Closed-circuit magnetic separation of nanoparticles on a packed bed of spheres
Résumé
In this work, we consider magnetic separation of iron oxide nanoparticles when a nanoparticle
suspension (diluted ferrofluid) passes through a closed-circuit filter composed of a packed bed of microspheres
magnetized by an externally applied magnetic field. Recent studies on isolated magnetic collectors have shown that
the capture of nanoparticles of a size as small as 50 nm is still very efficient if the magnetic interactions between them
is sufficiently strong to induce a phase separation in the nanoparticle suspension [Magnet et al. (2012, 2014)]. In the
present case of the packed bed of magnetizable spheres, such phase separation (manifesting by appearance of droplike
aggregates of nanoparticles) is easily achieved at magnetic fields as low as 15 kA/m. We show that the key
parameter governing the capture of magnetic nanopartilces in the present system is the Mason number - the ratio of
hydrodynamic-to-magnetic forces exerted to nanoparticles. The capture efficiency, λ, defined through a ratio of the
inlet-to-outlet concentration shows a power-law dependency on Mason number, λ∝Ma-0.8, in the range Ma<104. We
developed a theoretical model based on the trajectory analysis of particle motion in a concentric-sphere representative
cell of the porous filter. This model allows a correct prediction of the Mason number dependency of the capture
efficiency. The obtained results could be of potential interest for water purification systems based on chemical
adsorption of micro-pollutants on magnetic nanoparticles, followed by a magnetic separation on the considered type of
magnetic filter. Preliminary results on nickel ion adsorption on oleate-covered iron oxide nanoparticles have already
been obtained and are also reported in this work.
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