Druzgalski_Andersen_mani_2013

Summary

Direct numerical simulation of electroconvective instability and hydrodynamic chaos near an ion-selective surface. C.L. Druzgalski, M.B. Andersen and A. Mani. Physics of Fluids, 25(11):110804, 2013. (URL)

Abstract

We present a comprehensive analysis of transport processes associated with electro-hydrodynamic chaos in electrokinetic systems containing an ion-selective surface. The system considered is an aqueous symmetric binary electrolyte between an ion-selective surface and a stationary reservoir. Transport is driven by an external electric field. Using direct numerical simulations (DNS) of the coupled Poisson-Nernst-Planck and Navier-Stokes equations we show significant transitions in flow behavior from coherent vortex pairs to fully chaotic multi-layer vortex structures with a broadband energy spectrum. Additionally, we demonstrate that these vortices can eject both positive and negative free charge density into the bulk of the domain and completely disrupt the structure of the traditionally described extended space charge (ESC) region. The resulting dynamical behavior poses a challenge for traditional asymptotic modeling that relies on the quasi-electroneutral bulk assumption. Furthermore, we quantify for the first time the relative importance of energy dissipation due to viscous effects in various transport regimes. Lastly, we present a framework for the development of ensemble-averaged models (similar to RANS equations) and assess the importance of the unclosed terms based on our DNS data.

Bibtex entry

@ARTICLE { Druzgalski_Andersen_mani_2013,
    ABSTRACT = { We present a comprehensive analysis of transport processes associated with electro-hydrodynamic chaos in electrokinetic systems containing an ion-selective surface. The system considered is an aqueous symmetric binary electrolyte between an ion-selective surface and a stationary reservoir. Transport is driven by an external electric field. Using direct numerical simulations (DNS) of the coupled Poisson-Nernst-Planck and Navier-Stokes equations we show significant transitions in flow behavior from coherent vortex pairs to fully chaotic multi-layer vortex structures with a broadband energy spectrum. Additionally, we demonstrate that these vortices can eject both positive and negative free charge density into the bulk of the domain and completely disrupt the structure of the traditionally described extended space charge (ESC) region. The resulting dynamical behavior poses a challenge for traditional asymptotic modeling that relies on the quasi-electroneutral bulk assumption. Furthermore, we quantify for the first time the relative importance of energy dissipation due to viscous effects in various transport regimes. Lastly, we present a framework for the development of ensemble-averaged models (similar to RANS equations) and assess the importance of the unclosed terms based on our DNS data. },
    AUTHOR = { C.L. Druzgalski and M.B. Andersen and A. Mani },
    JOURNAL = { Physics of Fluids },
    TITLE = { Direct numerical simulation of electroconvective instability and hydrodynamic chaos near an ion-selective surface },
    URL = { http://dx.doi.org/10.1063/1.4818995 },
    VOLUME = { 25 },
    NUMBER = { 11 },
    PAGES = { 110804 },
    YEAR = { 2013 },
}