中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2444-2448.doi: 10.1088/1009-1963/16/8/048

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Lattice Boltzmann simulations of a dumbbell moving in a Poiseuille flow

李华兵1, 伊厚会2, 陈艳燕2   

  1. (1)Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;Department of Information Material Science and Engineering, Guilin University of Electronic Technology, Guilin 541004, China ; (2)Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China;Graduate School of the Chinese Academy of Sciences,Beijing 100080, China
  • 收稿日期:2006-10-09 修回日期:2006-11-20 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10474109 and 10447001) and the Foundation of Ministry of Personnel of China.

Lattice Boltzmann simulations of a dumbbell moving in a Poiseuille flow

Yi Hou-Hui(伊厚会)a)b)†, Chen Yan-Yan(陈艳燕)a)b), and Li Hua-Bing(李华兵)a)c)   

  1. a Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, Chinab Graduate School of the Chinese Academy of Sciences,Beijing 100080, China; b Department of Information Material Science and Engineering, Guilin University of Electronic Technology, Guilin 541004, China
  • Received:2006-10-09 Revised:2006-11-20 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10474109 and 10447001) and the Foundation of Ministry of Personnel of China.

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摘要： In this paper, the lattice Boltzmann method is applied to simulate a dumbbell moving in a pressure-driven flow in a planar channel with the stress-integration method for the evaluation of hydrodynamic force acting on the cylinders. The simulation results show that the dumbbell also has the important feature of the Segr\'e--Silberberg effect like a particle in a Poiseuille flow. The dumbbell trajectories, orientations, the cylinders vertical velocities and angular velocities all reach their equilibrium values separately independent of their initial positions. It is also found that the dumbbell equilibrium positions depend on the flow Reynolds number, blockage ratio and elastic coefficient. This study is expected to be helpful to understand the dynamics of polymer solutions, polymer synthesis and reaction, etc.

关键词: lattice Boltzmann method, dumbbell

Abstract: In this paper, the lattice Boltzmann method is applied to simulate a dumbbell moving in a pressure-driven flow in a planar channel with the stress-integration method for the evaluation of hydrodynamic force acting on the cylinders. The simulation results show that the dumbbell also has the important feature of the Segré--Silberberg effect like a particle in a Poiseuille flow. The dumbbell trajectories, orientations, the cylinders vertical velocities and angular velocities all reach their equilibrium values separately independent of their initial positions. It is also found that the dumbbell equilibrium positions depend on the flow Reynolds number, blockage ratio and elastic coefficient. This study is expected to be helpful to understand the dynamics of polymer solutions, polymer synthesis and reaction, etc.

Key words: lattice Boltzmann method, dumbbell

中图分类号:  (Flow phenomena in quasi-one-dimensional systems)

  • 47.60.-i
47.10.-g (General theory in fluid dynamics)