Journal
ELECTROPHORESIS
Volume 28, Issue 18, Pages 3296-3301Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/elps.200700001
Keywords
Debye-Huckel approximation; EOF; Ritz method; superelliptic
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An efficient Ritz method is developed from the variational principle to solve the Poisson-Boltzmann equation under the Debye-Huckel approximation for studying the EOF in microchannels. The method is applied to the family of superelliptic cross sections which includes the elliptic channel and the rectangular channel as limiting cases. Several accurate tables presented are useful for design of electroosmotic channels, especially rectangular channels with rounded corners. It is shown how the flow rate Q is a sophisticated consequence of the nondimensional electrokinetic width K, the aspect ratio b as well as the superelliptic exponent n.
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