A theoretical
model is proposed to analyze the electrophoresis
of a charged microparticle in an electrolyte-filled microchannel.
The Poisson–Nernst–Planck equations are coupled with
the mass and momentum balances before solving them numerically with
appropriate boundary conditions. The model includes the efficacies
of moving–deforming–mesh and fluid–structure
interaction to uncover the accurate picture of such motions. An analytical
model has also been developed to compare with the numerical results.
The simulations reveal that the electrical double layer (EDL) develops
dynamically surrounding the particle when it initiates electrophoresis.
Unsteady motion of the particle is observed during the development
stage of the EDL before a steady electrophoretic migration is established.
Even during the steady migration, an asymmetric EDL surrounding the
particle is observed. The electrophoretic velocity obtained are found
to be consistently lower than the existing models. The influences
of formation of the asymmetric EDL, the fluid structure interaction,
and particle-inertia are found to be some of the major reasons for
the deviations. The particle size, fluid viscosity, applied field
intensity, and surface potential are found to influence the speed
of the particles significantly. The drag around the particle, the
wall drag near the confinement, and the variation in the electrophoretic
thrust, due to the variation in the size of the particle, are found
to be some other influential parameters. Interestingly, the speed
and direction of the electrophoretic motion of the “Janus”
particles can be tuned with the variation in the chemical heterogeneities
on the surface.