Lattice Boltzmann method for colloidal dispersions with phase change
type: Item
instance of: scholarly article
title: Lattice Boltzmann method for colloidal dispersions with phase change
zbMATH Open document ID: 1187.76726
DOI: 10.1504/PCFD.2008.018094
author: M. J. Clifton
author: Richard Fournier
author: Benjamin Piaud
author: Stéphane Blanco
published in: Progress in Computational Fluid Dynamics
publication date: 2008-06-16T00:00:00Z
review text: Summary: Colloidal dispersions are known to undergo phase transition in a number of processes. This often gives rise to formation of structures in a flowing medium. In this paper, we present a model for flow of a colloidal dispersion with phase change. Two distribution functions are used. The colloid is described as a non-ideal fluid capable of phase change, but rather than taking the dispersion medium as the second fluid, a better choice is the dispersion (water plus colloid) which can be considered as an incompressible fluid. This choice allows a standard Lattice Boltzmann (LB) model for incompressible fluids to be used in combination with for the 'free-energy' LB model for the colloid. The coupling between the two fluids is the drag force on the colloid and the dependence of the viscosity of the overall fluid on the particle volume fraction. The problems raised by characteristic times and lengths have been treated. The main application considered is the growth dynamics or domain structuration of protein dispersions during dead-end filtration on a membrane surface.
Mathematics Subject Classification ID: 76M28
zbMATH DE Number: 5288563
zbMATH Keywords: colloids
zbMATH Keywords: non-ideal fluids
zbMATH Keywords: phase transition
zbMATH Keywords: lattice Boltzmann method
MaRDI profile type: Publication
full work available at URL: pcfd.2008.018094
OpenAlex ID: W2094614822
description: scientific article; zbMATH DE number 5288563