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Involutive formulation and simulation for electroneutral microfluids

Published online by Cambridge University Press:  15 April 2011

Bijan Mohammadi  and
Jukka Tuomela
Bijan Mohammadi
Affiliation:
Institut de Mathématiques et Modélisation de Montpellier, Université Montpellier II, France. bijan.mohammadi@univ-montp2.fr
Jukka Tuomela
Affiliation:
Department of Physics and Mathematics, University of Eastern Finland, Finland. jukka.tuomela@uef.fi
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Abstract

We study a microfluidic flow model where the movement of several charged species is coupled with electric field and the motion of ambient fluid. The main numerical difficulty in this model is the net charge neutrality assumption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. Numerical experiments on electrophoresis and stacking show that the completed system significantly improves electroneutrality constraint conservation and recovers analytical results while a direct implementation of the initial model fails.

Keywords

Microfluidselectrophoresisstackingoverdetermined PDE systemsinvolution
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 45 , Issue 5 , September 2011 , pp. 901 - 913
Copyright
© EDP Sciences, SMAI, 2011

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