基于格子Boltzmann方法的液滴沿固壁铺展动态过程模拟

刘邱祖; 寇子明; 韩振南; 高贵军

doi:10.7498/aps.62.234701

摘要

矿井喷雾降尘是利用水雾使粉尘润湿沉降的过程，考虑到固体与液体间分子作用力，本文采用格子Boltzmann方法对液滴沿固壁铺展的动力学行为进行了数值模拟，结果发现铺展直径及动态接触角随时间呈指数规律，确定了液滴表面张力与铺展最大直径间的关系，固壁润湿性对铺展最大速度值影响较大，这些与物理试验及文献结果符合良好. 进一步考察了疏水性强的固壁，发现当液滴表面张力足够小时，铺展接触角可以在90°以下，与理论公式符合. 研究发现铺展过程中伴随着振荡，且铺展到最大时液膜有回缩趋势.

关键词:

Abstract

Spray dust mechanism is to use spray to wet and reduce the coal mine dust. Based on lattice Boltzmann method, the dynamic behaviors of droplet spreading on solid surface are simulated numerically in consideration of the molecules reaction between fluid and solid. Results show that the spreading diameter and dynamic contact angle change exponentially with time. The relationship between droplet surface tension and maximum spreading diameter is determined; it is shown that the wettability of solid surface has a great influence on the maximum spreading velocity. All the above numerical results are in good agreement with the experimental and theoretical results reported in the literature. Moreover, the solid surface with high hydrophobicity is further investigated. It is found that the spreading contact angle can be less than 90° if the droplet surface tension is small enough, which agrees well with the theoretical formula. The simulation also shows that there occurs oscillations in the spreading process and retraction when the droplet spreads to its maximum.

Keywords:

作者及机构信息

1.
太原理工大学, 机械工程学院, 太原 030024;

2.
山西省矿山流体控制工程技术研究中心, 太原 030024

基金项目: 国家自然科学基金联合基金（批准号：U1261107）资助的课题.

Authors and contacts

1.
Taiyuan University of Technology, College of Mechanical Engineering Taiyuan 030024, China;

2.
Shanxi Province Mine Fluid Control Engineering Ttechnology Rresearch Center, Taiyuan 030024, China

Funds: Project supported by the Joint Funds of the National Natural Science Foundation of China (Grant No. U1261107).

参考文献

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[4]	Su T X, Ma L Q, Liu M B, Chang J Z 2013 Acta Phys. Sin. 62 064702 (in Chinese) [苏铁熊, 马理强, 刘谋斌, 常建忠 2013 62 064702]
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施引文献

[1]	Li Y Q, Qin Y P, Yang X B 2011 Procedia Engineering (Beijing: Elsevier Press) 26 738
[2]	Jin L Z, Li J P, Sun Y F 2010 Prevention Theory of Mine Dust (Beijing: Scientific Press) p156 (in Chinese) [金龙哲, 李晋平, 孙玉福 2010 矿井粉尘防止理论 (北京: 科学出版社) 第156页]
[3]	Jiang T, Ouyang J, Zhao X K, Ren J L 2011 Acta Phys. Sin. 60 054701 (in Chinese) [蒋涛, 欧阳洁, 赵晓凯, 任金莲 2011 60 054701]
[4]	Su T X, Ma L Q, Liu M B, Chang J Z 2013 Acta Phys. Sin. 62 064702 (in Chinese) [苏铁熊, 马理强, 刘谋斌, 常建忠 2013 62 064702]
[5]	Ma L Q, Chang J Z, Liu H T, Liu M B 2012 Acta Phys. Sin. 61 054701 (in Chinese) [马理强, 常建忠, 刘汉涛, 刘谋斌 61 054701]
[6]	Gao Y F, Sun D Y 2010 Chin. Phys. Lett. 27 066802
[7]	Mei M F, Yu B M, Luo L, Cai J C 2010 Chin. Phys. Lett. 27 076802
[8]	Wang X D, Peng X F, Duan Y Y, Wang B X 2007 Chin. J. Chem. Eng. 15 730
[9]	Gong M G, Liu Y Y, Xu X L 2010 Chin. Phys. B 19 106801
[10]	Chang J Z, Liu M B, Liu H T 2008 Acta Phys. Sin. 57 3954 (in Chinese) [常建忠, 刘谋斌, 刘汉涛 57 3954]
[11]	He Y L, Wang Y, Li Q 2011 Theory and Applications of Lattice Boltzmann Method (Beijing: Scientific Press) p48 (in Chinese) [何雅玲, 王勇, 李庆 2011 格子 Boltzmann方法的理论及应用 (北京: 科学出版社) 第48页]
[12]	Xing X Q, Butler D L, Yang C 2006 Comp. Math. Sci. 7 1
[13]	Dupuis A, Yeomans J M 2005 Langmuir 21 2624
[14]	Wang W X, Shi J, Qiu B, Li H B 2010 Acta Phys. Sin. 59 8371 (in Chinese) [王文霞, 施娟, 邱冰, 李华兵 2008 59 8371]
[15]	Kawasaki A, Onishi J, Chen Y, Ohashi H 2007 Comp. Math. Appl. 55 1492
[16]	Shi Z Y, Hu G H, Zhou Z W 2010 Acta Phys. Sin. 59 2595 (in Chinese) [石自媛, 胡国辉, 周哲玮 2010 59 2595]
[17]	Zu Y Q, Shi W Q 2005 Acta Mech. Sin. 37 164 (in Chinese) [祖迎庆, 施卫平 2005 力学学报 37 164]
[18]	Yang J, Tan Y Z, Wu X K, Li G P 2009 Coal. Sci. 34 1105 (in Chinese) [杨静, 谭允祯, 伍修锟, 李改平 2009 煤炭学报 34 1105]
[19]	Lee K S, Starov V M 2009 Colloid. Interf. Sci. 329 361
[20]	Zhu Z Q, Wang Y, Liu Q S 2012 Jeng. Ther. 33 251 (in Chinese) [朱志强, 汪洋, 刘秋生 2012 工程热 33 251]
[21]	Clanet C, Beguin C, Richard D 2004 J. Fluid. Mech. 517 199
[22]	Hu G H, Xu A J, Xu Z, Zhou Z W 2008 Phys. Fluids. 20 102101
[23]	Siddhartha F L, Vivek V B, Nigam K D P 2007 Chem. Eng. Sci. 62 7214

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