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)
a Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, Chinab Graduate School of the Chinese Academy of Sciences,Beijing 100080, China; bDepartment of Information Material Science and Engineering, Guilin University of Electronic Technology, Guilin 541004, China
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.
Received: 09 October 2006
Revised: 20 November 2006
Accepted manuscript online:
Fund: Project supported by the National Natural
Science Foundation of China (Grant Nos~10474109 and 10447001) and
the Foundation of Ministry of Personnel of China.
Cite this article:
Yi Hou-Hui(伊厚会), Chen Yan-Yan(陈艳燕), and Li Hua-Bing(李华兵) Lattice Boltzmann simulations of a dumbbell moving in a Poiseuille flow 2007 Chinese Physics 16 2444
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