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) |
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Article number | 037101 |
Journal | Physics of Fluids |
Volume | 19 |
Issue number | 3 |
DOIs | |
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.