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Title: A Navier-Stokes phase-field crystal model for colloidal suspensions

Abstract

We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier-Stokes Phase-Field Crystal model combines ideas of dynamic density functional theory with particulate flow approaches and is derived in detail and related to other dynamic density functional theory approaches with hydrodynamic interactions. The derived system is numerically solved using adaptive finite elements and is used to analyze colloidal crystallization in flowing environments demonstrating a strong coupling in both directions between the crystal shape and the flow field. We further validate the model against other computational approaches for particulate flow systems for various colloidal sedimentation problems.

Authors:
;  [1]
  1. Institute of Scientific Computing, Technische Universität Dresden, D-01062 Dresden (Germany)
Publication Date:
OSTI Identifier:
22415690
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 142; Journal Issue: 15; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; COLLOIDS; CRYSTAL MODELS; CRYSTALLIZATION; CRYSTALS; DENSITY FUNCTIONAL METHOD; NAVIER-STOKES EQUATIONS; SEDIMENTATION; SUSPENSIONS

Citation Formats

Praetorius, Simon, and Voigt, Axel. A Navier-Stokes phase-field crystal model for colloidal suspensions. United States: N. p., 2015. Web. doi:10.1063/1.4918559.
Praetorius, Simon, & Voigt, Axel. A Navier-Stokes phase-field crystal model for colloidal suspensions. United States. https://doi.org/10.1063/1.4918559
Praetorius, Simon, and Voigt, Axel. 2015. "A Navier-Stokes phase-field crystal model for colloidal suspensions". United States. https://doi.org/10.1063/1.4918559.
@article{osti_22415690,
title = {A Navier-Stokes phase-field crystal model for colloidal suspensions},
author = {Praetorius, Simon and Voigt, Axel},
abstractNote = {We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier-Stokes Phase-Field Crystal model combines ideas of dynamic density functional theory with particulate flow approaches and is derived in detail and related to other dynamic density functional theory approaches with hydrodynamic interactions. The derived system is numerically solved using adaptive finite elements and is used to analyze colloidal crystallization in flowing environments demonstrating a strong coupling in both directions between the crystal shape and the flow field. We further validate the model against other computational approaches for particulate flow systems for various colloidal sedimentation problems.},
doi = {10.1063/1.4918559},
url = {https://www.osti.gov/biblio/22415690}, journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 15,
volume = 142,
place = {United States},
year = {Tue Apr 21 00:00:00 EDT 2015},
month = {Tue Apr 21 00:00:00 EDT 2015}
}