Segregation of particles in a magnetic fluid under the combined effect of magnetic and gravitational fields
DOI:
https://doi.org/10.17072/1994-3598-2018-1-5-16Abstract
Transient problem of magnetic nanoparticles segregation under gravity and direct magnetic field action was solved by the method of control volumes. It was shown, that during the transition of the system from initial uniform state to the inhomogeneous stationary one, the long-live finger-like structures with a continuously increasing wave number are formed. To limit it, an additional Kahn-Hillard term was introduced into the magnetodiffusion equation. The appearance of finger-like structures is explained by the competition between gravitational and magnetostatic forces in a thin diffusion layer between regions with a low and high concentration of particles. The observed phenomenon is a diffusion analogue of the Rosenzweig instability of the free boundary of a magnetic fluid in a vertically directed magnetic field.References
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