Reference for citation: Sandulyak D. A. Variants of magnetic-rheological method for determining the magnetic susceptibility of a single particle. Journal of Instrument Engineering. 2024. Vol. 67, N 7. P. 599–608 (in Russian). DOI: 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

Acknowledgement: 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).

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