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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/27806

Title: Dynamical density functional theory for the evaporation of droplets of nanoparticle suspension
Authors: Chalmers, Christopher
Smith, Roger
Archer, Andrew J.
Issue Date: 2017
Publisher: © American Chemical Society
Citation: CHALMERS, C., SMITH, R. and ARCHER, A.J., 2017. Dynamical density functional theory for the evaporation of droplets of nanoparticle suspension. Langmuir, 33(50), pp. 14490-14501.
Abstract: We develop a lattice gas model for the drying of droplets of a nanoparticle suspension on a planar surface, using dynamical density functional theory (DDFT) to describe the time evolution of the solvent and nanoparticle density profiles. The DDFT assumes a diffusive dynamics but does not include the advective hydrodynamics of the solvent, so the model is relevant to highly viscous or near to equilibrium systems. Nonetheless, we see an equivalent of the coffee-ring stain effect, but in the present model it occurs for thermodynamic rather the fluid-mechanical reasons. The model incorporates the effect of phase separation and vertical density variations within the droplet and the consequence of these on the nanoparticle deposition pattern on the surface. We show how to include the effect of slip or no-slip at the surface and how this is related to the receding contact angle. We also determine how the equilibrium contact angle depends on the microscopic interaction parameters.
Description: This document is the Accepted Manuscript version of a Published Work that appeared in final form in Langmuir, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see http://pubs.acs.org/doi/abs/10.1021/acs.langmuir.7b03096.
Version: Accepted for publication
DOI: 10.1021/acs.langmuir.7b03096
URI: https://dspace.lboro.ac.uk/2134/27806
Publisher Link: https://doi.org/10.1021/acs.langmuir.7b03096
ISSN: 0743-7463
Appears in Collections:Published Articles (Maths)

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