Electrical Potential, Mass Transport and Velocity Distribution of Electro-osmotic Flow in a Nanochannel by Incorporating the Variation of Dielectric Constant of Aqueous Electrolyte Solution

TL;DR

This paper models electro-osmotic flow in nanochannels by coupling Navier-Stokes, Maxwell-Stefan, and Poisson-Boltzmann equations, incorporating dielectric constant variation, and solves them numerically for accurate predictions.

Contribution

It introduces a comprehensive coupled model including dielectric variation and applies finite difference methods for precise simulation of nanochannel electro-osmotic flow.

Findings

Accurate prediction of dielectric constant across salts and concentrations

Effective numerical solution of coupled equations in nanochannels

Enhanced understanding of velocity and potential distributions

Abstract

We consider a coupled system of Navier Stokes, Maxwell Stefan and Poisson Boltzmann equations by incorporating the variation of dielectric constant, which governs the electro osmotic flow in nano channel, describing the evolution of the velocity, concentration and potential fields of dissolved constituents in an aqueous electrolyte solution. We apply the finite difference technique to solve one and two dimensional systems of these equations. The solutions give an extremely accurate prediction of the dielectric constant for a variety of salts and a wide range of concentrations.