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Magnetophoretic Equilibrium of a Polydisperse Ferrofluid
Andrey A Kuznetsov1, Ivan A Podlesnykh2
1Institute of Natural Sciences and Mathematics, Ural Federal University, 620000 Ekaterinburg, Russia.
Abstract:
The equilibrium concentration distribution of magnetic nanoparticles in a nonuniform magnetic field is studied theoretically. A linear current-carrying wire is used as a source of a nonuniform field. An exact solution for the concentration profile of a dilute monodisperse suspension is obtained within the framework of the continuous mass transfer theory. The applicability of this solution in a broad range of amperage values is tested using Langevin dynamics simulations. Obtained solution is also generalized for polydisperse suspensions. It is demonstrated that the particle size distribution in a polydisperse system strongly depends on the distance from the wire and in general does not coincide with the original distribution of a uniform suspension.
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