Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid

›› 2011, Vol. 19 ›› Issue (5): 799-807.

Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid

朱春英¹, 付涛涛¹, 高习群², 马友光¹

1. School of Chemical Engineering and Technology, State Key Laboratory of Chemical Engineering, Tianjin University, Tianjin 300072, China;
2. Yifang Industry Corporation, Liaohua Petrochemical Fiber Company, Liaoyang 111003, China

收稿日期:2011-06-10 修回日期:2011-08-20 出版日期:2011-10-28 发布日期:2011-10-28
通讯作者: MA Youguang,E-mail:ygma@tju.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (21076139)

Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid

ZHU Chunying¹, FU Taotao¹, GAO Xiqun², MA Youguang¹

1. School of Chemical Engineering and Technology, State Key Laboratory of Chemical Engineering, Tianjin University, Tianjin 300072, China;
2. Yifang Industry Corporation, Liaohua Petrochemical Fiber Company, Liaoyang 111003, China

Received:2011-06-10 Revised:2011-08-20 Online:2011-10-28 Published:2011-10-28
Supported by:
Supported by the National Natural Science Foundation of China (21076139)

摘要/Abstract

摘要： On the basis of Navier-Stockes equation and convection-diffusion equation, combined with surface ten-sion and penetration models, the equations of moment and mass transfer between bubble and the ambient non-Newtonian liquid were established. The formation of a single bubble from a submersed nozzle of 1.0 mm di-ameter and the mass transfer from an artificially fixed bubble into the ambient liquid were simulated by the volume-of-fluid (VOF) method. Good agreement between simulation results and experimental data confirmed the validity of the numerical method. Furthermore, the concentration distribution around rising bubbles in shear thinning non-Newtonian fluid was simulated. When the process of a single ellipsoidal bubble with the bubble deformation rate below 2.0 rises, the concentration distribution is a singletail in the bubble’s wake, but it is fractal when the bubble deformation rate is greater than 2.0. For the overtaking of two in-line rising bubbles, the concentration distribution area between two bubbles broadens gradually and then coalescence occurs. The bifurcation of concentration distribution appears in the rear of the resultant bubble.

关键词: numerical simulation, bubble, concentration distribution, coalescence, non-Newtonian fluid

Abstract: On the basis of Navier-Stockes equation and convection-diffusion equation, combined with surface ten-sion and penetration models, the equations of moment and mass transfer between bubble and the ambient non-Newtonian liquid were established. The formation of a single bubble from a submersed nozzle of 1.0 mm di-ameter and the mass transfer from an artificially fixed bubble into the ambient liquid were simulated by the volume-of-fluid (VOF) method. Good agreement between simulation results and experimental data confirmed the validity of the numerical method. Furthermore, the concentration distribution around rising bubbles in shear thinning non-Newtonian fluid was simulated. When the process of a single ellipsoidal bubble with the bubble deformation rate below 2.0 rises, the concentration distribution is a singletail in the bubble’s wake, but it is fractal when the bubble deformation rate is greater than 2.0. For the overtaking of two in-line rising bubbles, the concentration distribution area between two bubbles broadens gradually and then coalescence occurs. The bifurcation of concentration distribution appears in the rear of the resultant bubble.

Key words: numerical simulation, bubble, concentration distribution, coalescence, non-Newtonian fluid

朱春英, 付涛涛, 高习群, 马友光. Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid[J]. , 2011, 19(5): 799-807.

ZHU Chunying, FU Taotao, GAO Xiqun, MA Youguang. Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid[J]. , 2011, 19(5): 799-807.

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Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid

Numerical Simulation of Concentration Field on Liquid Side around Bubble during Rising and Coalescing Process in Non-Newtonian Fluid

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