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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-10-01
|
| Series: | Nanomaterials |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-4991/11/11/2849 |
| _version_ | 1797509118917869568 |
|---|---|
| author | Andrey A. Kuznetsov Ivan A. Podlesnykh |
| author_facet | Andrey A. Kuznetsov Ivan A. Podlesnykh |
| author_sort | Andrey A. Kuznetsov |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:13:20Z |
| format | Article |
| id | doaj.art-dbeec4e318044c98823ba20e23c26dcc |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T05:13:20Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-dbeec4e318044c98823ba20e23c26dcc2023-11-23T00:39:20ZengMDPI AGNanomaterials2079-49912021-10-011111284910.3390/nano11112849Magnetophoretic Equilibrium of a Polydisperse FerrofluidAndrey A. Kuznetsov0Ivan A. Podlesnykh1Institute of Natural Sciences and Mathematics, Ural Federal University, 620000 Ekaterinburg, RussiaElectrical Engineering Faculty, Perm National Research Polytechnic University, 614990 Perm, RussiaThe 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.https://www.mdpi.com/2079-4991/11/11/2849magnetic nanoparticlesferrofluidmagnetophoresisdiffusionmass transferpolydispersity |
| spellingShingle | Andrey A. Kuznetsov Ivan A. Podlesnykh Magnetophoretic Equilibrium of a Polydisperse Ferrofluid Nanomaterials magnetic nanoparticles ferrofluid magnetophoresis diffusion mass transfer polydispersity |
| title | 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_short | Magnetophoretic Equilibrium of a Polydisperse Ferrofluid |
| title_sort | magnetophoretic equilibrium of a polydisperse ferrofluid |
| topic | magnetic nanoparticles ferrofluid magnetophoresis diffusion mass transfer polydispersity |
| url | https://www.mdpi.com/2079-4991/11/11/2849 |
| work_keys_str_mv | AT andreyakuznetsov magnetophoreticequilibriumofapolydisperseferrofluid AT ivanapodlesnykh magnetophoreticequilibriumofapolydisperseferrofluid |