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Analytic theory of nonlinearly coupled electrokinetics in nanochannels
- Source :
- Phys. Fluids 34, 122012 (2022)
- Publication Year :
- 2023
-
Abstract
- The nonlinear electrokinetic response of ionic solutions is important in nanofluidics. However, quantitatively understanding the mechanisms is still a challenging problem because of a lack of analytic approaches. Here, a general framework for calculating the nonlinear electrokinetic coefficients of strongly confined electrolytes is constructed using a perturbation scheme of the pressure and voltage differences across a nanochannel. The theory is applied to an electrically neutral nanochannel filled with electrolytes, and analytic expressions for the first- and third-order electrokinetic coefficients are obtained. We demonstrate that the combination of high hydrodynamic permeability and ion-wall friction plays an essential role in nonlinear electrokinetics. Furthermore, we analytically demonstrate that the external flow induces uniform excess charge inside the nanochannel.<br />Comment: 9 pages, 4pages for SI, accepted version
Details
- Database :
- arXiv
- Journal :
- Phys. Fluids 34, 122012 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2305.15714
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/5.0131481