气泡黏性对上升运动特性影响的界面追踪算法模拟
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摘要
为了研究气泡黏性对其上升过程的速度、形态以及阻力系数的影响,基于界面追踪法(front-tracking method,FTM)模拟了气泡在黏性流体中的运动,通过改变气泡黏性来改变气液黏度比,研究了气泡内的速度分布以及气泡周围黏性剪切应力的分布和变化特点。研究表明:气液黏度比较小时,流场中的黏性耗散很强,气泡的黏度主要影响其平衡速度和形态,气液黏度比较大时,黏性耗散减弱,其平衡速度和形态基本无变化,气泡黏性主要影响气泡内的速度分布;气泡上升过程中的阻力系数随黏度比增大而减小,黏性剪切应力则呈现相反的变化趋势。气泡上升过程中,周围的黏性剪切应力关于中心轴线对称分布,出现最大黏性切应力的区域由气泡两侧逐渐向气泡底部边缘过渡;气泡尾部边缘的形变引起气泡尾部的表面张力不平衡,使得气泡的形态发生改变。
The front-tracking method was used to simulate the process of bubble rising in viscous liquid. Different the viscous ratio between bubble and liquid was choosed by changing bubble viscosity to investigate its effect on bubble's terminal velocity,shape and drag coefficient. By comparing the difference in velocity gradient inside the bubble,the viscous dissipation under various viscous ratios is well presented in two phase liquids. A detailed study of viscous shear force during bubble rising motion is also presented. It's found that the viscous dissipation in flow field is very strong when the viscous ratios are small,the alteration in bubble viscosity has a prominent influence on bubble's terminal velocity and shape; the viscous dissipation in the flow field becomes weaker as the viscous ratios turn to large,bubble's viscosity has a remarkable effect on velocity distribution inside bubble under this circumstance.
The front-tracking method was used to simulate the process of bubble rising in viscous liquid. Different the viscous ratio between bubble and liquid was choosed by changing bubble viscosity to investigate its effect on bubble's terminal velocity,shape and drag coefficient. By comparing the difference in velocity gradient inside the bubble,the viscous dissipation under various viscous ratios is well presented in two phase liquids. A detailed study of viscous shear force during bubble rising motion is also presented. It's found that the viscous dissipation in flow field is very strong when the viscous ratios are small,the alteration in bubble viscosity has a prominent influence on bubble's terminal velocity and shape; the viscous dissipation in the flow field becomes weaker as the viscous ratios turn to large,bubble's viscosity has a remarkable effect on velocity distribution inside bubble under this circumstance.
引文
1 Tryggvason G,Bunner B,Esmaeeli A,et al.A front tracking method for the computations of multiphase flow.Journal of Computational Physics,2001;169:708-759
2 Hua J,Lou J.Numerical simulation of bubble rising in viscous liquid.Journal of Computational Physics,2007;222(2):769-795
3 Mitsuhiro O,Tatsuya I,Yutaka Y,et al.A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids.Journal of Multiphase Flow,2005;31:223-237
4 Bhaga D,Weber M E.Bubbles in viscous liquids:shapes,wakes and velocities.Journal of Fluid Mechanics,2006;105(105):61-85
5何丹,李彦鹏,刘艳艳.初始形状对浮升气泡动力特性的影响.西安交通大学学报,2011;45(1):43-47He Dan,Li Yanpeng,Liu Yanyan.Effect of initial bubble shape on dynamics of a buoyancy-driven bubble.Journal of Xi'an Jiaotong University,2011;45(1):43-47
6李隆键,张磊,朱文冰,等.基于VOSET方法模拟并排气泡的上升过程.计算物理,2015;32(5):545-552Li Longjian,Zhang Lei,Zhu Wenbing,et al.Simulation of a pair of bubbles rising side by side using VOSET method.Chinese Journal of Computational Physics,2015;32(5):545-552
7 Amaya-Bower L,Lee T.Single bubble rising dynamics for moderate Reynolds number using lattice boltzmann method.Computers&Fluids,2010;39:1191-1207
8陈斌,Kawamura T,Kodama Y.静止水中单个上升气泡的直接数值模拟.工程热物理学报,2005;26(6):82-84Chen Bin,Kawamura T,Kodama Y.Direct numerical simulations of a single bubble rising in still water.Journal of Engineering Thermophysics,2005;26(6):82-84
