Membrane filtration with complex branching pore morphology

Sanaei, Pejman; Cummings, L. J.

doi:10.1103/physrevfluids.3.094305

Cited by 27 publications

(20 citation statements)

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“…branching pore structures. Some preliminary studies may be found in Sanaei and Cummings [32], and we are currently undertaking more ambitious studies into how membranes with arbitrary pore networks can be efficiently modeled. and c(x, 1/2, 0) = c(1−x, 1/2, 0) = 1 (in fact, c(x, 1/2, t) = c(1−x, 1/2, t) = 1 for 0 ≤ t ≤ t f ).…”

Section: Discussionmentioning

confidence: 99%

Modeling and design optimization for pleated membrane filters

et al. 2020

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Pleated membrane filters, which offer larger surface area to volume ratios than unpleated membrane filters, are used in a wide variety of applications. However, the performance of the pleated filter, as characterized by a flux-throughput plot, indicates that the equivalent unpleated filter provides better performance under the same pressure drop. Earlier work (Sanaei & Cummings 2016) used a highly-simplified membrane model to investigate how the pleating effect and membrane geometry affect this performance differential. In this work, we extend this line of investigation and use asymptotic methods to couple an outer problem for the flow within the pleated structure to an inner problem that accounts for the pore structure within the membrane. We use our new model to formulate and address questions of optimal membrane design for a given filtration application. *

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Section: Discussionmentioning

confidence: 99%

Modeling and design optimization for pleated membrane filters

et al. 2020

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“…In this case, the throughput is then also conveniently equal to the number of particles that have entered the filter. The flux through each pore in the filter structure is calculated using (3). The fluid pressure on the upper and lower surface orifices follows from the boundary conditions that enforce the constant transmembrane pressure difference, ∆P.…”

Section: Filter Operationmentioning

confidence: 99%

“…Theoretical models for filters traditionally make a series of simplifying assumptions that enable a tractable set-up to be constructed and studied. For instance, this might be periodicity in the filter construct [1], or a lack of branching of pores [2,3]. Such assumptions provide appropriate models for certain filters, for example track-etched membranes, which comprise approximately uniformly sized straight-through pores.…”

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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“…An important new feature of our present work is the incorporation of inter-layer junctions with concentration- and pressure-equalizing capabilities that influence membrane performance metrics (detailed in § 2.3). Furthermore, neither Sanaei & Cummings (2018) nor Griffiths et al (2016) consider pore-size variation within individual layers. Such pore-size variation (which we term intra-layer heterogeneity, or heterogeneity in short) is another novel feature of the present work: it is inevitable due to imperfect manufacturing and, as we shall see, it may have non-intuitive implications for membrane performance.…”

Section: Introductionmentioning

confidence: 99%