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Mass transfer through a concentric-annulus microchannel driven by an oscillatory electroosmotic flow of a Maxwell fluid
Journal of Non-Newtonian Fluid Mechanics ( IF 3.1 ) Pub Date : 2020-03-28 , DOI: 10.1016/j.jnnfm.2020.104281
M. Peralta , J. Arcos , F. Méndez , O. Bautista

In this work we develop a theoretical analysis for the mass transfer of an electroneutral solute in a concentric-annulus microchannel driven by an oscillatory electroosmotic flow (OEOF) of a fluid whose behavior follows the Maxwell model. The annular microchannel connects two reservoirs that have different concentrations of the solute. For the mathematical modeling of the OEOF, we assume the Debye-Hückel approximation and that the wall zeta potentials of the micro-annulus can be symmetric or asymmetric. The governing equations are nondimensionalized, from which the following dimensionless parameters appear: an angular Reynolds number, the ratio of the wall zeta potentials of the annular microchannel, the electrokinetic parameter, the dimensionless gap between the two cylinders, the Schmidt number and the elasticity number. The results indicate that the velocity and concentration distributions across the annular microchannel become non-uniform as the angular Reynolds number increases, and depend notably on the elasticity number. It is also revealed that with a suitable combination of values of the elasticity number and gap between the two cylinders, together with the angular Reynolds number, the total mass transport rate can be increased and the species separation can be controlled.



中文翻译:

通过麦克斯韦流体的振荡电渗流驱动的同心环微通道传质

在这项工作中,我们开发了一种由行为遵循麦克斯韦模型的流体的振荡电渗流(OEOF)驱动的同心环形微通道中电子中性溶质的传质的理论分析。环形微通道连接两个具有不同溶质浓度的储层。对于OEOF的数学建模,我们假设Debye-Hückel近似,并且微环空的壁zeta电位可以对称或不对称。控制方程是无量纲的,从中出现以下无量纲参数:角度雷诺数,环形微通道壁zeta势之比,电动参数,两个圆柱之间的无量纲间隙,施密特数和弹性数。结果表明,随着角雷诺数的增加,环形微通道上的速度和浓度分布变得不均匀,并且特别取决于弹性数。还揭示出,通过弹性数和两个圆柱体之间的间隙的值的适当组合以及角雷诺数,可以提高总的物质传输速率并可以控制物质的分离。

更新日期:2020-03-28
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