1. NUMERICAL STUDY OF FERROFLUID COVERING OF A CURRENT-CARRYING CONDUCTOR TAKING INTO ACCOUNT DIFFUSION OF INTERACTING PARTICLES.
- Author
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Lavrova, O. and Polevikov, V.
- Subjects
- *
MAGNETIC fluids , *MAGNETIC nanoparticles , *FINITE differences , *MATHEMATICAL models , *COMPUTER simulation - Abstract
A ferrofluid drop located on a horizontal plane and covering a vertical current-carrying conductor under the action of a magnetic field generated by the conductor and gravity is considered. The numerical study is based on a mathematical model of equilibrium states, consisting of equations for the free-surface shape of the ferrofluid drop and equations for the concentration of interacting magnetic nanoparticles inside the ferrofluid. The computational algorithm is organized as an iterative coupling between the finite-difference approximation of the free-surface and the Newton's method for the concentration equations formulated on an a-posteriori adaptive mesh, representing the discrete free-surface. Numerical results predict that the interactions between magnetic nanoparticles have little effect on the equilibrium free-surface shapes in weak magnetic fields but lead to a stronger shape elongation in moderate magnetic fields when compared to simulations with diffusion of non-interacting particles. Simulations have shown a sharp transition from drop-like shapes to sheath-like coverage of the conductor for a ferrofluid drop of large volume at different contact angles. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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