@Article{CiCP-3-5,
author = {},
title = {On Applicability of Poisson-Boltzmann Equation for Micro- and Nanoscale Electroosmotic Flows},
journal = {Communications in Computational Physics},
year = {2008},
volume = {3},
number = {5},
pages = {1087--1099},
abstract = {<p style="text-align: justify;">The applicability of the Poisson-Boltzmann model for micro- and nanoscale
electroosmotic flows is a very important theoretical and engineering problem. In this
contribution we investigate this problem at two aspects: first the high ionic concentration effect on the Boltzmann distribution assumption in the diffusion layer is studied
by comparisons with the molecular dynamics (MD) simulation results; then the electrical double layer (EDL) interaction effect caused by low ionic concentrations in small
channels is discussed by comparing with the dynamic model described by the coupled
Poisson-Nernst-Planck (PNP) and Navier-Stokes (NS) equations. The results show that
the Poisson-Boltzmann (PB) model is applicable in a very wide range: (i) the PB model
can still provide good predictions of the ions density profiles up to a very high ionic
concentration (∼ 1 M) in the diffusion layer; (ii) the PB model predicts the net charge
density accurately as long as the EDL thickness is smaller than the channel width and
then overrates the net charge density profile as the EDL thickness increasing, and the
predicted electric potential profile is still very accurate up to a very strong EDL interaction (λ/W ∼10).</p>},
issn = {1991-7120},
doi = {https://doi.org/2008-CiCP-7889},
url = {https://global-sci.com/article/81235/on-applicability-of-poisson-boltzmann-equation-for-micro-and-nanoscale-electroosmotic-flows}
}