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Control of the movement of aggregates of particles in a viscous fluid by an external uniform alternating field
| Title | Control of the movement of aggregates of particles in a viscous fluid by an external uniform alternating field |
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| Authors | S. I. Martynov1, L. Y. Tkach1 1Yugra State University, Khanty-Mansiysk, Russian Federation |
| Annotation | The mechanism for controlling the dynamics of aggregates of spherical particles in a viscous fluid using an external uniform alternating electric or magnetic field is considered. Aggregates are considered as a system of particles having a charge or dipole moment, and the total charge or dipole moment of the system is zero. Particles in the absence of external influence are in the position of a minimum of the interaction energy. The impact of an external homogeneous alternating field leads to periodic deformations of the aggregate, which form a flow in the surrounding viscous fluid, creating a hydrodynamic force that moves the center of gravity of the aggregate in a certain direction relative to the applied field. The results of numerical modeling of the dynamics of aggregates of three particles are given. The calculations took into account both the forces of hydrodynamic interaction, and the electric or magnetic forces holding the particles in the aggregate, and seeking to return them to their original equilibrium position. |
| Keywords | numerical simulation, viscous fluid, particles, hydrodynamic interaction, interaction energy, external uniform field, self-moving aggregates of particles. |
| Citation | Martynov S. I., Tkach L. Y. ''Control of the movement of aggregates of particles in a viscous fluid by an external uniform alternating field'' [Electronic resource]. Proceedings of the XIV International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 9-12, 2019). Saransk: SVMO Publ, 2019. - pp. 131-136. Available at: https://conf.svmo.ru/files/2019/papers/paper37.pdf. - Date of access: 21.11.2024. |
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