Journal
CHEMICAL ENGINEERING SCIENCE
Volume 89, Issue -, Pages 1-9Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ces.2012.11.018
Keywords
Soft-nanoparticle diffusion; Core-shell drag coefficient; Diffusion; Electrophoresis; Gels; Hydrodynamics
Categories
Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canada Research Chairs program
- Faculty of Engineering, McGill University
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Nanoparticle transport in porous materials, including nanoparticle gel electrophoresis, hinges on knowledge of the hydrodynamic drag coefficient. Here, we compute the drag force on a soft core-shell sphere translating in a porous medium from a continuum hydrodynamic model in which slow viscous flow in the soft shell and embedding porous medium are modelled using Brinkman's equations. This model unifies the Brinkman force for bare spheres in porous media and the drag force of Masliyah et al. (1987) for soft core-shell spheres in pure viscous fluids. We compare the drag force with the Brinkman force evaluated using the composite sphere hydrodynamic radius, showing that this convenient approximation is reasonable when the Brinkman screening length of the embedding porous medium is large compared to the core radius; otherwise, the Brinkman force can significantly underestimate the force. (C) 2012 Elsevier Ltd. All rights reserved.
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