳, 何茂刚. 离子液体[bmim][Tf₂N]的分子动力学模拟[J]. 化工学报, 2019, 70(S2): 258-264.
[12]	于冬雪, 惠贺龙, 何京东, 李松庚. 塑料与蜡（重油）催化共热解相互作用研究[J]. 化工学报, 2019, 70(8): 2971-2980.
[13]	梁婷, 张丹, 杨庆忠, 严俊杰. 纯水静态闪蒸起始阶段气泡群时空分布规律的实验研究[J]. 化工学报, 2019, 70(1): 49-55.
[14]	王鑫, 杨斌鑫. 耦合格子Boltzmann的聚合物结晶相场方法[J]. 化工学报, 2018, 69(S2): 193-199.
[15]	何媚质, 杨鲁伟, 张振涛, 杨俊玲. 纳米材料/十四酸混合相变蓄热材料的制备与特性[J]. 化工学报, 2018, 69(9): 4097-4105.