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The influence of porous-medium microstructure on filtration

Published online by Cambridge University Press:  27 December 2018

G. Printsypar Open the ORCID record for G. Printsypar [Opens in a new window] ,
M. Bruna Open the ORCID record for M. Bruna [Opens in a new window]  and
I. M. Griffiths Open the ORCID record for I. M. Griffiths [Opens in a new window]
G. Printsypar
Affiliation:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
M. Bruna
Affiliation:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
I. M. Griffiths*
Affiliation:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
*
†Email address for correspondence: [email protected]
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Abstract

We investigate how a filter-medium microstructure influences filtration performance. We derive a theory that generalizes classical multiscale models for regular structures to account for filter media with more realistic microstructures, comprising random microstructures with polydisperse unidirectional fibres. Our multiscale model accounts for the fluid flow and contaminant transport at the microscale (over which the medium structure is fully resolved) and allows us to obtain macroscopic properties such as the effective permeability, diffusivity and fibre surface area. As the fibres grow due to contaminant adsorption, this leads to contact of neighbouring fibres. We propose an agglomeration algorithm that describes the resulting behaviour of the fibres upon contact, allowing us to explore the subsequent time evolution of the filter medium in a simple and robust way. We perform a comprehensive investigation of the influence of the filter-medium microstructure on filter performance in a spectrum of possible filtration scenarios.

JFM classification

Mathematical Foundations: Computational methods Low-Reynolds-number flows: Porous media
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 861 , 25 February 2019 , pp. 484 - 516
Copyright
© 2018 Cambridge University Press 

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