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Chaotic advection generated by Laplace forces in an electrolyte*

Published online by Cambridge University Press:  08 November 2013

Gérard Vinsard ,
Stéphane Dufour  and
Esteban Saatdjian
Gérard Vinsard*
Affiliation:
Université de Lorraine, LEMTA, UMR CNRS 7563, 54500 Vandœuvre-lès-Nancy, France
Stéphane Dufour
Affiliation:
Université de Lorraine, LEMTA, UMR CNRS 7563, 54500 Vandœuvre-lès-Nancy, France
Esteban Saatdjian
Affiliation:
Université de Lorraine, LEMTA, UMR CNRS 7563, 54500 Vandœuvre-lès-Nancy, France
*
ae-mail: gerard.vinsard@ensem.inpl-nancy.fr
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Abstract

Mixing and chaotic advection are studied in a liquid electrolyte set in motion by an electrical current passing through the fluid which is perpendicular to a magnetic field (Laplace force). Since the characteristic length in this system is very small, the inertia terms are negligible and the fluid motion is governed by the Stokes equations. Chaotic advection can occur in this flow if the potential between two electrodes is modulated time-periodically. Two tools have been implemented to characterize mixing in this flow. Poincare sections are plotted in order to distinguish between regular and chaotic regions and the advection of a blob of dye injected into the liquid is calculated and successfully compared to experiments. This very small device is shown to be an effective fluid mixer.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 64 , Issue 2 , November 2013 , 24504
Copyright
© EDP Sciences, 2013

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Footnotes

*

Contribution to the Topical Issue “Numelec 2012”, Edited by Adel Razek.

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