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The continuous modeling of charge-stabilized colloidal suspensions in shear flows

Hallez, Yannick and Gergianakis, Ioannis and Meireles, Martine and Bacchin, Patrice The continuous modeling of charge-stabilized colloidal suspensions in shear flows. (2016) Journal of Rheology, vol. 60 (n° 6). pp. 1317-1329. ISSN 0148-6055

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Official URL: http://dx.doi.org/10.1122/1.4964895

Abstract

Flows of concentrated colloidal suspensions may exhibit a rich set of behaviors due to both hydrodynamic and colloidal interactions between the particles. Colloidal flows are generally modeled with an effective Navier–Stokes equation and a mass balance for the solid phase involving a diffusion coefficient given by the generalized Stokes–Einstein relation. This picture corresponds to a near equilibrium regime in which entropic and colloidal forces dominate over hydrodynamic interactions, the latter being totally ignored. On the other hand, suspension flows far from equilibrium require the modeling of significant hydrodynamic stresses responsible in particular for shear-induced migration, a phenomenon known to occur in some industrial processes involving colloids, such as ultrafiltration. The choice of the proper model ingredients requires a knowledge of the domains in parameter space in which colloidal or hydrodynamic effects are dominant. In this article, such a phase diagram is established for a channel flow of charge-stabilized colloids with a version of the suspension balance model including both colloidal and hydrodynamic effects at the continuous level. It is shown that the classical Péclet number is not sufficient to characterize the flow regime. The phase boundary between the colloidal and hydrodynamic regimes exhibits an original shape explained by the dependence of electrostatic interactions with the colloidal surface charge, and in particular by the phenomenon of ionic condensation. We also show that the phase diagram can be predicted based on the knowledge of a rescaled Péclet number comparing the hydrodynamic stress scale to the bulk modulus of the suspension. The criterion determined here provides important guidelines for the efficient modeling of colloidal flows.

Item Type:Article
Additional Information:Thanks to ACS editor. The definitive version is available at http://scitation.aip.org/ The original PDF of the article can be found at Journal of Rheology website : http://scitation.aip.org/content/sor/journal/jor2
HAL Id:hal-01392284
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Yannick HALLEZ
Deposited On:04 Nov 2016 10:22

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