Article: Lattice Boltzmann method for colloidal dispersions with phase change Journal: Progress in Computational Fluid Dynamics, An International Journal (PCFD) 2008 Vol.8 No.1/2/3/4 pp.129 - 137 Abstract: 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. Inderscience Publishers - linking academia, business and industry through research

Title: Lattice Boltzmann method for colloidal dispersions with phase change

Authors: B. Piaud, M.J. Clifton, S. Blanco, R. Fournier

Addresses: LAboratoire PLAsma et Conversion de l'Energie (LAPLACE), University of Toulouse, Toulouse, France. ' Laboratoire de Genie Chimique (LGC), University of Toulouse, Toulouse, France. ' LAboratoire PLAsma et Conversion de l'Energie (LAPLACE), University of Toulouse, Toulouse, France. ' LAboratoire PLAsma et Conversion de l'Energie (LAPLACE), University of Toulouse, Toulouse, France

Abstract: 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.

Keywords: colloids; non-ideal ﬂuids; phase transition; lattice Boltzmann method; colloidal dispersions; incompressible fluids; growth dynamics; domain structuration; protein dispersions; dead-end filtration; membrane surface.

DOI: 10.1504/PCFD.2008.018094

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.129 - 137

Published online: 30 Apr 2008 *

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Title: Lattice Boltzmann method for colloidal dispersions with phase change

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