Magnetophoretic Equilibrium of a Polydisperse Ferrofluid
Abstract
:1. Introduction
2. Model and Methods
2.1. Model
- the particle volume fraction is small enough that the effect of interparticle interactions on the equilibrium particle distribution can be neglected, i.e., , where is the local particle volume fraction (see additional discussion on the role of interparticle interactions in Section 3.3);
- the effect of the gravitational sedimentation on the system is small compared to the effect of magnetophoresis.
2.2. Continuous Mass Transfer Theory for the Monodisperse System
2.3. Equilibrium Distributions of the Polydisperse System
2.4. Langevin Dynamics
3. Results and Discussion
3.1. Monodisperse System
3.2. Polydisperse System
3.3. On the Role of Interparticle Interactions
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
FF | ferrofluid |
MNP | magnetic nanoparticle |
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Kuznetsov, A.A.; Podlesnykh, I.A. Magnetophoretic Equilibrium of a Polydisperse Ferrofluid. Nanomaterials 2021, 11, 2849. https://doi.org/10.3390/nano11112849
Kuznetsov AA, Podlesnykh IA. Magnetophoretic Equilibrium of a Polydisperse Ferrofluid. Nanomaterials. 2021; 11(11):2849. https://doi.org/10.3390/nano11112849
Chicago/Turabian StyleKuznetsov, Andrey A., and Ivan A. Podlesnykh. 2021. "Magnetophoretic Equilibrium of a Polydisperse Ferrofluid" Nanomaterials 11, no. 11: 2849. https://doi.org/10.3390/nano11112849