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Electrophoretic motion of a porous polyelectrolyte microcapsule

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Abstract

This paper investigates the problem of electrophoretic motion of a polyelectrolyte capsule with a porous arbitrary charged conducting shell in an electrolyte (of the same type as the one inside the capsule’s cavity) under the action of an external electric field. The corresponding boundary value problem for the velocity components and pressure in the case of small electrical potentials is analytically solved in quadratures. The solution is analyzed numerically for different values of the specific permeability of the capsule, and the thickness of the porous and the electric double layers. The minimum of electrophoretic velocity dependence on the inverse permeability of the porous layer has been found. It is shown that the electrophoretic mobility decreases upon decrease in the conductivity of the material constituting the porous layer. This means that a dielectric capsule can be used for electrophoresis as well. Moreover, its velocity will be even greater than that of a conducting capsule, all other conditions being equal.

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Acknowledgements

We dedicate this work to the memory of Professor Vyacheslav Roldughin, an outstanding physicochemist and our dear colleague who began working on the problem tackled in this paper about 8 years ago but passed away prematurely. This work was supported by the Russian Science Foundation (Project No. 20-19-00670).

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Authors and Affiliations

  1. Gubkin University, 65-1 Leninsky Prospect, Moscow, Russia, 119991

    Anatoly N. Filippov & Daria Yu. Khanukaeva

  2. DECO-Geophysical Software Company, 1-77 Leninskiye Gory, Moscow, Russia, 119992

    Petr A. Aleksandrov

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  1. Anatoly N. Filippov
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Correspondence to Anatoly N. Filippov.

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ANF was involved in conceptualization, methodology, supervision, funding acquisition, writing—review and editing. DYK helped in methodology, formal analyses, validation, software, data curation, writing—original draft. PAA contributed to methodology, software, data curation.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Filippov, A.N., Khanukaeva, D.Y. & Aleksandrov, P.A. Electrophoretic motion of a porous polyelectrolyte microcapsule. Theor. Comput. Fluid Dyn. 36, 465–490 (2022). https://doi.org/10.1007/s00162-022-00607-0

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