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Matematicheskoe modelirovanie, 2020, Volume 32, Number 12, Pages 81–94
DOI: https://doi.org/10.20948/mm-2020-12-07
(Mi mm4245)
 

This article is cited in 2 scientific papers (total in 2 papers)

Model of hydrodynamic mechanism of movement of nanomotors

S. I. Martynov, L. Yu. Tkach

Surgut State University
Full-text PDF (313 kB) Citations (2)
References:
Abstract: Based on experiments on the movement of a Pt / Au bimetallic rod in a hydrogen peroxide solution, a model of the hydrodynamic mechanism of such motion is proposed. The proposed model is based on the equations of hydrodynamics of a viscous fluid and the dynamics of particles and takes into account the hydrodynamic interaction of all charged particles in the fluid between itself and the rod. The core and the charge induced by the reaction is modeled as a dipole aggregate, and ions as a cloud of small charged particles in the surrounding viscous liquid. Numerical modeling and visualization of calculations was carried out using a specially developed software package. The numerical calculations confirmed the ability of the dipole aggregate to move as a result of the hydrodynamic force created by the generated flow of the surrounding fluid in all cases considered for the distribution of small particles and their total charge. A qualitative agreement is obtained between the model values of the velocity and potential of the dipole with the experimental ones.
Keywords: numerical simulation, viscous fluid, hydrodynamic interaction, dipole aggregate, charged particles.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-860002_р_а
Received: 23.03.2020
Revised: 28.08.2020
Accepted: 21.09.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 4, Pages 684–691
DOI: https://doi.org/10.1134/S2070048221040153
Document Type: Article
Language: Russian
Citation: S. I. Martynov, L. Yu. Tkach, “Model of hydrodynamic mechanism of movement of nanomotors”, Matem. Mod., 32:12 (2020), 81–94; Math. Models Comput. Simul., 13:4 (2021), 684–691
Citation in format AMSBIB
\Bibitem{MarTka20}
\by S.~I.~Martynov, L.~Yu.~Tkach
\paper Model of hydrodynamic mechanism of movement of nanomotors
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 12
\pages 81--94
\mathnet{http://mi.mathnet.ru/mm4245}
\crossref{https://doi.org/10.20948/mm-2020-12-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 684--691
\crossref{https://doi.org/10.1134/S2070048221040153}
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  • https://www.mathnet.ru/eng/mm4245
  • https://www.mathnet.ru/eng/mm/v32/i12/p81
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:305
    Full-text PDF :35
    References:24
    First page:8
     
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