Kuznetsov Andrey A, Podlesnykh Ivan A
Institute of Natural Sciences and Mathematics, Ural Federal University, 620000 Ekaterinburg, Russia.
Electrical Engineering Faculty, Perm National Research Polytechnic University, 614990 Perm, Russia.
Nanomaterials (Basel). 2021 Oct 26;11(11):2849. doi: 10.3390/nano11112849.
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.
从理论上研究了磁性纳米颗粒在非均匀磁场中的平衡浓度分布。使用载流直线作为非均匀场源。在连续传质理论框架内得到了稀单分散悬浮液浓度分布的精确解。利用朗之万动力学模拟检验了该解在广泛电流值范围内的适用性。所得解也推广到了多分散悬浮液。结果表明，多分散体系中的粒径分布强烈依赖于距导线的距离，并且一般与均匀悬浮液的原始分布不一致。
