Electrophoresis of a dielectric particle in strong electric field

Authors

  • Frants E.A. Financial University, Krasnodar, Российская Федерация
  • Shelistov V.S. Financial University, Krasnodar, Российская Федерация
  • Ganchenko G.S. Financial University, Krasnodar, Российская Федерация
  • Gorbacheva E.V. Kuban State University, Krasnodar, Российская Федерация
  • Alekseev M.S. Kuban State University, Krasnodar, Российская Федерация
  • Demekhin E.A. Financial University, Krasnodar, Российская Федерация

UDC

532.5.013:532.516:538.5:544.6

DOI:

https://doi.org/10.31429/vestnik-18-4-33-40

Abstract

This paper is devoted to the problem of motion of a dielectric microparticle in a strong electric field. For the case of a low electric field strength, a comparison of the electrophoresis rate obtained from the force balance condition with the classical Helmholtz-Smoluchowski formula showed good agreement.  Direct numerical simulation of the problem in the full uncomplicated formulation for high electric field strength showed that at the interface between the solid particle and the electrolyte a region of spatial charge is formed, which was previously discovered for ion-selective microparticles. In an electric field of sufficiently high intensity, a part of the spatial charge detaches from the surface of the particle, which is swept away by the flow of the advancing liquid. This charge does not disintegrate and is preserved at a distance of several radii from the surface of the microparticle. Thus, there is a violation of the condition of local electroneutrality of the electrolyte solution at a sufficiently large distance from the surface of the microparticle.

Keywords:

electrophoresis, dielectric particle, Nernst-Planck-Poisson-Stokes system, strong electric field, non-equilibrium processes

Acknowledgement

The reported study was funded by RFBR and administration of Krasnodar Territory, project number 19-48-235001.

Author Infos

Elizaveta A. Frants

младший научный сотрудник лаборатории "Электро- и гидродинамика микро- и наномасштабов" Финансового университета при Правительстве РФ

e-mail: eafrants@fa.ru

Vladimir S. Shelistov

канд. физ.-мат. наук, ведущий научный сотрудник лаборатории "Электро- и гидродинамика микро- и наномасштабов" Финансового университета при Правительстве РФ

e-mail: VSShelistov@fa.ru

Georgiy S. Ganchenko

канд. физ.-мат. наук, старший научный сотрудник лаборатории "Электро- и гидродинамика микро- и наномасштабов" Финансового университета при Правительстве РФ

e-mail: ganchenko.ru@gmail.com

Ekaterina V. Gorbacheva

преподаватель кафедры "прикладная математика" Кубанского государственного университета

e-mail: katya1911@list.ru

Maxim S. Alekseev

студент факультета компьютерных технологий и прикладной математики Кубанского государственного университа

e-mail: mrmaxnhbyflwfnm@mail.ru

Eugeniy A. Demekhin

д-р физ.-мат. наук, заведующий лабораторией "Электро- и гидродинамика микро- и наномасштабов" Финансового университета при Правительстве РФ

e-mail: edemekhi@gmail.com

References

  1. Napoli M., Eijkel J.C.T., Pennathur S. Nanofluidic technology for biomolecule applications. Lab Chip, 2010, vol. 10, p. 957.
  2. Chang H.-C., Yossifon G., Demekhin E.A. Nanoscale electrokinetics and microvortices. Annu. Rev. Fluid Mech., 2012, vol. 44, p. 401.
  3. Zabolockij V.I., Nikonenko V.V. Ion transport in membranes. Nauka, Moscow, 1996. (In Russian)
  4. Babeshko V.A., Zabolockij V.I., Kirillova E.V., Urtenov M.H. Decomposition of systems of Nernst-Planck-Poisson equations. Doklady RAN [Rep. of Russian Academy of Sciences], 1995, vol. 344, no. 4, pp. 485–486. (In Russian)
  5. Babeshko V.A., Zabolockij V.I., Seidov P.P., Urtenov M.H. Decomposition equations for stationary electrolyte transfer in the one-dimensional case. Jelektrohimija [Electrochemistry], 1997, vol. 33, no. 8, pp. 855–862. (In Russian)
  6. Urtenov M.H., Kovalenko A.V. Complete decomposition of a one-dimensional system of Nernst-Planck-Poisson equations for a binary electrolyte. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of the Scientific Centers of the Black Sea Economic Cooperation], 2009, no. 2, pp.  32–37. (In Russian)
  7. Smoluchowski M. Contribution to the theory of electro-osmosis and related phenomena. Bull. Int. Acad. Sci. Cracovie, 1903, no. 184, p. 199.
  8. Mishchuk N.A. Concentration polarization of interface and non-linear electrokinetic phenomena. Advances in Colloid and Interface Science, 2010, vol. 160, pp. 16–39.
  9. Delgado A.V. (ed.) Interfacial Electrokinetics and Electrophoresis. CRC Press, 2002.
  10. Schnitzer O., Yariv E. Macroscale description of electrokinetic flows at large zeta potentials: Non-linear surface conduction. Physical Review E, 2012, vol. 86, iss. 2, p. 021503.
  11. Schnitzer O., Zeyde R., Yavneh I., Yariv E. Weakly non-linear electrophoresis of a highly charged colloidal particle. Physics of Fluids, 2013, vol. 25, iss. 5, p. 052004.
  12. Schnitzer O., Yariv E. Non-linear electrophoresis at arbitrary field strengths: small-Dukhin-number analysis. Physics of Fluids, 2014, vol. 26, iss. 12, p. 122002.
  13. Tottori S., Misiunas K., Keyser U.F. Non-linear Electrophoresis of Highly Charged Nonpolarizable Particles. Physical Review Letters, 2019, vol. 123, iss. 1, p. 014502.
  14. Demekhin E., Korovyakovskiy A., Shelistov V. Nonlinear electrophoresis in a strong electric field. International Journal of Heat and Technology, 2010, vol. 28, no. 1.
  15. Ganchenko G., Frants E., Shelistov V., Nikitin N., Amiroudine S., Demekhin E. Extreme nonequilibrium electrophoresis of an ion-selective microgranule. Physical Review Fluids, 2019, vol. 4, iss. 4, p. 043703.

Issue

Section

Physics

Pages

33-40

Submitted

2021-10-10

Published

2022-01-10

How to Cite

Frants E.A., Shelistov V.S., Ganchenko G.S., Gorbacheva E.V., Alekseev M.S., Demekhin E.A. Electrophoresis of a dielectric particle in strong electric field. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 4, pp. 33-40. DOI: https://doi.org/10.31429/vestnik-18-4-33-40 (In Russian)