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Electro-osmotic properties of porous permeable films

Elena F. Silkina1, Naren Bag2, and Olga I. Vinogradova1,2,*

  • 1Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31 Leninsky Prospect, 119071 Moscow, Russia
  • 2DWI–Leibniz Institute for Interactive Materials, Forckenbeckstr. 50, 52056 Aachen, Germany

  • *Corresponding author: oivinograd@yahoo.com
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Phys. Rev. Fluids 5, 123701 – Published 1 December, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.123701

Abstract

Permeable porous coatings on a flat solid support significantly impact its electrostatic and electrokinetic properties. Existing work has employed the mean-field Poisson-Boltzmann theory by focusing on simplified cases, such as weakly charged and/or thick porous films compared to the extension of an electrostatic diffuse layer. In this paper, we obtain a closed-form analytical solution for electrostatic potential profiles by lifting the assumptions of both a small volume charge density and a thick film. Our analysis provides a framework for interpreting and predicting superproperties specific to porous films of an arbitrary thickness, from an enhanced ion absorption to a consequent amplification of electro-osmotic flows due to emergence of slip velocity at an interface with an outer electrolyte leading to a large zeta potential. The latter can be tuned by varying the amount of added salt and remains finite at even high concentrations. Our theory is valid for systems obeying the nonlinear Poisson-Boltzmann equation and the results are relevant for hydrogel coatings, porous carbon and silica, polyelectrolyte brushes, and more.

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Outline

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Phys. Rev. Fluids 5, 123701– Published 1 December, 2020
  • Received 13 March 2020
  • Revised 26 June 2020
  • Accepted 9 November 2020
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