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Issue 23, 2011
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Stability and non-linear response of 1D microfluidic-particle streams

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Abstract

In this paper, we study the dynamic response of 1D microfluidic-droplet streams to finite-amplitude longitudinal perturbations and demonstrate experimentally that the excitation of localized jams results in the propagation of shock waves. The shock velocity is shown to vanish as the average particle density approaches a critical value thereby leaving long-lived disturbance in the spatial organization of the streams. Using a gradient expansion of the hydrodynamic coupling between the advected particles, we then theoretically derive the non-linear constitutive equation relating particle current to particle density, and show that it leads to the Burgers equation for the droplet stream density.

Graphical abstract: Stability and non-linear response of 1D microfluidic-particle streams

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Publication details

The article was received on 30 Jun 2011, accepted on 14 Oct 2011 and first published on 26 Oct 2011


Article type: Communication
DOI: 10.1039/C1SM06226C
Citation: Soft Matter, 2011,7, 11082-11085
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    Stability and non-linear response of 1D microfluidic-particle streams

    N. Champagne, E. Lauga and D. Bartolo, Soft Matter, 2011, 7, 11082
    DOI: 10.1039/C1SM06226C

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