Variants of Magnetic-Rheological Method for Monitoring the Magnetic Susceptibility of a Single Particle
https://doi.org/10.17586/0021-3454-2024-67-7-599-608
Abstract
Features and variants of the proposed new method for determining magnetic susceptibility χ such a specific ferro (ferry) magnetic as a single particle of small size are described — on the basis of an analysis of the competition of forces, including magnetic force (dependent on χ), acting on the studied particle moving vertically in a column of resting liquid. It is stated that the fulfillment of the formed requirements for the implementation of the magneto-rheological method (MR-method) will allow to reasonably reduce in the general case the three-dimensional problem of determining χ to a productive one-dimensional one, and to a force balance equation that is quite acceptable for achieving a solution. Three variants of the MR-method are considered: with the movement (forced sedimentation) of the particle down, with its movement up and with the controlled movement of the particle up to the state of its hanging. The corresponding expressions for determining χ from data obtained during experiments are given.
Keywords
magnetic-rheological method,
single particle,
magnetic susceptibility,
inhomogeneity magnetic field,
magnetic force factor
Supporting agencies: the research was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation (project FSFZ-2024-0005).
About the Author
D. A. Sandulyak
MIREA — Russian Technological University
Russian Federation
Russian Federation
Darya A. Sandulyak — PhD; Department of Instruments and Information-Measuring Systems; Associate Professor
Moskow
References
1. Sandulyak D.A., Sandulyak A.A., Polismakova M.N., Еrshova V.А., Sandulyak А.V., Kurmysheva А.Yu., Solovev I.A. Journal of Instrument Engineering, 2023, no. 7(66), pp. 602–611, DOI: 10.17586/0021-3454-2023-66-7-602-611. (in Russ.)
2. Sandulyak D.A., Sandulyak A.A., Polismakova M.N., Sandulyak А.V., Kharin A.S., Solovyov I.A. Instruments and Systems: Monitoring, Control, and Diagnostics, 2023, no. 2, pp. 16–22, DOI: 10.25791/pribor.2.2023.1387. (in Russ.)
3. Sandulyak A. A., Sandulyak A. V., Ershova V. et al. Journal of Magnetism and Magnetic Materials, 2017, vol. 441, рр. 724–734. DOI: 10.1016/j.jmmm.2017.06.027.
4. Patent RU 2773630, Sposob kontrolya magnitnoy vospriimchivosti chastits po kontsentratsionnoy zavisimosti vospriimchivosti ikh dispersnykh obraztsov (A Method for Monitoring the Magnetic Susceptibility of Particles Based on the Concentration Dependence of the Susceptibility of Their Dispersed Samples), A.A. Sandulyak, V.А. Еrshova, А.V. Sandulyak, M.N. Polismakova, Priority 06.06.2022. (in Russ.)
5. Sandulyak A.A., Sandulyak D.A., Polismakova M.N., Sandulyak A.V., Ershova V.A., Kiselev D.O. Instruments and Systems: Monitoring, Control, and Diagnostics, 2023, no. 5, pp. 1–10, DOI: 10.25791/pribor.5.2023.1406. (in Russ.)
6. Patent RU 2753159, Sposob magnitno-reologicheskogo kontrolya magnitnoy vospriimchivosti chastitsy (Method of Magnetic-Rheological Control of the Magnetic Susceptibility of a Particle), A.A. Sandulyak, A.V. Sandulyak, V.A. Ershova, D.A. Sandulyak, Priority 12.08.2021. (in Russ.)
7. Kasatkin A.G. Osnovnyye protsessy i apparaty khimicheskoy tekhnologii (Basic Processes and Apparatuses of Chemical Technology), Moscow, 1973, 752 р. (in Russ.)
8. Li W., Zhou L., Han Y., Xu R. Powder Technology, 2019, vol. 355, рр. 300–308, DOI: 10.1016/j.powtec.2019.07.024.
9. Xue Z., Wang Y., Zheng X., Lu D., Li X. Separation and Purification Technology, 2020, vol. 237, рр. 116375, DOI: 10.1016/j.seppur.2019.116375.
10. Wu T.H., Mao J.H., Wang J.T., Wu J.Y., Xie Y.B. Tribology Transactions, 2009, vol. 52, рр. 623–631, DOI: 10.1080/10402000902825762.
11. Baik S.K., Ha D.W., Ko R.K., Kwon J.M. Physica C, 2012, vol. 480, рр. 111–117, DOI: 10.1016/j.physc.2012.04.036.
12. Ito D., Nishimura K., Miura O. Journal of Physics: Conference Series, 2009, vol. 156, рр. 012033, DOI: 10.1088/1742-6596/156/1/012033
13. Liu Y.-L., Li D.-W., He J. et al. Review of Scientific Instruments, 2018, vol. 89, рр. 105103, DOI: 10.1063/1.5016570.
14. Zeng J., Tong X., Yi F., Chen L. Minerals, 2019, no. 9(9), pp. 509, DOI: 10.3390/min9090509.
15. Hu K., Sun J., Guo Z. et al. Advanced Materials, 2015, vol. 27, рр. 2507–2514, DOI: 10.1002/adma.201405757.
16. Sandulyak A.A., Sandulyak A.V., Polismakova M.N., Kiselev D.O., Ershova V.A., Sandulyak D.A. Instruments and Experimental Techniques, 2018, no. 1(61), pp. 123–126, DOI: 10.1134/S0020441218010293.
17. Patent RU 2737609, Ustroystvo dlya sozdaniya i diagnostiki zony stabil'noy neodnorodnosti magnitnogo polya (Device for Creating and Diagnosing a Zone of Stable Magnetic Field Inhomogeneity), A.A. Sandulyak, A.V. Sandulyak, M.N. Polismakova, D.A. Sandulyak, D.O. Kiselev, Priority 1.12.2020. (in Russ.)
18. Patent RU 2805765, Sposob magnitno-reologicheskoy diagnostiki magnitnoy vospriimchivosti chastitsy pri yeye magnitoupravlyayemom peremeshchenii v zhidkosti (Method for Magnetic-Rheological Diagnostics of the Magnetic Susceptibility of a Particle during Its Magnetically Controlled Movement in a Liquid), A.A. Sandulyak, D.A. Sandulyak, M.N. Polismakova, A.V. Sandulyak, A.S. Kharin, I.A. Solovyov, Priority 24.10.2023. (in Russ.)
19. Patent RU 2813499, Magnitno-reologicheskiy sposob opredeleniya magnitnoy vospriimchivosti chastitsy (Magnetic-Rheological Method for Determining the Magnetic Susceptibility of a Particle), D.A. Sandulyak, A.A. Sandulyak, V.A. Ershova, A.V. Sandulyak, M.N. Polismakova, Priority 12.02.2024. (in Russ.)
Review
For citations:
Sandulyak D.A. Variants of Magnetic-Rheological Method for Monitoring the Magnetic Susceptibility of a Single Particle. Journal of Instrument Engineering. 2024;67(7):599-608. (In Russ.) https://doi.org/10.17586/0021-3454-2024-67-7-599-608
Views:
27
Email this article 