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Electroosmotic flow through a microparallel channel with 3D wall roughness
Author(s) -
Chang Long,
Jian Yongjun,
Buren Mandula,
Sun Yanjun
Publication year - 2016
Publication title -
electrophoresis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.666
H-Index - 158
eISSN - 1522-2683
pISSN - 0173-0835
DOI - 10.1002/elps.201500228
Subject(s) - mechanics , electrokinetic phenomena , laplace's equation , amplitude , poisson's equation , laplace transform , physics , perturbation (astronomy) , surface finish , materials science , impulse (physics) , classical mechanics , optics , mathematical analysis , mathematics , partial differential equation , composite material , quantum mechanics , nanotechnology
In this paper, a perturbation method is introduced to study the EOF in a microparallel channel with 3D wall roughness. The corrugations of the two walls are periodic sinusoidal waves of small amplitude in two directions either in phase or half‐period out of phase. Based on linearized Poisson–Boltzmann equation, Laplace equation, and the Navier–Stokes equations, the perturbation solutions of velocity, electrical potential, and volume flow rate are obtained. By using numerical computation, the influences of the wall corrugations on the mean velocity are analyzed. The variations of electrical potential, velocity profile, mean velocity, and their dependences on the wave number α and β of wall corrugations in two directions, the nondimensional electrokinetic width K , and the zeta potential ratio between the lower wall and the upper wall ς are analyzed graphically.