Improved population balance model for straining-dominant deep bed filtration using network calculations

Yuan, Hao; You, Zhenjiang; Shapiro, Alexander; Bedrikovetsky, Pavel

doi:10.1016/j.cej.2013.04.031

Cited by 36 publications

(13 citation statements)

References 37 publications

(112 reference statements)

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“…These processes include microfiltration (Lim and Bai, 2003), packed-bed filtration (Yuan et al, 2013;Islam et al, 2011;Tien and Payatakes, 1979), transport of colloidal contaminants such as bacteria and viruses in ground water (Harvey et al, 1993;Tufenkji, 2007), as well as the formation of riverbeds (Battin and Sengschmitt, 1999).…”

Section: Introductionmentioning

confidence: 99%

Effects of pore size distribution and coordination number on the prediction of filtration coefficients for straining from percolation theory

Ding

Zhang

et al. 2015

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 99%

Effects of pore size distribution and coordination number on the prediction of filtration coefficients for straining from percolation theory

Ding

Zhang

et al. 2015

Chemical Engineering Science

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“…The pores smaller than the threshold value do not form an infinite cluster. The threshold effect is described by the percolation model of porous media [43][44][45]. Percolation description of porous space with corresponding calculations of accessibility and flux reduction factors will significantly change the form of fractional flow curve [32] and affect the solution.…”

Section: Resultsmentioning

confidence: 99%

Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media

You

Bedrikovetsky

Кузьмина

2013

Abstract and Applied Analysis

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Long-term deep bed filtration in porous media with size exclusion particle capture mechanism is studied. For monodispersed suspension and transport in porous media with distributed pore sizes, the microstochastic model allows for upscaling and the exact solution is derived for the obtained macroscale equation system. Results show that transient pore size distribution and nonlinear relation between the filtration coefficient and captured particle concentration during suspension filtration and retention are the main features of long-term deep bed filtration, which generalises the classical deep bed filtration model and its latter modifications. Furthermore, the exact solution demonstrates earlier breakthrough and lower breakthrough concentration for larger particles. Among all the pores with different sizes, the ones with intermediate sizes (between the minimum pore size and the particle size) vanish first. Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores.

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“…The whole discussion on the suitability of Fe 0 as remediation agent is mostly based on the redox reactivity of relevant species, with little attention paid to the adsorptive affinity of corrosion products, particularly for organic species . The way forward is to regard Fe 0 as in situ generator of contaminant collectors in a complex filtration system .…”

Section: Has 25 Years Fe0 Research Really Gone Astray?mentioning

confidence: 99%

Designing Metallic Iron Packed‐Beds for Water Treatment: A Critical Review

Noubactep¹

2016

CLEAN Soil Air Water

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Filtration systems based on metallic iron (Fe0 filters) have been successfully used for water treatment over the past two decades. Relevant Fe0 filters expand from subsurface permeable reactive barriers (PRBs) to household filters. Fe0 filters systems are shown efficient for the remediation of biological and chemical contamination. Properly designing a Fe0 filter is finding a long‐term balance between two major interdependent design parameters: (i) Fe0 reactivity, and (ii) filter permeability. Other relevant design parameters include (i) aqueous flow velocity, (ii) bed thickness, and (iii) water chemistry. Water chemistry includes nature and extent of contamination. To date, attempts to design more sustainable Fe0 filters have been mostly pragmatic as: (i) reactive Fe0 has failed to be considered as in situ generator of contaminant collectors (and “secondary” reducing agents), and (ii) the volumetric expansive nature of iron corrosion has been overlooked. On the other hand, valuable design criteria were available in the hydrometallurgical literature (cementation using elemental metals) prior to the advent of Fe0 filters. As a consequence the literature is full of seemingly controversial results which are easily conciliated by the physico–chemistry of the system. The present review is limited at identifying some misconceptions and demonstrating their proliferation. Tools for better analyses are recalled. Recent X‐ray tomography data are used as illustration of how valuable data are insufficiently discussed. It is hoped that the present contribution will boost systematic research for the design of more sustainable Fe0 filters.

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Improved population balance model for straining-dominant deep bed filtration using network calculations

Cited by 36 publications

References 37 publications

Effects of pore size distribution and coordination number on the prediction of filtration coefficients for straining from percolation theory

Effects of pore size distribution and coordination number on the prediction of filtration coefficients for straining from percolation theory

Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media

Designing Metallic Iron Packed‐Beds for Water Treatment: A Critical Review

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