Optimising the flow through a concertinaed filtration membrane

Pereira, Victoria; Dalwadi, Mohit P.; Ruiz‐Trejo, Enrique; Griffiths, Ian M.

doi:10.1017/jfm.2021.26

Cited by 3 publications

(6 citation statements)

References 15 publications

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“…6(a)]. This configuration highlights the trade-off between maximizing the membrane area (by angling the membrane) and the transmembrane pressure drop (by shifting the membrane off-center) that was identified in previous work analyzing the analogous steady-state system [5]. We find that to maximize the total throughput, it is more important to maximize the transmembrane pressure drop than the available membrane area.…”

Section: The Optimal Membrane Configurationsupporting

confidence: 53%

“…The steady-state flow studied in our previous paper [5] is reversible and the results for β > 0 can be generalized to those for β < 0 with the subdomains ˆ 1 and ˆ 2 switched for symmetric flux. However, in this paper we consider the transient system with an evolving cake front in which the flow is not reversible and as such we cannot obtain the results for β < 0 from the β > 0 set-up.…”

Section: Model Developmentmentioning

confidence: 90%

“…Previous work in Ref. [5] presents a full analysis of the particle-free steady-state flow through a concertinaed filtration membrane. In this section, we look at the effect of adding particles into the system by considering how the steady-state flow changes with the volume fraction of particles.…”

Section: The Effect Of Adding Particles To the Steady-state Systemmentioning

confidence: 99%

“…Choosing a smaller particle volume fraction [together with rescaling time in the cake evolution (2.36d)] would enable the reduction of (2.36) to a quasisteady system of equations, the dynamics of which were studied in Ref. [5]. We therefore choose a large particle volume fraction, which enables us to study the richest behavior capturing both substantial caking and pressure evolution.…”

Section: The Effect Of Membrane Configurationmentioning

confidence: 99%

“…The motivation for this study arises from an industrial example of such a direct-flow device designed by Smart Separations Ltd [4]. The steady-state version of the model presented herein is derived in earlier work [5]. The goal of the previous study was to optimize the filtration performance for a particle-free steady flow.…”

Section: Introductionmentioning

confidence: 99%

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Role of caking in optimizing the performance of a concertinaed ceramic filtration membrane

2021

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Membrane filtration is a process of separating particles from fluids. Over time, particles are trapped within the membrane structure and on the membrane surface, forming a cake. In this paper, we develop a mathematical model for the transient blocking dynamics in a concertinaed filtration device composed of angled porous membranes and dead-ends. We examine how the inclusion of particles affects the flow dynamics, and we uncover potential inaccuracies in relying on flux-throughput curves to distinguish between caking and internal blocking dynamics. Moreover, we show that optimal filtration performance strongly depends on both the performance metric and the membrane configuration. Finally, to optimize the use of membrane area, we introduce a method for deriving a nonuniform permeance that ensures constant initial cake growth.

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Section: The Optimal Membrane Configurationsupporting

confidence: 53%

Section: Model Developmentmentioning

confidence: 90%

Section: The Effect Of Adding Particles To the Steady-state Systemmentioning

confidence: 99%

Section: The Effect Of Membrane Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Role of caking in optimizing the performance of a concertinaed ceramic filtration membrane

2021

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Flow and transport in a pleated filter

Fong

Sanaei

2022

Physics of Fluids

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A pleated membrane filter consists of a porous membrane layer, which is surrounded by two supporting layers, and the whole structure is pleated and placed into a cylindrical cartridge. Pleated membrane filters are used in a variety of industrial applications, since they offer more surface area to volume ratio that is not found in equivalent flat filters. In this work, we introduce a novel three-dimensional model of a pleated membrane filter that consists of an empty region, a pleated region, and a hollow region. The advection diffusion equation is used to model contaminant concentration in the membrane pores along with Darcy's law to model the flow within the membrane and support layers, while the Stokes equation is used for the flow in the empty region and the hollow region. We further use the key assumptions of our model based on small aspect ratios of the filter cartridge and the pleated membrane to simplify the governing equations, which can be easily solved by numerical methods. By performing these steps, we seek to discover an optimal pleat packing density to find the optimum filter performance, while not exceeding a threshold for the particle concentration at the filter outlet.

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Optimization of pleated filters

Fong,

Sanaei

2024

Physics of Fluids

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Pleated membrane filters are ubiquitous in many industrial filtration systems due to their high surface-area-to-volume ratio. However, their performance often falls short compared to flat non-pleated membrane filters of the same membrane surface area. This raises the question: What is the optimal initial internal pore structure of the membrane to achieve the most efficient filtration? To address this question, we first present a mathematical model describing the feed flow and particle transport within the complex geometry of a pleated filter based on our previous work [Fong and Sanaei, “Flow and transport in a pleated filter,” Phys. Fluids 34, 097102 (2022)]. We then analyze the governing equations using asymptotic analysis by exploiting the small aspect ratios of the pleated membrane and filter cartridge. In the second part of the paper, we formulate a computationally efficient optimization problem aimed at determining the optimal initial pore shape to improve filtration performance. Depending on the initial average porosity, substantial differences in the computed optimal pore profile are observed. Furthermore, by varying a geometric parameter in our model, we investigate the influence of the pleat packing density on the optimal initial pore shape.

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Optimising the flow through a concertinaed filtration membrane

Abstract: Abstract

Cited by 3 publications

References 15 publications

Role of caking in optimizing the performance of a concertinaed ceramic filtration membrane

Role of caking in optimizing the performance of a concertinaed ceramic filtration membrane

Flow and transport in a pleated filter

Optimization of pleated filters

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