Computer modeling of electric potential distribution of ion transport in rectangular Nanofluidic Channel

Based on continuity assumption of fluid, we established a mathematical model of ion transport in the rectangular Nanofluidic Channel with Poisson-Boltzmann equation and modified N-S equations. Through equation derivation, the electric potential distribution function was solved. Next we analyzed how the distribution of the ion electric potential distribution was charged by the solution concentration, the surface charge density and the channel height. Thus we have got the curves between Electric potential distribution and these parameters. Therefore, the main influential factors of the electric potential are the electrolyte concentration, the surface charge density and the channel height. By adjusting the electrolyte concentration, the surface charge density and the nanofluidic channel height, we can control the electric potential.