Lattice Boltzmann model for axisymmetric electrokinetic flows

The axisymmetric electrokinetic flows are of great importance in Micro-Electro-Mechanical System (MEMS). In this paper, the Nernst-Planck (NP) model under the cylindrical coordinate system is used to describe the axisymmetric electrokinetic flows. Furthermore, a coupled lattice Boltzmann method (LBM) is proposed to solve the axisymmetric NP model. To validate the capacity of the proposed coupled LBM, the axisymmetric electrokinetic flows in circular tubes and annular ducts are numerically studied. The numerical results agree well with the reported numerical data.

Automated summary

This paper focuses on the axisymmetric electrokinetic flows in MEMS and uses the Nernst-Planck model under the cylindrical coordinate system to describe the flows. A coupled lattice Boltzmann method is proposed to solve the axisymmetric NP model and is validated through numerical studies on circular tubes and annular ducts. The numerical results show good agreement with reported data.