Journal
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS
Volume 9, Issue 4, Pages 435-449Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/84.896764
Keywords
E; Electro-kinetics; electro-osmosis; finite cloud method; meshless method; microfluidics
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An emerging technology in the area of microsystems is micro-total analysis systems (mu TAS) for biological sample analysis. We have simulated electro-osmosis-a common transport mechanism within these devices-by developing meshless techniques. Numerical simulation of electro-osmotic transport requires the solution of the Laplace equation, the Poisson-Boltzmann equation and the incompressible Stokes or Navier-Stokes equations. We describe the development and implementation of meshless techniques for all the governing equations. In particular, we introduce a stabilized Stokes solver for very-low Reynolds number flows and a multistep Navier-Stokes solver for a wide range of Reynolds number flows. We have analyzed electro-osmotic transport in three geometries typically encountered in biological devices: a straight channel, a cross-shaped intersection, and a T-shaped intersection.
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