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arXiv 1206.1707physics.flu-dyn
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等速电泳中的样品分散

Sample dispersion in isotachophoresis with Poiseuille counterflow

Somnath Bhattacharyya, Partha P. Gopmandal, Tobias Baier, Steffen Hardt

摘要:

等速电泳(ITP)的特定模式采用与样品电迁移方向相反的压力驱动流,以便将样品区锚定在沿着通道或毛细管的特定位置处。我们调查这种情况下,使用二维有限体积模型的基础上能斯特-普朗克方程。施加的Poiffille流动轮廓导致样品区的显著分散。这种效应对于ITP分析应用中的分辨率是不利的。我们调查的对流分散的影响,其特征在于由面积平均宽度的样品区,为各种值的样品Péclet数,以及样品和相邻的电解质的相对迁移率。面积平均浓度的泰勒-阿里斯型的有效轴向扩散系数的基础上的一维模型示出产生良好的协议与有限体积计算。这证明了使用这种简单的模型,并打开了大门,ITP协议的快速模拟与Poiffille逆流。

英文摘要:

A particular mode of isotachophoresis (ITP) employs a pressure-driven flow opposite to the sample electromigration direction in order to anchor a sample zone at a specific position along a channel or capillary. We investigate this situation using a two-dimensional finite-volume model based on the Nernst-Planck equation. The imposed Poiseuille flow profile leads to a significant dispersion of the sample zone. This effect is detrimental for the resolution in analytical applications of ITP. We investigate the impact of convective dispersion, characterized by the area-averaged width of a sample zone, for various values of the sample Péclet-number, as well as the relative mobilities of the sample and the adjacent electrolytes. A one-dimensional model for the area-averaged concentrations based on a Taylor-Aris-type effective axial diffusivity is shown to yield good agreement with the finite-volume calculations. This justifies the use of such simple models and opens the door for the rapid simulation of ITP protocols with Poiseuille counterflow.

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