TY - JOUR

T1 - Dipolophoresis of interacting conducting nano-particles of finite electric double layer thickness

AU - Miloh, Touvia

N1 - Funding Information:
We acknowledge the partial support of the Lazarus Brothers Chair in Hydrodynamics at TAU, fruitful discussions with Ms. Alicia Boymelgreen and funding from BSF Grant No. 2009371.

PY - 2011/12/14

Y1 - 2011/12/14

N2 - A general integral method is presented for calculating the dipolophoretic velocities of two interacting, ideally polarizable colloids of arbitrary electric double layer thickness under weak AC electric forcing. The 12 non-linear mobilities are comprised of induced-charge-electrophoresis (ICEP), dielectrophoresis (DEP), and Faxén-Stokes contributions. The explicit integral scheme, based on the Teubner [J. Chem. Phys. 76, 5564 (1982)] formulation, is demonstrated for the case of two-sphere interaction. Further simplifications using the remote-sphere approximation are employed and the asymptotic results thus obtained are compared against those recently obtained by Saintillan [Phys. Fluids 20, 067104 (2008)] and extend the latter for finite Debye scales and forcing frequencies. It is also shown that the same methodology can be used to determine the mobility of a polarized particle in the proximity of an insulating or conducting plane boundary. The case of a spherical colloid near an uncharged insulating planar wall is of special interest and by using the Lorentz image solution, we readily recover the large-spacing approximation of Yariv [Proc. R. Soc. A. London Ser. A 465, 709 (2009)] as a limiting case.

AB - A general integral method is presented for calculating the dipolophoretic velocities of two interacting, ideally polarizable colloids of arbitrary electric double layer thickness under weak AC electric forcing. The 12 non-linear mobilities are comprised of induced-charge-electrophoresis (ICEP), dielectrophoresis (DEP), and Faxén-Stokes contributions. The explicit integral scheme, based on the Teubner [J. Chem. Phys. 76, 5564 (1982)] formulation, is demonstrated for the case of two-sphere interaction. Further simplifications using the remote-sphere approximation are employed and the asymptotic results thus obtained are compared against those recently obtained by Saintillan [Phys. Fluids 20, 067104 (2008)] and extend the latter for finite Debye scales and forcing frequencies. It is also shown that the same methodology can be used to determine the mobility of a polarized particle in the proximity of an insulating or conducting plane boundary. The case of a spherical colloid near an uncharged insulating planar wall is of special interest and by using the Lorentz image solution, we readily recover the large-spacing approximation of Yariv [Proc. R. Soc. A. London Ser. A 465, 709 (2009)] as a limiting case.

UR - http://www.scopus.com/inward/record.url?scp=84855288562&partnerID=8YFLogxK

U2 - 10.1063/1.3671681

DO - 10.1063/1.3671681

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AN - SCOPUS:84855288562

SN - 1070-6631

VL - 23

JO - Physics of Fluids

JF - Physics of Fluids

IS - 12

M1 - 122002

ER -