Understanding electrokinetic thermodynamics in nanochannels

doi:10.1016/j.cjche.2020.09.041

中国化学工程学报 ›› 2021, Vol. 29 ›› Issue (3): 33-41.DOI: 10.1016/j.cjche.2020.09.041

• Special Issue on Frontiers of Chemical Engineering Thermodynamics • 上一篇下一篇

Understanding electrokinetic thermodynamics in nanochannels

Jianglong Du¹, Haolan Tao¹, Jie Yang¹, Cheng Lian^1,2, Sen Lin³, Honglai Liu¹

1 State Key Laboratory of Chemical Engineering, Shanghai Engineering Research Center of Hierarchical Nanomaterials, and School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China;
2 Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, the Netherlands;
3 National Engineering Research Center for Integrated Utilization of Salt Lake Resources, and State Environmental Protection Key Laboratory of Environmental Risk Assessment and Control on Chemical Process, East China University of Science and Technology, Shanghai 200237, China

收稿日期:2020-08-21 修回日期:2020-09-25 出版日期:2021-03-28 发布日期:2021-05-13
通讯作者: Cheng Lian, Sen Lin, Honglai Liu
基金资助:
This work was sponsored by the National Natural Science Foundation of China (No. 91834301, 21808055 and 22078088), the Shanghai Sailing Program (18YF1405400).

Understanding electrokinetic thermodynamics in nanochannels

Jianglong Du¹, Haolan Tao¹, Jie Yang¹, Cheng Lian^1,2, Sen Lin³, Honglai Liu¹

1 State Key Laboratory of Chemical Engineering, Shanghai Engineering Research Center of Hierarchical Nanomaterials, and School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China;
2 Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, the Netherlands;
3 National Engineering Research Center for Integrated Utilization of Salt Lake Resources, and State Environmental Protection Key Laboratory of Environmental Risk Assessment and Control on Chemical Process, East China University of Science and Technology, Shanghai 200237, China

Received:2020-08-21 Revised:2020-09-25 Online:2021-03-28 Published:2021-05-13
Contact: Cheng Lian, Sen Lin, Honglai Liu
Supported by:
This work was sponsored by the National Natural Science Foundation of China (No. 91834301, 21808055 and 22078088), the Shanghai Sailing Program (18YF1405400).

摘要/Abstract

摘要： Understanding the electrokinetic conversion efficiency in a nanochannel is vital for designing energy storage and conversion devices. In this paper, an analytical electrokinetic energy conversion efficiency in a nanochannel is obtained based on the linear electrokinetic response. The analytical result shows that the conversion efficiency has a maximum with the increasing of the nanochannel pore radius. Numerical solutions based on the Poisson-Nernst-Planck (PNP) and Navier-Stokes (NS) equations are used to confirm the analytical expressions. Besides, the influences of the pore radius and surface roughness on the conversion efficiency in nanochannels are also studied by the numerical calculations. In particular, the influences of the surface roughness on the fluid flow, streaming current and streaming potential are examined. The results show that the large bumps and grooves representing the roughness can hinder the fluid flows and ion transports in the nanochannels. The maximum efficiency in a smooth nanochannel is higher than that in a rough channel. However, the small bumps and grooves can increase the surface area of the channel, which is beneficial to improving the conversion efficiency in some cases. This research can provide theoretical guidance to design electrokinetic energy conversion devices.

关键词: Electrokinetic conversion efficiency, Linear electrokinetics, Nanostructure, Dynamic simulation, Thermodynamics

Abstract: Understanding the electrokinetic conversion efficiency in a nanochannel is vital for designing energy storage and conversion devices. In this paper, an analytical electrokinetic energy conversion efficiency in a nanochannel is obtained based on the linear electrokinetic response. The analytical result shows that the conversion efficiency has a maximum with the increasing of the nanochannel pore radius. Numerical solutions based on the Poisson-Nernst-Planck (PNP) and Navier-Stokes (NS) equations are used to confirm the analytical expressions. Besides, the influences of the pore radius and surface roughness on the conversion efficiency in nanochannels are also studied by the numerical calculations. In particular, the influences of the surface roughness on the fluid flow, streaming current and streaming potential are examined. The results show that the large bumps and grooves representing the roughness can hinder the fluid flows and ion transports in the nanochannels. The maximum efficiency in a smooth nanochannel is higher than that in a rough channel. However, the small bumps and grooves can increase the surface area of the channel, which is beneficial to improving the conversion efficiency in some cases. This research can provide theoretical guidance to design electrokinetic energy conversion devices.

Key words: Electrokinetic conversion efficiency, Linear electrokinetics, Nanostructure, Dynamic simulation, Thermodynamics

Jianglong Du, Haolan Tao, Jie Yang, Cheng Lian, Sen Lin, Honglai Liu. Understanding electrokinetic thermodynamics in nanochannels[J]. 中国化学工程学报, 2021, 29(3): 33-41.

Jianglong Du, Haolan Tao, Jie Yang, Cheng Lian, Sen Lin, Honglai Liu. Understanding electrokinetic thermodynamics in nanochannels[J]. Chinese Journal of Chemical Engineering, 2021, 29(3): 33-41.

