Osmotic Flow through Fully Permeable Nanochannels

Lee, Choongyeop; Cottin-Bizonne, Cécile; Biance, Anne‐Laure; Joseph, Pierre; Bocquet, Lydéric; Ybert, Christophe

doi:10.1103/physrevlett.112.244501

Cited by 101 publications

(118 citation statements)

References 25 publications

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“…A straightforward example is of course a purely di usive (i.e. linear) pro le, although one should keep in mind that this is not necessarily accurate because the pro le can be in uenced by an advective uid ow or an electric eld [35]. e density prole in a nite channel is, however, also a ected by entrance e ects.…”

Section: B Entrance E Ectsmentioning

confidence: 99%

Coupled water, charge and salt transport in heterogeneous nano-fluidic systems

Werkhoven

Roij

2020

Soft Matter

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We theoretically study the electrokinetic transport properties of nano-uidic devices under the in uence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quanti ed by the Onsager matrix L, a generalised conductivity matrix relating the local driving forces and the induced volume, charge and salt ux. Extending L from a local to a global linear-response relation is trivial for homogeneous electrokinetic systems, but in this manuscript we derive a generalised conductivity matrix G from L that applies also to heterogeneous electrokinetic systems. is extension is especially important in the case of an imposed salinity gradient, which gives necessarily rise to heterogeneous devices. Within this formalism we can also incorporate a heterogeneous surface charge due to, for instance, a charge regulating boundary condition, which we show to have a signi cant impact on the resulting uxes. e predictions of the Poisson-Nernst-Planck-Stokes theory show good agreement with exact solutions of the governing equations determined using the Finite Element Method under a wide variety of parameters. Having established the validity of the theory, it provides an accessible method to analyse electrokinetic systems in general without the need of extensive numerical methods. As an example, we analyse a Reverse Electrodialysis "blue energy" system, and analyse how the many parameters that characterise such a system a ect the generated electrical power and e ciency. arXiv:1911.13156v1 [cond-mat.soft]

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Section: B Entrance E Ectsmentioning

confidence: 99%

Coupled water, charge and salt transport in heterogeneous nano-fluidic systems

Werkhoven

Roij

2020

Soft Matter

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“…To semi‐quantitatively describe the alkali distribution c ( x ) within the asymmetric pore, a diffusion–convection model is suggested. Since the etching process at room temperature is slow, we can use the stationary diffusion–convection equation valid for a certain instant of time

- \frac{Q}{S_{normalp} (x)} \frac{d c}{d x} = D \frac{{normald}^{2} c}{d x^{2}}

where S p ( x ) is the cross‐sectional area of the pore; x is the distance along the pore axis, and points x = 0 and x = L are located at the opposite sides of the foil; and D is the diffusivity of sodium hydroxide. For simplicity, we assume that the concentration is uniform in each cross‐section of the pore and that the diffusion coefficient does not depend on concentration.…”

Section: Resultsmentioning

confidence: 99%

Osmotic Effects in Track‐Etched Nanopores

Apel

Blonskaya

Лизунов

et al. 2018

Small

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Asymmetrically etched ion-track membranes attract great interest for both fundamental and technical reasons because of a large variety of applications. So far, conductometric measurements during track etching provide only limited information about the complicated asymmetric etching process. In this paper, monitoring of osmotic phenomena is used to elucidate the initial phase of nanopore formation. It is shown that strong alkaline solutions generate a considerable osmotic flow of water through newborn conical pores. The interplay between diffusion and convection in the pore channel results in a substantially nonlinear alkali concentration gradient and a rapid change in the pore geometry after breakthrough. Similar phenomena are observed in experiments with cylindrical track-etched pores of 15-30 nm in radius. A theoretical description of the diffusion-convection processes in the pores is provided.

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“…is is reminiscent of a convection-di usion problem [36] with a linear/exponential density pro le for di usion/convection dominated systems. In our case, the role of convection in the Stern layer is played by conduction, but we will analogously nd a linear/exponential in the di usion/conduction limited regime.…”

Section: The (Linearised) Poisson-nernst-planck Equationsmentioning

confidence: 99%

Dynamic Stern layers in charge-regulating electrokinetic systems: three regimes from an analytical approach

Werkhoven

Samin

Roij

2019

Eur. Phys. J. Spec. Top.

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We present analytical solutions for the electrokinetics at a charged surface with both non-zero Sternlayer conductance and nite chemical reaction rates. We have recently studied the same system numerically [Werkhoven et al., Phys. Rev. Le . 120, 264502 (2018)], and have shown that an applied pressure drop across the surface leads to a non-trivial, laterally heterogeneous surface charge distribution at steady state. In this work, we linearise the governing electrokinetic equations to nd closed expressions for the surface charge pro le and the generated streaming electric eld. e main results of our calculations are the identi cation of three important length and time scales that govern the charge distribution, and consequently the classi cation of electrokinetic systems into three distinct regimes. e three governing time scales can be associated to (i) the chemical reaction, (ii) di usion in the Stern layer, and (iii) conduction in the Stern layer, where the dominating (smallest) time scale characterises the regime. In the reaction-dominated regime we nd a constant surface charge with an edge e ect, and recover the Helmholtz-Smoluchowski equation. In the other two regimes, we nd that the surface charge heterogeneity extends over the entire surface, either linearly (di usion-dominated regime) or nonlinearly (conduction-dominated regime). arXiv:1809.03287v1 [cond-mat.soft]

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Osmotic Flow through Fully Permeable Nanochannels

Cited by 101 publications

References 25 publications

Coupled water, charge and salt transport in heterogeneous nano-fluidic systems

Coupled water, charge and salt transport in heterogeneous nano-fluidic systems

Osmotic Effects in Track‐Etched Nanopores

Dynamic Stern layers in charge-regulating electrokinetic systems: three regimes from an analytical approach

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