Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study

doi:10.1088/1674-1056/21/5/054702

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 54702-054702.doi: 10.1088/1674-1056/21/5/054702

Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study

徐升华¹ ²,孙祉伟¹ ²,李旭¹ ²,Tong Wang³

a. Key Laboratory of Microgravity Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
b. National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
c. Department of Physics, Southern University and A&M College, Baton Rouge, LA 70813, USA

收稿日期:2011-10-12 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10972217, 10932012 and 11032011) and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-L08).

Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study

Xu Sheng-Hua(徐升华)^a)b), Sun Zhi-Wei(孙祉伟)^a)b)^†, Li Xu(李旭)^a)b), and Jin Tong Wang^c)

a. Key Laboratory of Microgravity Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
b. National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
c. Department of Physics, Southern University and A&M College, Baton Rouge, LA 70813, USA

Received:2011-10-12 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10972217, 10932012 and 11032011) and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-L08).

摘要/Abstract

摘要： Simultaneous orthokinetic and perikinetic coagulations (SOPCs) are studied for small and large Peclet numbers (P_e) using Brownian dynamics simulation. The results demonstrate that the contributions of the Brownian motion and the shear flow to the overall coagulation rate are basically not additive. At the early stages of coagulation with small Peclet numbers, the ratio of overall coagulation rate to the rate of pure perikinetic coagulation is proportional to P_e^1/2, while with high Peclet numbers, the ratio of overall coagulation rate to the rate of pure orthokinetic coagulation is proportional to P_e^-1/2. Moreover, our results show that the aggregation rate generally changes with time for the SOPC, which is different from that for pure preikinetic and pure orthokinetic coagulations. By comparing the SOPC with pure preikinetic and pure orthokinetic coagulations, we show that the redistribution of particles due to Brownian motion can play a very important role in the SOPC. In addition, the effects of redistribution in the directions perpendicular and parallel to the shear flow direction are different. This perspective explains the behavior of coagulation due to the joint effects of the Brownian motion (perikinetic) and the fluid motion (orthokinetic).

关键词: simultaneous orthokinetic and perikinetic coagulation, Brownian motion, shear flow, colloidal aggregation

Abstract: Simultaneous orthokinetic and perikinetic coagulations (SOPCs) are studied for small and large Peclet numbers (P_e) using Brownian dynamics simulation. The results demonstrate that the contributions of the Brownian motion and the shear flow to the overall coagulation rate are basically not additive. At the early stages of coagulation with small Peclet numbers, the ratio of overall coagulation rate to the rate of pure perikinetic coagulation is proportional to P_e^-1/2, while with high Peclet numbers, the ratio of overall coagulation rate to the rate of pure orthokinetic coagulation is proportional to P_e^-1/2.Moreover, our results show that the aggregation rate generally changes with time for the SOPC, which is different from that for pure perikinetic and pure orthokinetic coagulations. By comparing the SOPC with pure perikinetic and pure orthokinetic coagulations, we show that the redistribution of particles due to Brownian motion can play a very important role in the SOPC. In addition, the effects of redistribution in the directions perpendicular and parallel to the shear flow direction are different. This perspective explains the behavior of coagulation due to the joint effects of the Brownian motion (perikinetic) and the fluid motion (orthokinetic).

Key words: simultaneous orthokinetic and perikinetic coagulation, Brownian motion, shear flow, colloidal aggregation

中图分类号: (Diffusion and aggregation)

47.57.eb

47.57.J- (Colloidal systems) 82.70.Dd (Colloids) 82.20.Wt (Computational modeling; simulation)

徐升华, 孙祉伟, 李旭, Tong Wang. Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study[J]. 中国物理B, 2012, 21(5): 54702-054702.

Xu Sheng-Hua(徐升华), Sun Zhi-Wei(孙祉伟), Li Xu(李旭), and Jin Tong Wang . Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study[J]. Chin. Phys. B, 2012, 21(5): 54702-054702.

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Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study

Coupling effect of Brownian motion and laminar shear flow on colloid coagulation:a Brownian dynamics simulation study

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