相同尺度下气泡与复杂壁面的耦合特性研究

史冬岩; 王志凯; 张阿漫

doi:10.7498/aps.63.174701

摘要

采用格子Boltzmann方法（LBM）建立了气液固三相耦合的动力学模型，研究了相同尺度下上浮气泡与复杂壁面的相互耦合作用. 首先，基于黏性流体理论，通过构建一组格子Boltzmann（LB）方程来描述气液两相的运动，并以LB离散体积力的形式计入了黏性力、表面张力和重力. 同时，采用LBM中的Half-way反弹模型与有限差分格式相结合的方式进行固壁边界的处理. 然后，利用本文建立的模型，对不同特征尺寸比条件下，气泡与考虑边缘效应的平面固壁和曲面固壁的耦合特性进行了研究. 研究发现固壁边界条件以及特征尺寸比对气泡的运动和拓扑结构的变化都具有明显的非线性影响. 最后，研究了流体属性对气泡与复杂壁面耦合规律的影响.

关键词:

Abstract

A gas-liquid-solid three-phase coupling dynamic model is established using lattice Boltzmann method (LBM). Interaction between rising bubble and complex solid walls at the same scale is studied. Firstly, based on the viscous fluid theory, a group of lattice Boltzmann equations are developed to describe the gas-liquid two-phase campaign by considering the viscosity, surface tension, and gravity in the form of a LB discrete body force. At the same time, combined with the finite difference scheme, the half-way bounce back model in LBM is adopted to deal with the solid boundary condition. Then, under the conditions of different feature size ratios, the coupling characteristics between bubbles and plane wall, taking into consideration the effect of boundaries and curved wall, are studied using the newly built model. Results show that both the solid wall condition and the feature size ratio have significant nonlinear effects on bubble movement and topology changes. Finally, the effect of fluid properties on the coupling regularity of bubbles and complex walls is researched.

Keywords:

作者及机构信息

1.
机电工程学院哈尔滨工程大学, 哈尔滨 150001;

2.
船舶工程学院哈尔滨工程大学, 哈尔滨 150001

基金项目: 中组部青年拔尖人才支持计划，新世纪优秀人才支持计划（批准号：NCET100054）和国防基础科研（批准号：B2420133001）资助的课题.

Authors and contacts

1.
College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;

2.
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China

Funds: Project supported by the Department of Youth Tip-Top Talent Support Programme, the Program for New Century Excellent Talents in University, China (Grant No. NCET100054), and the Defense Industrial Technology Development Program, China (Grant No. B2420133001).

参考文献

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施引文献

[1]	Chen X P, Zhong C W, Yuan X L 2011 Comput. Math. Appl. 61 3577
[2]	Ji B, Luo X W, Wu Y L, Xu H Y 2012 Chin. Phys. Lett. 29 076401
[3]
[4]
[5]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2012 Acta Phys. Sin. 61 224702 (in Chinese)[刘云龙, 张阿漫, 王诗平, 田昭丽 2012 61 224702]
[6]
[7]	Zhang A M, Yang W S, Huang C, Ming F R 2012 Comput. Fluids 71 169
[8]
[9]	Fujiwara A, Minato D, Hishida K 2004 Int. J. Heat Fluid Fl. 25 481
[10]	Clift R, Grace J R, Weber M E 2005 Bubbles, drops, and particles (1st Ed.) (New York: Academic Press) p23
[11]
[12]
[13]	Bhaga D, Weber M E 1980 J. Fluid Mech. 105 61
[14]
[15]	Duineveld P C 1998 Appl. Sci. Res. 58 409
[16]	Zhang A M, Yao X L, Feng L H 2009 Ocean Eng. 36 295
[17]
[18]	Zhang A M, Yao X L 2008 Chinese Phys. B 17 0927
[19]
[20]
[21]	Unverdi S O, Tryggvason G 1992 J. Comput. Phys. 100 25
[22]
[23]	Takahira H, Horiuchi T, Banerjee S 2004 J. Fluid Eng. 126 578
[24]	Yu Z, Yang H, Fan L S 2011 Chem. Eng. Sci. 66 3441
[25]
[26]
[27]	Delnoij E, Kuipers J A M, Swaaij W P M 1998 Third International Conference on Multiphase Flow Lydon, France, June 8-12
[28]	Popinet S, Zaleski S 2002 J. Fluid Mech. 464 137
[29]
[30]
[31]	Yang G Q, Du B, Fan L S 2007 Chem. Eng. Sci. 62 2
[32]	Hassan Y A, Ortiz-Villafuerte J, Schmidl W D 2001 Int. J. Multiphas. Flow 21 817
[33]
[34]	Amaya B L, Lee T 2011 Chem. Eng. Sci. 66 935
[35]
[36]
[37]	Ghosh S, Patil P, Mishra S C, Das A K, Das P K 2012 Eng. Appl. Comp. Fluid 6 383
[38]	Shi D Y, Wang Z K, Zhang A M 2014 Acta Phys. Sin. 63 074703 (in Chinese)[史冬岩, 王志凯, 张阿漫 2014 63 074703]
[39]
[40]	Jacqmin D 1999 J. Comput. Phys. 155 96
[41]
[42]
[43]	Zheng H W, Shu C, Chew Y T 2006 J. Comput. Phys. 218 353
[44]	Lee T, Lin C L 2005 J. Comput. Phys. 206 16
[45]
[46]
[47]	Huang H B, Zheng H W, Lu X Y, Shu C 2010 Int. J. Numer. Meth. Fl. 63 1193
[48]
[49]	He X Y, Luo L S 1997 J. Stat. Phys. 88 927
[50]
[51]	Guo Z L, Zheng C G, Shi B C 2002 Phys. Rev. E 65 046308
[52]	Lamura A, Succi S 2003 Int. J. Mod. Phys. B 17 145
[53]
[54]
[55]	Shi D Y, Wang Z K, Zhang A M 2014 Chinese Journal of Theoretical and Applied Mechanics 46 224 (in Chinese)[史冬岩, 王志凯, 张阿漫 2014 力学学报 46 224]
[56]	Yoshno M, Mizutani Y 2006 Math. Comput. Simulat. 72 264
[57]
[58]
[59]	Liu Y L, Wang Y, Zhang A M 2013 Acta Phys. Sin. 62 214703 (in Chinese)[刘云龙, 汪玉, 张阿漫 2013 62 214703]
[60]	Cheng M, Lou J, Lim T T 2013 Phys. Fluids 25 067104
[61]

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