参考文献

[1] F.H. van der Heyden, D. Stein, C. Dekker, Streaming currents in a single nanofluidic channel, Phys. Rev. Lett. 95 (2005) 116104.
[2] D.K. Kim, C.H. Duan, Y.F. Chen, A. Majumdar, Power generation from concentration gradient by reverse electrodialysis in ion-selective nanochannels, Microfluid. Nanofluid. 9 (2010) 1215-1224.
[3] C. Lian, H.L. Liu, C.Z. Li, J.Z. Wu, Hunting ionic liquids with large electrochemical potential windows, AIChE J. 65 (2019) 804-810.
[4] S. Liu, Q. Pu, L. Gao, C. Korzeniewski, C. Matzke, From nanochannel-induced proton conduction enhancement to a nanochannel-based fuel cell, Nano Lett. 5 (2005) 1389-1393.
[5] S.J. Kim, S.H. Ko, K.H. Kang, J. Han, Direct seawater desalination by ion concentration polarization, Nat. Nanotechnol. 8 (2013) (2010) 609.
[6] C.C. Lai, C.J. Chang, Y.S. Huang, W.C. Chang, F.G. Tseng, Y.L. Chueh, Desalination of saline water by nanochannel arrays through manipulation of electrical double layer, Nano Energy 12 (2015) 394-400.
[7] Y.C. Wang, A.L. Stevens, J. Han, Million-fold preconcentration of proteins and peptides by nanofluidic filter, Anal. Chem. 77 (2005) 4293-4299.
[8] K.D. Huang, R.J. Yang, A nanochannel-based concentrator utilizing the concentration polarization effect, Electrophoresis 29 (2010) 4862-4870.
[9] J. Yang, F.Z. Lu, L.W. Kostiuk, D.Y. Kwok, Electrokinetic microchannel battery by means of electrokinetic and microfluidic phenomena, J. Micromech. Microeng. 13 (2003) 963-970.
[10] W. Olthuis, B. Schippers, J. Eijkel, A. van den Berg, Energy from streaming current and potential, Sensor. Actuat. B-Chem. 111 (2005) 385-389.
[11] M.S. Chun, T.S. Lee, N.W. Choi, Microfluidic analysis of electrokinetic streaming potential induced by microflows of monovalent electrolyte solution, J. Micromech. Microeng. 15 (2005) 710-719.
[12] H. Daiguji, P.D. Yang, A.J. Szeri, A. Majumdar, Electrochemomechanical energy conversion in nanofluidic channels, Nano Lett. 4 (2004) 2315-2321.
[13] A. Mansouri, S. Bhattacharjee, L. Kostiuk, High-power electrokinetic energy conversion in a glass microchannel array, Lab. Chip. 12 (2012) 4033-4036.
[14] M.C. Lu, S. Satyanarayana, R. Karnik, A. Majumdar, C.C. Wang, A mechanicalelectrokinetic battery using a nano-porous membrane, J. Micromech. Microeng. 16 (2006) 667-675.
[15] W. Sparreboom, A. van den Berg, J.C. Eijkel, Principles and applications of nanofluidic transport, Nat. Nanotechnol. 4 (2009) 713-720.
[16] C. Davidson, X.C. Xuan, Electrokinetic energy conversion in slip nanochannels, J. Power Sources 179 (2008) 297-300.
[17] D. Erickson, D. Li, Streaming Potential and Streaming Current Methods for Characterizing Heterogeneous Solid Surfaces, J. Colloid Interf. Sci. 237 (2001) 283-289.
[18] F.H. van der Heyden, D.J. Bonthuis, D. Stein, C. Meyer, C. Dekker, Electrokinetic energy conversion efficiency in nanofluidic channels, Nano Lett. 6 (2006) 2232-2237.
[19] A. Mansouri, L. Kostiuk, Publisher correction: maximizing electrokinetic energy conversion via the intersecting asymptotes method, Sci. Rep. 9 (2019) 6187.
[20] R. Qiao, N.R. Aluru, Charge inversion and flow reversal in a nanochannel electro-osmotic flow, Phys. Rev. Lett. 92 (2004) 198301.
[21] R.S. Foote, J. Khandurina, S.C. Jacobson, J.M. Ramsey, Preconcentration of proteins on microfluidic devices using porous silica membranes, Anal. Chem. 77 (2005) 57-63.
[22] D. Stein, M. Kruithof, C. Dekker, Surface-charge-governed ion transport in nanofluidic channels, Phys. Rev. Lett. 93 (2004) 035901.
[23] B. Lin, H. Li, H. An, W.B. Hao, J.J. Wei, Y.Z. Dai, C.S. Ma, G.D. Yang, Preparation of 2D/2D g-C₃N₄ nanosheet@ZnIn₂S₄ nanoleaf heterojunctions with welldesigned high-speed charge transfer nanochannels towards high efficiency photocatalytic hydrogen evolution, Appl. Catal. B: Environ. 220 (2018) 542-552.
[24] W. Chen, Z.Q. Wu, X.H. Xia, J.J. Xu, H.Y. Chen, Anomalous diffusion of electrically neutral molecules in charged nanochannels, Angew. Chem. Int. Edit. 49 (2010) 7943-7947.