9鞠花,陈刚,李国栋.静水中气泡上升运动特性的数值模拟研究.西安理工大学学报,2011;27:344-349Ju Hua,Chen Gang,Li Guodong.Research on numerical simulation of motion behaviors of single bubble rising in still water.Journal of Xi'an University of Technology,2011;27:344-349
10张阿漫,姚熊亮.近壁面气泡的运动规律研究.物理学报,2008;57:1662-1671Zhang Aman,Yao Xiongliang.The law of the bubble motion near the wall.Acta Physica Sinica,2008;57:1662-1671
11 Raymond F,Rosant J M.A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids.Chemical Engineering Science,2000;55:943-955
12卢作伟,崔桂香,张兆顺.气泡在液体中运动过程的数值模拟.计算力学学报,1997;(2):125-133Lu Zuowei,Cui Guixiang,Zhang Zhaoshun.Numerical simulation of the gas bubble motion in liquid.Chinese Journal of Computational Mechanics,1997;(2):125-133
13张志友,金良安,苑志江,等.考虑盐度因素的水中气泡上升规律表征研究.科学技术与工程,2017;17(15):334-338Zhang Zhiyou,Jin Liangan,Yuan Zhijiang,et al.The rising bubble motion characteristics in consideration of seawater salinity.Science Technology and Engineering,2017;17(15):334-338
14朱跃进,于蕾,董刚,等.强激波冲击Kr重气泡的三维数值研究.科学技术与工程,2016;16(5):6-10Zhu Yuejin,Yu Lei,Dong Gang,et al.Three dimensional numerical investigation of Kr gasbubble impacted by strong shock waves.Science Technology and Engineering,2016;16(5):6-10
2 Hua J,Lou J.Numerical simulation of bubble rising in viscous liquid.Journal of Computational Physics,2007;222(2):769-795
3 Mitsuhiro O,Tatsuya I,Yutaka Y,et al.A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids.Journal of Multiphase Flow,2005;31:223-237
4 Bhaga D,Weber M E.Bubbles in viscous liquids:shapes,wakes and velocities.Journal of Fluid Mechanics,2006;105(105):61-85
5何丹,李彦鹏,刘艳艳.初始形状对浮升气泡动力特性的影响.西安交通大学学报,2011;45(1):43-47He Dan,Li Yanpeng,Liu Yanyan.Effect of initial bubble shape on dynamics of a buoyancy-driven bubble.Journal of Xi'an Jiaotong University,2011;45(1):43-47
6李隆键,张磊,朱文冰,等.基于VOSET方法模拟并排气泡的上升过程.计算物理,2015;32(5):545-552Li Longjian,Zhang Lei,Zhu Wenbing,et al.Simulation of a pair of bubbles rising side by side using VOSET method.Chinese Journal of Computational Physics,2015;32(5):545-552
7 Amaya-Bower L,Lee T.Single bubble rising dynamics for moderate Reynolds number using lattice boltzmann method.Computers&Fluids,2010;39:1191-1207
8陈斌,Kawamura T,Kodama Y.静止水中单个上升气泡的直接数值模拟.工程热物理学报,2005;26(6):82-84Chen Bin,Kawamura T,Kodama Y.Direct numerical simulations of a single bubble rising in still water.Journal of Engineering Thermophysics,2005;26(6):82-84
9鞠花,陈刚,李国栋.静水中气泡上升运动特性的数值模拟研究.西安理工大学学报,2011;27:344-349Ju Hua,Chen Gang,Li Guodong.Research on numerical simulation of motion behaviors of single bubble rising in still water.Journal of Xi'an University of Technology,2011;27:344-349
10张阿漫,姚熊亮.近壁面气泡的运动规律研究.物理学报,2008;57:1662-1671Zhang Aman,Yao Xiongliang.The law of the bubble motion near the wall.Acta Physica Sinica,2008;57:1662-1671
11 Raymond F,Rosant J M.A numerical and experimental study of the terminal velocity and shape of bubbles in viscous liquids.Chemical Engineering Science,2000;55:943-955
12卢作伟,崔桂香,张兆顺.气泡在液体中运动过程的数值模拟.计算力学学报,1997;(2):125-133Lu Zuowei,Cui Guixiang,Zhang Zhaoshun.Numerical simulation of the gas bubble motion in liquid.Chinese Journal of Computational Mechanics,1997;(2):125-133
13张志友,金良安,苑志江,等.考虑盐度因素的水中气泡上升规律表征研究.科学技术与工程,2017;17(15):334-338Zhang Zhiyou,Jin Liangan,Yuan Zhijiang,et al.The rising bubble motion characteristics in consideration of seawater salinity.Science Technology and Engineering,2017;17(15):334-338
14朱跃进,于蕾,董刚,等.强激波冲击Kr重气泡的三维数值研究.科学技术与工程,2016;16(5):6-10Zhu Yuejin,Yu Lei,Dong Gang,et al.Three dimensional numerical investigation of Kr gasbubble impacted by strong shock waves.Science Technology and Engineering,2016;16(5):6-10