banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Weakly nonlinear electrophoresis of a highly charged colloidal particle
Rent this article for
View: Figures


Image of FIG. 1.
FIG. 1.

Schematic of the problem in a particle-fixed frame. The boundary conditions apply at the effective boundary (dashed circle), essentially the outer-edge of the electrical double-layer.

Image of FIG. 2.
FIG. 2.

Decomposition of the fluid domain into two asymptotic regions: an inner near-particle region where salt diffusion dominates advection, and an outer far-field region where the two mechanisms are comparable.

Image of FIG. 3.
FIG. 3.

The nonlinear electrophoretic speed , as given by (5.9) , plotted as a function of Du = Bi(1 + 2α) for α = 0 (thin) and α = 0.3 (thick), with . Each α-value is illustrated by three curves, corresponding to ζ = 4, 6, and 8. For comparison, expression (7.1) suggested by Shilov , in which is interpreted as Du, is also shown (dashed curve). It is evident from the inset that an approximate agreement is realized only when advection is disregarded (α = 0) and Du is exceedingly small.

Image of FIG. 4.
FIG. 4.

The dependence of on the counter-ion drag coefficient α for Bi = 0.5 and ζ = 6. The three curves correspond to α = α, α = 2α, and α = α/2. The value , corresponding to the absence of convection, is indicated by the horizontal dashed line.

Image of FIG. 5.
FIG. 5.

Comparison of the weakly nonlinear theory with numerical simulations for Du = 0.5, , ζ = 6, and the indicated α values. The dashed lines depict the analytically calculated velocity correction . The symbols represent its numerical equivalent, namely the difference between the computed velocity and the linear approximation .


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Weakly nonlinear electrophoresis of a highly charged colloidal particle