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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.
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Keywords:
- lattice Boltzmann method /
- bubble /
- complex wall /
- gas-liquid-solid coupling
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[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 物理学报 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 物理学报 62 214703]
[60] Cheng M, Lou J, Lim T T 2013 Phys. Fluids 25 067104
[61] -
[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 物理学报 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 物理学报 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 物理学报 62 214703]
[60] Cheng M, Lou J, Lim T T 2013 Phys. Fluids 25 067104
[61]
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