RUS  ENG
Full version
JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2020 Volume 32, Number 12, Pages 81–94 (Mi mm4245)

This article is cited in 2 papers

Model of hydrodynamic mechanism of movement of nanomotors

S. I. Martynov, L. Yu. Tkach

Surgut State University

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.

Received: 23.03.2020
Revised: 28.08.2020
Accepted: 21.09.2020

DOI: 10.20948/mm-2020-12-07


 English version:
Mathematical Models and Computer Simulations, 2021, 13:4, 684–691


© Steklov Math. Inst. of RAS, 2024