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Nonlinear interactions in electrophoresis of ideally polarizable particles
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10.1063/1.2931689
/content/aip/journal/pof2/20/6/10.1063/1.2931689
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2931689
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Problem geometry. We consider two equal-sized spheres of radius separated by a vector and placed in an external electric field .

Image of FIG. 2.
FIG. 2.

Typical unstructured mesh used in the boundary-element calculations of Sec. III. The mesh was obtained using the algorithm of Loewenberg and Hinch (Ref. 33) and is composed of 1280 six-point curved triangular elements, corresponding to 3842 quadrature points.

Image of FIG. 3.
FIG. 3.

Dimensionless coefficients (a) , (b) , and (c) in the general expression (18) for the DEP force as functions of . The plots show results from the boundary-element calculations of Sec. III A, from the method of twin multipole expansions (Refs. 30 and 36) (cf. the Appendix) in which 50 terms were retained in the expansions, and from the method of reflections (Refs. 28 and 29) [Eqs. (26)–(28)].

Image of FIG. 4.
FIG. 4.

Dimensionless coefficients (a) , (b) , (c) , and (d) in the general expressions (19) and (20) for the DEP linear and angular velocities and as functions of . The plots show results from the boundary-element calculations of Sec. III B, from the method of twin multipole expansions31 (cf. the Appendix), in which 20 terms were retained in the expansions, and from the method of reflections [Refs. 28 and 29] [Eqs. (36)–(39)].

Image of FIG. 5.
FIG. 5.

Dimensionless coefficients (a) , (b) , (c) , and (d) in the general expressions (19) and (20) for the ICEP linear and angular velocities and as functions of . The plots show results from the boundary-element calculations of Sec. III B, from the method of twin multipole expansions (Ref. 31) (cf. the Appendix), in which 20 terms were retained in the expansions, and from the method of reflections (Refs. 28 and 29) [Eqs. (40)–(43)].

Image of FIG. 6.
FIG. 6.

Dimensionless coefficients (a) , (b) , (c) , and (d) in the general expressions (19) and (20) for the total linear and angular velocities and (including both DEP and ICEP) as functions of . The plots show results from the boundary-element calculations of Sec. III B, from the method of twin multipole expansions (Ref. 31) (cf. the Appendix), in which 20 terms were retained in the expansions, and from the method of reflections (Refs. 28 and 29) [Eqs. (44)–(47)].

Image of FIG. 7.
FIG. 7.

Radial component of the relative velocity between the two spheres scaled by the velocity scale as a function of the angle made between the external field and the line of centers of the two spheres . The radial velocity was calculated using Eq. (48) for (or, equivalently, ). The plot shows the velocities arising from DEP and ICEP, as well as the total velocity when both effects are present.

Image of FIG. 8.
FIG. 8.

Typical trajectories of two spheres undergoing DEP and ICEP in an electric field . The two spheres are attracted in the direction of the field, pair up, and then separate in the transverse direction. The arrows indicate the direction of motion.

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/content/aip/journal/pof2/20/6/10.1063/1.2931689
2008-06-24
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear interactions in electrophoresis of ideally polarizable particles
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2931689
10.1063/1.2931689
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