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Weakly nonlinear electrophoresis of a highly charged colloidal particle
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10.1063/1.4804672
/content/aip/journal/pof2/25/5/10.1063/1.4804672
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4804672
View: Figures

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 .

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/content/aip/journal/pof2/25/5/10.1063/1.4804672
2013-05-24
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Weakly nonlinear electrophoresis of a highly charged colloidal particle
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4804672
10.1063/1.4804672
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