Study of the Deep-Bed Filtration Using Pore Filtration Model (PFM)

Yang, Yangdongfang; Rutland, Christopher J.; Rothamer, David

doi:10.4271/2018-01-0956

Cited by 12 publications

(9 citation statements)

References 24 publications

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“…This essentially clarifies that the shape of the pore-space influences advection-based deposition by altering flow patterns, while the tube orientation impacts sedimentation driven by gravity. For S that approaches zero, previous studies that omit gravity apply (e.g., Chang et al, 2008;Chaumeil & Crapper, 2014;Y. Yang et al, 2018).…”

Section: Collection Efficienciesmentioning

confidence: 99%

“…Prior research on attachment in constricted tube models has focused on Brownian particles and smaller non‐Brownian particles, whose trajectories are predominantly governed by the interplay between Brownian motion, DLVO interactions, and hydrodynamic drag (Chang et al., 2003, 2008; Chaumeil & Crapper, 2014; Y. Yang et al., 2018), without considering gravitational sedimentation and hydrodynamic lift. Physical models considering these processes, in pore geometries other than the constricted tube model, have been studied in some prior research (e.g., Johnson, 2020; Rasmuson, Erickson, et al., 2019; Yu et al., 2022).…”

Section: Introductionmentioning

confidence: 99%

“…Prior research on attachment in constricted tube models has focused on Brownian particles and smaller non-Brownian particles, whose trajectories are predominantly governed by the interplay between Brownian motion, DLVO interactions, and hydrodynamic drag (Chang et al, 2003(Chang et al, , 2008Chaumeil & Crapper, 2014;Y. Yang et al, 2018), without considering gravitational sedimentation and hydrodynamic lift.…”

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confidence: 99%

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Colloid Transport and Retention in Constricted Tube Pore Spaces With Diverse Geometries and Orientations

Tang,

Raoof

2024

Water Resources Research

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Colloidal contaminants infiltrate and can be attached onto grain surfaces of soils and aquifers, where they may persist. In this study, Lagrangian particle tracking is used to investigate particle trajectories and attachment in pore and fracture spaces modeled as three‐dimensional constricted tubes with diverse geometries and orientations relative to gravity. A comprehensive force balance arising from hydrodynamic drag and lift, gravitational settling, Brownian motion, and attractive DLVO interactions is simulated. Results show that the collection efficiency η is primarily governed by the dimensionless settling number 𝑆, representing the relative dominance of gravitational over hydrodynamic forces experienced by the particles. High‐𝑆 scenarios have larger η and are more sensitive to pore orientation, while low‐𝑆 scenarios are more sensitive to pore geometry. For all scenarios but especially low‐S scenarios, the majority of colloid attachment occurs near pore extremities, where fluid velocities are low, such that mechanical remobilization of particles attached is improbable. In low‐𝑆 scenarios, particles may spread and become immobilized at greater distances from the contamination source owing to lower η, are harder to mechanically remobilize as they attach more disproportionately at pore extremities, and have trajectories more sensitive to minor forces, rendering their environmental fates complex. Characterizing the collection efficiency and deposition morphology for various pore space geometries and orientations is crucial in understanding particle fate and developing continuum‐scale models of colloid transport in real soils, where pore spaces are heterogeneous and advection paths are tortuous.

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Section: Collection Efficienciesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Colloid Transport and Retention in Constricted Tube Pore Spaces With Diverse Geometries and Orientations

Tang,

Raoof

2024

Water Resources Research

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“…48 Many research works have focused on understanding the gradual bridging of the pores close to the wall surface with deposit and the transition from deep-bed to cake filtration. 38,39,49–53…”

Section: Modellingmentioning

confidence: 99%

Filtration efficiency and pressure drop modelling of particulate filters with rear plug damage

Haralampous

Μαστρόκαλος

Tzorbatzoglou

2020

International Journal of Engine Research

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A model suitable for wall-flow particulate filters with partial rear plug damage is developed and experimentally validated in this work. A ceramic filter with 16% of the rear plugs mechanically removed is tested at steady-state conditions on the engine bench and transient driving cycle conditions on the chassis dynamometer. After decanning of the monolith, destructive analysis is conducted to identify deposit loading variations and scanning electron microscopy is used to study the deposit structures in the channels. It is shown that channels without rear plugs develop distinct deposit structures in the entry zone. Hence, a local pressure loss coefficient is applied to model the effect of entrance flow constrictions, taking also into account deposit restructuring phenomena at higher flow rates. In addition, a deep-bed filtration submodel is used to capture the effect of non-uniform wall velocities on deposit accumulation in the wall. The modified model is first fitted to the engine bench data and then validated in a wider range of conditions using the driving cycle tests. With the exception of prolonged steady-state loading conditions, good pressure drop and filtration efficiency predictions are obtained throughout the tests in conjunction with correct deposit property profiles. Notably, the cold-start worldwide harmonized light vehicles test cycle shows that the current European on-board diagnosis threshold limit for particulate mass is too relaxed to trigger a malfunction indication for moderate filter faults. In conclusion, the model can be applied in damaged particulate filter studies for the assessment of leaked particulate mass, the specification of more effective legislation limits and the development of rigorous on-board diagnosis systems and algorithms.

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“…Therefore, the influence of the microstructure of the porous wall on its filtration performance is particularly important, and the microstructure of porous media needs to be considered in the study. To more closely represents the pores in a GPF substrate, Yang et al 24 proposed Pore Filtration Model (PFM) based on a constricted tube unit collector rather than the traditional spherical unit collector. Yang and Strzelec 25 conducted a two-dimensional CFD study on the effects of pore size and distribution for clean GPFs using spherical collector model, and later on Yang et al 26 developed the Throat Unit Collector model to characterize the GPF wall microstructure.…”

Section: Introductionmentioning

confidence: 99%

Simulation of deep-bed filtration of a gasoline particulate filter with inhomogeneous wall structure under different particle size distributions

Shen

Zhang

et al. 2021

International Journal of Engine Research

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In order to describe the microstructure of the porous wall of a gasoline particulate filter (GPF), a pore size distribution based on a probability density function (PDF) and a non-uniform porosity distribution are introduced. The dynamic process of deep-bed filtration in GPF with inhomogeneous wall structure is studied, considering different particle size distributions (PSDs). The results show that most of the particles are captured in the top region of the porous wall, in which the porosity and permeability reduce more obviously during dynamic filtration, and the bottom of the porous wall contributes little to the overall filtration. As time increases, the filtration efficiency of the porous wall for each particle size increases, and the most penetrating particle’s diameter becomes smaller gradually. The dynamic evolution of characteristic parameters of the porous wall, the most efficient filtration region, the pressure drop and the duration of deep-bed filtration are strongly influenced by PSD. This research illustrates the necessity to consider difference of PSDs when working on the filtration process of GPFs.

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Study of the Deep-Bed Filtration Using Pore Filtration Model (PFM)

Cited by 12 publications

References 24 publications

Colloid Transport and Retention in Constricted Tube Pore Spaces With Diverse Geometries and Orientations

Colloid Transport and Retention in Constricted Tube Pore Spaces With Diverse Geometries and Orientations

Filtration efficiency and pressure drop modelling of particulate filters with rear plug damage

Simulation of deep-bed filtration of a gasoline particulate filter with inhomogeneous wall structure under different particle size distributions

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