Two-dimensional lattice-Boltzmann model of hydrosol depth filtration

A two‐dimensional mathematical model of the initial stage of depth filtration is developed. This model describes the fluid flow and the particle transport and capture in a representative elementary volume of the filter. A typical simulation can be outlined as follows: as a first stage, the flow fiel...

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Bibliographic Details
Published in:AIChE journal 2006-01, Vol.52 (1), p.39-48
Main Authors: Duval, Hervé, Masson, David, Guillot, Jean-Bernard, Schmitz, Philippe, d'Humières, Dominique
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Chemical Sciences
Exact sciences and technology
Filters
Filtration
Fluid dynamics
hydrodynamics
Hydrodynamics of contact apparatus
lattice-Boltzmann model (LBM)
Liquid-liquid and fluid-solid mechanical separations
Mathematical analysis
non-Brownian particles
porous media
Simulation
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Summary:A two‐dimensional mathematical model of the initial stage of depth filtration is developed. This model describes the fluid flow and the particle transport and capture in a representative elementary volume of the filter. A typical simulation can be outlined as follows: as a first stage, the flow field is computed in the whole complex void space of the filter using a lattice–Boltzmann method. As a second stage, the trajectory analysis is derived by applying Newton's second law to suspended particles in the flowing fluid. The capture or the reentrainment of the particles encountering the filter surface is determined from a force balance that takes into account the drag force and the solid friction force. This approach, which provides both microscopic data such as the initial capture probability density and macroscopic data such as the filter coefficient, is validated on a model experiment of deep‐bed filtration. © 2005 American Institute of Chemical Engineers AIChE J, 2006
ISSN:0001-1541
1547-5905
DOI:10.1002/aic.10606