Magnetophoretic Equilibrium of a Polydisperse Ferrofluid
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 with...
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MDPI AG
2021
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oai:doaj.org-article:dbeec4e318044c98823ba20e23c26dcc2021-11-25T18:30:20ZMagnetophoretic Equilibrium of a Polydisperse Ferrofluid10.3390/nano111128492079-4991https://doaj.org/article/dbeec4e318044c98823ba20e23c26dcc2021-10-01T00:00:00Zhttps://www.mdpi.com/2079-4991/11/11/2849https://doaj.org/toc/2079-4991The 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.Andrey A. KuznetsovIvan A. PodlesnykhMDPI AGarticlemagnetic nanoparticlesferrofluidmagnetophoresisdiffusionmass transferpolydispersityChemistryQD1-999ENNanomaterials, Vol 11, Iss 2849, p 2849 (2021) |
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DOAJ |
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magnetic nanoparticles ferrofluid magnetophoresis diffusion mass transfer polydispersity Chemistry QD1-999 |
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magnetic nanoparticles ferrofluid magnetophoresis diffusion mass transfer polydispersity Chemistry QD1-999 Andrey A. Kuznetsov Ivan A. Podlesnykh Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
description |
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. |
format |
article |
author |
Andrey A. Kuznetsov Ivan A. Podlesnykh |
author_facet |
Andrey A. Kuznetsov Ivan A. Podlesnykh |
author_sort |
Andrey A. Kuznetsov |
title |
Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
title_short |
Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
title_full |
Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
title_fullStr |
Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
title_full_unstemmed |
Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
title_sort |
magnetophoretic equilibrium of a polydisperse ferrofluid |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/dbeec4e318044c98823ba20e23c26dcc |
work_keys_str_mv |
AT andreyakuznetsov magnetophoreticequilibriumofapolydisperseferrofluid AT ivanapodlesnykh magnetophoreticequilibriumofapolydisperseferrofluid |
_version_ |
1718411107172876288 |