English

Sample dispersion in isotachophoresis with Poiseuille counterflow

Fluid Dynamics 2013-02-28 v2

Abstract

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 P\'{e}clet-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.

Keywords

Cite

@article{arxiv.1206.1707,
  title  = {Sample dispersion in isotachophoresis with Poiseuille counterflow},
  author = {Somnath Bhattacharyya and Partha P. Gopmandal and Tobias Baier and Steffen Hardt},
  journal= {arXiv preprint arXiv:1206.1707},
  year   = {2013}
}