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Electroosmotic Flows with Random Zeta Potential

✍ Scribed by James P. Gleeson

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
207 KB
Volume
249
Category
Article
ISSN
0021-9797

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✦ Synopsis

The hydrodynamic problem of electroosmotic flow in a cylindrical capillary with random zeta potential is solved in the limit of small Deybe length and low Reynolds number. Averages are defined over multiple experiments and the mean axial velocity is found to be a plug flow. The variance of the velocity exhibits parabolic-like variation across the capillary. Average concentrations of samples transported by the flow are approximated by defining an effective diffusivity coefficient. Theoretical formulas for the average concentration are supported by numerical experiments.

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## Abstract Electroosmotic flow in a straight micro‐channel of rectangular cross‐section is computed numerically for several situations where the wall zeta‐potential is not constant but has a specified spatial variation. The results of the computation are compared with an earlier published asymptot