Lattice Boltzmann–Poisson method for electrorheological nanoflows in ion channels
Section snippets
Method and results
Let us consider a three-component, charged nanoflow (solvent, cations and anions) governed by the Stokes equations and the Poisson equation for the electrostatic potential [4]. Once confined in a cylindrical structure, the system models ion channels [9] in which charged species, typically ionic salts such as Potassium K+, Sodium Na+ and Chlorum Cl−, flow through a solvent (water) across the cell membrane under the effect of ionic density gradient or applied potential. Typically, ion channels
Future developments
The present results indicate that the Lattice-Boltzmann–Poisson (LBP) method is capable of predicting a number of quantitative aspects of electrorheological transport phenomena in a charged nanofluid. This is only a preliminary step of a program whose long-term goal is the simulation of realistic ion-channels. To this purpose, major upgrades need to be put in place, primarily: (i) Realistic geometries and fluid–wall interactions, (ii) Effects of thermal fluctuations, (iii) Non-local transport
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