Electrophoretic transport through channels of periodically varying cross section

Ehud Yariv; Kevin D. Dorfman

doi:10.1063/1.2710894

Electrophoretic transport through channels of periodically varying cross section

Ehud Yariv, Kevin D. Dorfman

Chemical Engineering and Materials Science

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47 Scopus citations

Abstract

We analyze the electrophoretic transport of a point-sized Brownian particle in a narrow channel of periodically varying cross section. The mean long-time transport coefficients (effective velocity and dispersivity) are calculated using generalized Taylor-Aris dispersion (macrotransport) theory for spatially periodic media. Analytical results for slowly varying geometries are obtained using a long-wavelength perturbation scheme for both O(1) and large Péclet numbers.

Original language	English (US)
Article number	037101
Journal	Physics of Fluids
Volume	19
Issue number	3
DOIs	https://doi.org/10.1063/1.2710894
State	Published - Mar 2007

Bibliographical note

Funding Information:
K.D.D. acknowledges the support of the Camille and Henry Dreyfus Foundation New Faculty Award Program.

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10.1063/1.2710894

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abstract = "We analyze the electrophoretic transport of a point-sized Brownian particle in a narrow channel of periodically varying cross section. The mean long-time transport coefficients (effective velocity and dispersivity) are calculated using generalized Taylor-Aris dispersion (macrotransport) theory for spatially periodic media. Analytical results for slowly varying geometries are obtained using a long-wavelength perturbation scheme for both O(1) and large P{\'e}clet numbers.",

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AB - We analyze the electrophoretic transport of a point-sized Brownian particle in a narrow channel of periodically varying cross section. The mean long-time transport coefficients (effective velocity and dispersivity) are calculated using generalized Taylor-Aris dispersion (macrotransport) theory for spatially periodic media. Analytical results for slowly varying geometries are obtained using a long-wavelength perturbation scheme for both O(1) and large Péclet numbers.

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Electrophoretic transport through channels of periodically varying cross section

Abstract

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