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Summary: JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, VOL. 9, NO. 4, DECEMBER 2000 435
Meshless Analysis of Steady-State Electro-Osmotic
Transport
M. J. Mitchell, R. Qiao, and N. R. Aluru
Abstract--An emerging technology in the area of microsystems
is micro-total analysis systems ( TAS) for biological sample
analysis. We have simulated electro-osmosis--a common trans-
port mechanism within these devices--by developing meshless
techniques. Numerical simulation of electro-osmotic transport
requires the solution of the Laplace equation, the PoissonBoltz-
mann equation and the incompressible Stokes or NavierStokes
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 NavierStokes solver for a wide
range of Reynolds number flows. We have analyzed electro-os-
motic transport in three geometries typically encountered in
biological devices: a straight channel, a cross-shaped intersection,
and a T-shaped intersection. [545]
Index Terms--E, Electro-kinetics, electro-osmosis, finite cloud
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