Study of three-dimensional electro-osmotic flow with curved boundary via lattice Boltzmann method

Qing Chen, X. B. Zhang (), Q. Li (), X. S. Jiang () and H. P. Zhou ()
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X. B. Zhang: School of Energy and Power Engineering, Nanjing University of Science & Technology, Nanjing 210094, P. R. China
Q. Li: #x2021;School of Energy Science and Engineering, Central South University, Changsha 410083, P. R. China
X. S. Jiang: #x2020;College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, P. R. China
H. P. Zhou: #x2020;College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, P. R. China

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 06, 1-15

Abstract: A three-dimensional (3D) lattice Boltzmann model and boundary method is developed to simulate electro-osmotic flow (EOF) with a charged spherical particle immersed in an electrolyte solution. The general governing equations for electro-osmotic transport are Navier–Stokes equations for fluid flow and the Poisson–Boltzmann equation for electric potential distribution around the particle. Two sets of D3Q19 lattice structure with curved boundary conditions are implemented. The simulation results are compared with analytical predictions and are found to be in excellent agreement. The potential distribution appears circularly symmetric and the flow velocity decreases with the cross-sectional area for flow passage increasing due to the mass conservation. The effects of the ionic concentration, the sphere radius, electric potential and external electric field on the velocity profiles are investigated. The flow velocity increases with both the electric potential and the external electric field. However, the variation in flow velocity with the ionic concentration and the sphere radius is complex due to the change in electrical double layer (EDL) thickness.

Keywords: Lattice Boltzmann method; electro-osmotic flow; electric double layer (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500637

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