6533b827fe1ef96bd12859da

RESEARCH PRODUCT

Electrokinetic Phenomena Revisited: A Lattice—Boltzmann Approach

Jürgen Horbach

subject

Physics::Fluid DynamicsElectrokinetic phenomenaPartial differential equationClassical mechanicsMean field theorySedimentation (water treatment)Lattice Boltzmann methodsEquations of motionSPHERESLimit (mathematics)Mathematics

description

The Lattice-Boltzmann method (LBM) is an efficient tool to solve the Navier-Stokes equations. Based on this method we have developed a scheme to investigate electrokinetic phenomena in charged colloidal suspensions. The equations of motion that are solved are the so-called electrokinetic equations, i.e. a set of partial differential equations that couple the gradient of the electrostatic potential to the hydrodynamic flow by means of a mean field theory. These equations have been extensively used to study electroviscous phenomena for the limit of a weakly charged sphere in an unbounded electrolyte. We demonstrate that our method can be applied beyond these limit. As an example we discuss the sedimentation of an array of charged spheres

yearjournalcountryeditionlanguage
2003-01-01
https://doi.org/10.1007/978-3-642-55522-0_21