Numerical Model of Electrokinetic Flow for Capillary Electrophoresis.

A numerical study is presented for the steady electrokinetic flow in intersecting channels in a T-shaped configuration. The electric potential and space charge density distribution along the capillary are obtained numerically by solving the nonlinear Poisson-Boltzmann equation for arbitrary electrokinetic radius and arbitrary surface potential. The velocity and pressure profiles are obtained by solving a modified Navier-Stokes equation using a primitive variable algorithm. A systematic study of flow in T-shaped intersecting channels showed that the hydrodynamic effect is an important factor that influences fluid leakage out of a channel where the electric potential is left floating. It was found that the flow in each channel can be controlled by applying a potential at each reservoir connected to the end of a channel. Copyright 1999 Academic Press.

[1]  W. Bowen,et al.  Electroviscous Effects in Charged Capillaries , 1995 .

[2]  S. Rubin,et al.  Incompressible navier-stokes solutions with a new primitive variable solver , 1995 .

[3]  D. J. Harrison,et al.  Micromachining of capillary electrophoresis injectors and separators on glass chips and evaluation of flow at capillary intersections , 1994 .

[4]  G. Guiochon,et al.  Timescales of transient processes in capillary electrophoresis , 1993 .

[5]  D. J. Harrison,et al.  Micromachining a Miniaturized Capillary Electrophoresis-Based Chemical Analysis System on a Chip , 1993, Science.

[6]  Andreas Manz,et al.  Planar glass chips for capillary electrophoresis: repetitive sample injection, quantitation, and separation efficiency , 1993 .

[7]  D. J. Harrison,et al.  Capillary electrophoresis and sample injection systems integrated on a planar glass chip , 1992 .

[8]  A. Ewing,et al.  Electroosmotic flow control and monitoring with an applied radial voltage for capillary zone electrophoresis. , 1992, Analytical chemistry.

[9]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[10]  Norman Epstein,et al.  Theory of electrokinetic flow in fine cylindrical capillaries at high zeta-potentials , 1975 .

[11]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[12]  Forman S. Acton,et al.  Numerical methods that work , 1970 .

[13]  J. Smith,et al.  Low Reynolds number developing flows , 1969 .

[14]  C. L. Rice,et al.  Electrokinetic Flow in a Narrow Cylindrical Capillary , 1965 .