On electro‐osmosis and streaming‐potentials in diaphragms

Overbeek, J. Th. G.; Wijga, P. W. O.

doi:10.1002/recl.19460650802

Cited by 53 publications

(6 citation statements)

References 2 publications

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“…In 1892 Saxén demonstrated the equivalence between electroosmosis and streaming potential [19], showing χ 12 = χ 21 experimentally. This work was followed by contributions [20,21] examining the equivalence between porous diaphragms and networks of capillaries. More contemporary work by Gross and Osterle [22] discusses coupling relationships in capillary flow, contributing general integral expressions for pressure, electrical, and chemical potential gradients driving fluxes of volume, current, and mass; with attention to electrodialysis and energy conversion.…”

Section: Q/a I/amentioning

confidence: 99%

Force and flux relations for flows of ionic solutions between parallel plates with porous and charged layers

Barbati

Kirby

2013

Phys. Rev. E

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We derive coefficients of the electrokinetic coupling matrix (χ(11), χ(12), and χ(21)) for the flow of an ionic solution through a parallel-plate geometry having porous and charged layers grafted onto a solid surface with a known potential and demonstrate Onsager reciprocity for the cross terms (i.e., χ(12)=χ(21)). Our results enable the prediction of system outputs in the solid-porous-fluid system from parameters that are either known or may be measured and inferred. These electrokinetic coupling coefficients are in terms of the potential, ϕ, and fixed charge, ρ(f), only, removing dependence on field gradients and fluid velocity. Additionally, we present simplified expressions of these coupling coefficients in limiting regions of the parameter space. Away from these limits, we present numerical results demonstrating the facility of our functional form for facile numerical approximation and report the utility and accuracy of our analytical approximations.

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Section: Q/a I/amentioning

confidence: 99%

Force and flux relations for flows of ionic solutions between parallel plates with porous and charged layers

Barbati

Kirby

2013

Phys. Rev. E

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“…(13). This relationship, proposed by von Smoluchowski (1921b), was modified by Overbeek and Wijga (1946); Overbeek (1952) for packed column. They considered:…”

Section: Macroscopic Approachmentioning

confidence: 99%

Modelling electro-osmotic flow in porous media: a review

Fraia

Massarotti

Nithiarasu

2018

HFF

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Purpose This paper aims to provide a comprehensive literature review on modelling electro-osmotic flow in porous media. Design/methodology/approach Modelling electro-osmosis in fluid systems without solid particles has been first introduced. Then, after a brief description of the existing approaches for porous media modelling, electro-osmotic flow in porous media has been considered by analysing the main contributions to the development of this topic. Findings The analysis of literature has highlighted the absence of a universal model to analyse electro-osmosis in porous media, whereas many different methods and assumptions are used. Originality/value For the first time, the existing approaches for modelling electro-osmotic flow in porous have been collected and analysed to provide detailed indications for future works concerning this topic.

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“…One of the well-known categories of electrokinetic transport is EOF. EOF, which can be employed as a pump to drive water from one side to the other side of an electrically charged medium, has been extensively used and studied [1][2][3][4][5][6][7][8][9][10][11]. The key role in this pumping phenomenon is played by the electrically charged solid-liquid interface, the so-called electrical double layer (EDL).…”

Section: Introductionmentioning

confidence: 99%

Electroosmotic flow: From microfluidics to nanofluidics

et al. 2021

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Electroosmotic flow (EOF), a consequence of an imposed electric field onto an electrolyte solution in the tangential direction of a charged surface, has emerged as an important phenomenon in electrokinetic transport at the micro/nanoscale. Because of their ability to efficiently pump liquids in miniaturized systems without incorporating any mechanical parts, electroosmotic methods for fluid pumping have been adopted in versatile applications—from biotechnology to environmental science. To understand the electrokinetic pumping mechanism, it is crucial to identify the role of an ionically polarized layer, the so‐called electrical double layer (EDL), which forms in the vicinity of a charged solid–liquid interface, as well as the characteristic length scale of the conducting media. Therefore, in this tutorial review, we summarize the development of electrical double layer models from a historical point of view to elucidate the interplay and configuration of water molecules and ions in the vicinity of a solid–liquid interface. Moreover, we discuss the physicochemical phenomena owing to the interaction of electrical double layer when the characteristic length of the conducting media is decreased from the microscale to the nanoscale. Finally, we highlight the pioneering studies and the most recent works on electro osmotic flow devoted to both theoretical and experimental aspects.

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On electro‐osmosis and streaming‐potentials in diaphragms

Cited by 53 publications

References 2 publications

Force and flux relations for flows of ionic solutions between parallel plates with porous and charged layers

Force and flux relations for flows of ionic solutions between parallel plates with porous and charged layers

Modelling electro-osmotic flow in porous media: a review

Electroosmotic flow: From microfluidics to nanofluidics

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