OS1-2-6 界面動電現象による流れを解析するための格子ボルツマン法(OS1 マルチスケール現象のシミュレーション技術(2))

Abstract

We present a coupled lattice Boltzmann (LB) method to solve a set of model equations for electrokinetic flows in micro-/nano-channels. The model consists of the Poisson equation for the electrical potential, the Nernst-Planck equation for the ion concentration, and the Navier-Stokes equation for the flows of the electrolyte solution. One of the features that distinguishes the present method from the existing LB methods for electrokinetic flows lies in the scheme for the Nernst-Planck equation, in which the electrochemical migration and the convection of the electrolyte solution contributing to the ion flux are incorporated into the collision operator of the LB algorithm. As a validation of the present method, a one-dimensional microchannel is considered, and the simulation results in the steady state are compared with the semi-analytical solution of the model with the Poisson-Boltzmann approximation.