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Electrokinetic flows through a parallel-plate channel with slipping stripes on walls
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10.1063/1.3647582
/content/aip/journal/pof2/23/10/10.1063/1.3647582
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/10/10.1063/1.3647582
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Figures

Image of FIG. 1.
FIG. 1.

(Color online) Electrokinetic longitudinal or transverse flow through a parallel-plate channel with walls which are patterned with a periodic array of stripes. One unit of wall pattern consists of a non-slipping stripe of zeta potential ζNS, and a slipping stripe of slip length λ and zeta potential ζS. The two walls are arranged in-phase with each other so that the flow is symmetrical about the centerline of the channel. The x- and z-axes are respectively normal and parallel to the stripes, while the y-axis is perpendicular to the channel walls. The x-, y-, and z-velocity components are denoted by (u, v, w). Longitudinal flow is unidirectional flow purely along the z-direction, and transverse flow is two-dimensional flow in the (x, y) plane.

Image of FIG. 2.
FIG. 2.

The longitudinal and transverse streaming conductance, and , as functions of the Debye parameter and the slipping area of fraction a, where the half channel height , intrinsic slip length , and wall potential . The two insets show the effective slip lengths, and , as functions of a.

Image of FIG. 3.
FIG. 3.

(Color online) The longitudinal and transverse streaming conductance, and , as functions of the Debye parameter and the slipping area of fraction a, where the half channel height , intrinsic slip length , and wall potential .

Image of FIG. 4.
FIG. 4.

(Color online) The longitudinal and transverse streaming conductance, and , as functions of the Debye parameter and the slipping area of fraction a, where the half channel height , intrinsic slip length , and wall potential . The dashes are the thin EDL limits for given by Eq. (80).

Image of FIG. 5.
FIG. 5.

(Color online) The longitudinal and transverse streaming conductance, and , as functions of the Debye parameter and the slipping area of fraction a, where the half channel height , intrinsic slip length , and wall potential . Note that the curves tend to the thin EDL limits for given by Eq. (81).

Image of FIG. 6.
FIG. 6.

The longitudinal and transverse figures of merit, and , as functions of the Debye parameter and the slipping area of fraction a, where the half channel height , intrinsic slip length , and wall potential .

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/content/aip/journal/pof2/23/10/10.1063/1.3647582
2011-10-14
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Electrokinetic flows through a parallel-plate channel with slipping stripes on walls
http://aip.metastore.ingenta.com/content/aip/journal/pof2/23/10/10.1063/1.3647582
10.1063/1.3647582
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