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Electro-osmotic flow of a model electrolyte
Wei Zhu1, Sherwin J Singer, Zhi Zheng
1Department of Chemistry, Ohio State University, Columbus, Ohio 43210, USA.
Summary
Nonequilibrium molecular dynamics simulations reveal that Poisson-Boltzmann theory inadequately predicts ion distribution near charged walls, impacting electro-osmotic flow (EOF) models. Correcting ion distribution improves agreement between hydrodynamic theory and simulation results.
Area of Science:
- Computational physics
- Physical chemistry
- Fluid dynamics
Background:
- Continuum theories like Poisson-Boltzmann and hydrodynamic theories are used to model fluid behavior.
- Electro-osmotic flow (EOF) is crucial in microfluidic devices and separation sciences.
- Discrepancies exist between theoretical predictions and simulation results for EOF in confined geometries.
Purpose of the Study:
- To investigate electro-osmotic flow using nonequilibrium molecular dynamics simulations.
- To elucidate factors affecting the velocity profile in a model channel system.
- To compare simulation results with existing continuum theories, specifically Poisson-Boltzmann and hydrodynamic theories.
Main Methods:
- Nonequilibrium molecular dynamics (NEMD) simulations were employed.
- A model system with spherical ions, solvent, and charged walls was utilized.
- The channel height was set to 20 particle diameters.
Main Results:
- Hydrodynamic theory accurately describes pressure-driven (Poiseuille) flow.
- Poisson-Boltzmann theory fails to predict ion distribution near channel walls due to reduced ion solvation.
- Corrected ion distribution in hydrodynamic theory restores agreement with simulation results.
- Analytic theory shows wall repulsion increases flow rate, while attraction decreases it.
Conclusions:
- Poisson-Boltzmann theory requires refinement for accurate ion distribution near charged walls in confined systems.
- Hydrodynamic theory, when supplied with a corrected ion distribution, effectively models electro-osmotic flow.
- Ion-wall interactions significantly influence electro-osmotic flow rates.