Analysis of electrokinetic transport of a spherical particle in a microchannel

Electrokinetically driven microfluidic devices that are used for biological cell/particle manipulation (e.g., cell sorting, separation) involve electrokinetic transport of these particles in microchannels whose dimension is comparable with particles' size. This paper presents an analytical study on electrokinetic transport of a charged spherical particle in a charged parallel‐plate microchannel. Under the thin electric double‐layer assumption, solutions in closed‐form solutions for the particle velocity and disturbed electrical and fluid velocity fields are obtained for plane‐symmetric (along the channel centerline) and asymmetric (off the channel centerline) motions of a sphere in a parallel‐plate microchannel. The effects of relative particle size and eccentricity (i.e., off the centerline distance) on a particle's translational and rotational velocities are analyzed.

[1]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[2]  Anderson,et al.  Boundary Effects on Electrophoretic Motion of Spherical Particles for Thick Double Layers and Low Zeta Potential , 1997, Journal of Colloid and Interface Science.

[3]  John L. Anderson,et al.  Boundary effects on electrophoretic motion of colloidal spheres , 1985, Journal of Fluid Mechanics.

[4]  R. Pfeffer,et al.  A strong-interaction theory for the motion of arbitrary three-dimensional clusters of spherical particles at low Reynolds number , 1988, Journal of Fluid Mechanics.

[5]  Sheldon Weinbaum,et al.  A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane , 1978, Journal of Fluid Mechanics.

[6]  Dongqing Li,et al.  Electrophoretic motion of a sphere in a microchannel under the gravitational field. , 2002, Journal of colloid and interface science.

[7]  Shing-Bor Chen,et al.  Electrophoresis of a colloidal sphere parallel to a dielectric plane , 1988, Journal of Fluid Mechanics.

[8]  G. Whitesides.  The origins and the future of microfluidics , 2006, Nature.

[9]  Darwin R. Reyes,et al.  Micro total analysis systems. 2. Analytical standard operations and applications. , 2002, Analytical chemistry.

[10]  Darwin R. Reyes,et al.  Micro total analysis systems. 1. Introduction, theory, and technology. , 2002, Analytical chemistry.

[11]  Dongqing Li,et al.  3-D transient electrophoretic motion of a spherical particle in a T-shaped rectangular microchannel. , 2004, Journal of colloid and interface science.

[12]  A. Zydney.  Boundary Effects on the Electrophoretic Motion of a Charged Particle in a Spherical Cavity , 1995 .

[13]  D. Beebe,et al.  Physics and applications of microfluidics in biology. , 2002, Annual review of biomedical engineering.

[14]  H. Keh,et al.  Electrophoresis of a colloidal sphere along the axis of a circular orifice or a circular disk , 1991, Journal of Fluid Mechanics.

[15]  Diffusiophoresis of a colloidal sphere in nonelectrolyte gradients parallel to one or two plane walls , 2002 .

[16]  Howard H. Hu,et al.  Electrophoresis of concentrically and eccentrically positioned cylindrical particles in a long tube. , 2004, Langmuir : the ACS journal of surfaces and colloids.

[17]  Carnie,et al.  Electrophoretic Motion of a Spherical Particle with a Thick Double Layer in Bounded Flows. , 1999, Journal of colloid and interface science.