The influence of porous-medium microstructure on filtration

Printsypar, Galina; Bruna, María; Griffiths, Ian M.

doi:10.1017/jfm.2018.875

Cited by 18 publications

(16 citation statements)

References 23 publications

(33 reference statements)

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“…A step in this direction is taken in [4], for filters composed of a series of obstacles onto which material adheres. A 'pseudo-randomness' is introduced by considering a random arrangement within a suitably large representative volume and repeating this in space.…”

Section: Introductionmentioning

confidence: 99%

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The role of tortuosity in filtration efficiency: A general network model for filtration

Griffiths

Mitevski

Vujkovac

et al. 2020

Journal of Membrane Science

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Filters are composed of a complex network of interconnected pores each with tortuous paths. We present a general network model to describe a filter structure comprising a random network of interconnected pores, relaxing traditional assumptions made with simplified theoretical models. We use the model to examine the dependence of the filter performance on both its underlying pore structure (expressed through the pore interconnectivity and porosity gradient) and the feed composition (expressed through the size of the contaminants). We find that a simple scaling allows the performance curves over a wide range of the filter material properties to be mapped onto a single master curve. We also study the link between the tortuosity of a filter and its resulting performance, leading to further self-similarity observations. When we vary the properties of the feed, however, the performance curves are distinct from one another and do not collapse onto a single master curve. Our network model allows us to probe the behaviour of a complex and realistic filter configuration within a framework that is easy to implement and study, enabling accelerated testing and reducing experimental costs in filtration challenges.

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Section: Introductionmentioning

confidence: 99%

“…The results of the fully general pore-based network model derived in this paper are compared with those obtained for obstacle-laden filters considered in [4,10,11] where sensible, while areas in which this model is superior are probed, to add to the current understanding of the filtration process afforded by current theoretical models.…”

Section: Introductionmentioning

confidence: 99%

The role of tortuosity in filtration efficiency: A general network model for filtration

Griffiths

Mitevski

Vujkovac

et al. 2020

Journal of Membrane Science

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“…where n s is the normal to the solid. In summary, our model readŝ 11) which must be coupled with appropriate boundary conditions onĉ (e.g., at the top of the porous medium), and an initial condition. This model holds within the complicated domainˆ around the solid structure of the porous medium.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…For simplicity, we suppose that the microscale solid structure consists of a periodic square lattice of circular solids, each with constant radiusr and located in the centre of each cell, sizê d. The square array periodicity may be relaxed to allow for a more realistic quasiperiodicity but the methodology is similar [11]. We assume that the solid structure is coated by a layer of the agent, thicknessR, which is reacted away by the surrounding cleanser.…”

Section: Agent Coats the Solid Microstructurementioning

confidence: 99%

Homogenisation problems in reactive decontamination

et al. 2019

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The decontamination of hazardous chemical agents from porous media is an important and critical part of the clean-up operation following a chemical weapon attack. Decontamination is often achieved through the application of a cleanser, which reacts on contact with an agent to neutralise it. While it is relatively straightforward to write down a model that describes the interplay of the agent and cleanser on the scale of the pores in the porous medium, it is computationally expensive to solve such a model over realistic spill sizes.In this paper, we consider the homogenisation of a pore-scale model for the interplay between agent and cleanser, with the aim of generating simplified models that can be solved more easily on the spill scale but accurately capture the microscale structure and chemical activity. We consider two situations: one in which the agent completely fills local porespaces and one in which it does not. In the case when the agent does not completely fill the porespace, we use established homogenisation techniques to systematically derive a reaction–diffusion model for the macroscale concentration of cleanser. However, in the case where the agent completely fills the porespace, the homogenisation procedure is more in-depth and involves a two-timescale approach coupled with a spatial boundary layer. The resulting homogenised model closely resembles the microscale model with the effect of the porous material being incorporated into the parameters. The two models cater for two different spill scenarios and provide the foundation for further study of reactive decontamination.

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“…Also, most reports use well-defined geometric models for the adsorptive media like spheres, cylinders, fibers, square pillars and constricted tubes rather than actual microporous polymer structures. Several groups have published theoretical analyses for filter media comprising uniform or mixed fibers in which the porosity decreases with flow direction [16][17][18], and for particle drag above a membrane toward pores at the top face [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%