[25] J.K. Chen, W.T. Chen, C.C. Cheng, C.C. Yu, J.P. Chu, Metallic glass nanotube arrays: Preparation and surface characterizations, Mater. Today 21 (2018) 178-185.
[26] J. Zhu, A. Imam, R. Crane, K. Lozano, V.N. Khabashesku, E.V. Barrera, Processing a glass fiber reinforced vinyl ester composite with nanotube enhancement of interlaminar shear strength, Compos. Sci. Technol. 67 (2007) 1509-1517.
[27] J.P. Hsu, Y.M. Chen, C.Y. Lin, S. Tseng, Electrokinetic ion transport in an asymmetric double-gated nanochannel with a pH-tunable zwitterionic surface, Phys. Chem. Chem. Phys. 21 (2019) 7773-7780.
[28] S.J. Kim, Y.A. Song, J. Han, Nanofluidic concentration devices for biomolecules utilizing ion concentration polarization: theory, fabrication, and applications, Chem. Soc. Rev. 39 (2010) 912-922.
[29] C. Lian, H. Su, C. Li, H. Liu, J. Wu, Non-negligible roles of pore size distribution on electroosmotic flow in nanoporous materials, ACS Nano 13 (2019) 8185-8192.
[30] C. Lian, M. Janssen, H. Liu, R. van Roij, Blessing and curse: How a supercapacitor’s large capacitance causes its slow charging, Phys. Rev. Lett. 124 (2020) 076001.
[31] R.J. Messinger, T.M. Squires, Suppression of electro-osmotic flow by surface roughness, Phys. Rev. Lett. 105 (2010) 144503.
[32] D. Kim, E. Darve, Molecular dynamics simulation of electro-osmotic flows in rough wall nanochannels, Phys. Rev. E 73 (2006) 12.
[33] N.V. Priezjev, Effect of surface roughness on rate-dependent slip in simple fluids, J. Chem. Phys. 127 (2007) 144708.
[34] E. Brunet, A. Ajdari, Generalized Onsager relations for electrokinetic effects in anisotropic and heterogeneous geometries, Phys. Rev. E 69 (2004) 016306.
[35] R.J. Hunter, Zeta Potential in Colloid Science, Academic Press, 1981.
[36] Y. Zhang, Y. He, M. Tsutsui, X.S. Miao, M. Taniguchi, Short channel effects on electrokinetic energy conversion in solid-state nanopores, Sci. Rep. 7 (2017) 46661.
[37] J. Catalano, H.V. Hamelers, A. Bentien, P.M. Biesheuvel, Revisiting Morrison and Osterle 1965: the efficiency of membrane-based electrokinetic energy conversion, J. Phys. Condens Mat. 28 (2016) 324001.
[38] S. Haldrup, J. Catalano, M.R. Hansen, M. Wagner, G.V. Jensen, J.S. Pedersen, A. Bentien, High electrokinetic energy conversion efficiency in charged nanoporous nitrocellulose/sulfonated polystyrene membranes, Nano Lett. 15 (2015) 1158-1165.
[39] C.C. Chang, R.J. Yang, Electrokinetic energy conversion in micrometer-length nanofluidic channels, Microfluid. Nanofluid. 9 (2010) 225-241.
[40] X.C. Xuan, D.Q. Li, Thermodynamic analysis of electrokinetic energy conversion, J. Power Sources 156 (2006) 677-684.
[41] M. Malekidelarestaqi, A. Mansouri, S.F. Chini, Electrokinetic energy conversion in a finite length superhydrophobic microchannel, Chem. Phys. Lett. 703 (2018) 72-79.
[42] G.K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, 1967.
[43] D. van Weersel, Numerical Analysis of Electrokinetic Flow through a Cylindrical Channel with a Charge Regulation Boundary Condition, Thesis, Utrecht University, The Kingdom of the Netherlands, 2016.
[44] D.-E. Jiang, Z. Jin, J. Wu, Oscillation of capacitance inside nanopores, Nano Lett. 11 (2011) 5373-5377.
[45] G. Feng, D.-E. Jiang, P.T. Cummings, Curvature effect on the capacitance of electric double layers at ionic liquid/onion-like carbon interfaces, J. Chem. Theory Comput. 8 (2012) 1058-1063.
[46] C. Lian, D.-E. Jiang, H. Liu, J. Wu, A generic model for electric double layers in porous electrodes, J. Phys. Chem. C 120 (2016) 8704-8710.
[47] T. Mo, S. Bi, Y. Zhang, V. Presser, X. Wang, Y. Gogotsi, G. Feng, Ion structure transition enhances charging dynamics in subnanometer pores, ACS Nano 14 (2020) 2395-2403.
[48] D.G. Haywood, Z.D. Harms, S.C. Jacobson, Electroosmotic flow in nanofluidic channels, Anal. Chem. 86 (2014) 11174-11180.

Understanding electrokinetic thermodynamics in nanochannels

Understanding electrokinetic thermodynamics in nanochannels

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