pimiПриборы и методы измеренийDevices and Methods of Measurements2220-95062414-0473BNTU10.21122/2220-9506-2022-13-2-117-127pimi-770Research ArticleМетоды измерений, контроля, диагностикиMethods of measurements, monitoring, diagnosticsПодход к контролю магнитных параметров сердцевин цепочки шаров. Диагностика разных по длине цепочки и радиусу сердцевинAn Approach to Monitoring of Magnetic Parameters of Cores of a Chain of Spheres. Diagnostics of Different Chain’s Length and Core’s RadiusСандулякА. А.SandulyakA. A.

ул. Стромынка, 20, г. Москва 107996

Stromynka str., 20, Moscow 107996, Russia

СандулякД. А.SandulyakD. A.

Адрес для переписки: Сандуляк Д.А. – МИРЭА – Российский технологический университет, ул. Стромынка, 20, г. Москва 107996, Россия d.sandulyak@mail.ru

Address for correspondence: Sandulyak D.A. – MIREA – Russian Technological University, Stromynka str., 20, Moscow 107996, Russia .sandulyak@mail.ru

d.sandulyak@mail.ruГорпиненкоЮ. О.GorpinenkoY. O.

ул. Стромынка, 20, г. Москва 107996

Stromynka str., 20, Moscow 107996, Russia

СандулякА. В.SandulyakA. V.

ул. Стромынка, 20, г. Москва 107996

Stromynka str., 20, Moscow 107996, Russia

ЕршоваВ. А.ErshovaV. A.

ул. Стромынка, 20, г. Москва 107996

Stromynka str., 20, Moscow 107996, Russia

МИРЭА – Российский технологический университетРоссияMIREA – Russian Technological UniversityRussian Federation202206072022132117127Copyright © Сандуляк А.А., Сандуляк Д.А., Горпиненко Ю.О., Сандуляк А.В., Ершова В.А., 20222022Сандуляк А.А., Сандуляк Д.А., Горпиненко Ю.О., Сандуляк А.В., Ершова В.А.Sandulyak A.A., Sandulyak D.A., Gorpinenko Y.O., Sandulyak A.V., Ershova V.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://pimi.bntu.by/jour/article/view/770

Базовыми структурными элементами намагничиваемой гранулированной среды (эффективно используемой, в частности, в устройствах для тонкой магнитной сепарации) являются цепочки гранул (согласно поканальной модели), в связи с чем возникает необходимость в детализации особенностей их намагничивания. Цель работы – разработка и реализация подхода к измерениям магнитных (микро) потоков по сердцевинам разного радиуса r в цепочке гранул при помощи специально разработанного (по технологии печатных плат) датчика, используя доступные для таких измерений шары повышенного радиуса R (15 и 20 мм).

По данным измерений магнитных (микро)потоков получены данные средней индукции в каждой из квазисплошных сердцевин цепочки шаров, а также данные магнитной проницаемости и восприимчивости этих сердцевин, их намагниченности для разных значений напряжённости намагничивающего поля. Показано, что зависимости указанных магнитных параметров от числа шаров n в цепочке обобщаются по r /R для разных R.

Эти зависимости, возрастая по мере увеличения n вследствие уменьшения размагничивающего фактора N любой из сердцевин и цепочки в целом, демонстрируют достижение индивидуально предельных значений магнитных параметров и соответствующих автомодельных областей, где N→0. При этом переход к каждой из этих областей, проявляющийся практически независимо от r /R и напряжённости, приходится на значение n = 10–12 = [n]. Тем самым такое, по сути критериальное, значение [n] разграничивает цепочки на достаточно «длинные» – когда n ≥ [n] и «короткие» – когда 2 ≤ n ˂ [n]. Получены и феноменологически описаны данные размагничивающего фактора для разных сердцевин «коротких» цепочек шаров.

 

The basic structural elements of the magnetized granular medium (effectively used, in particular, in apparatus of thin magnetic separation) are granule chains (according to channel-by-channel model), in connection with which there is a need to detail the features of their magnetization. The purpose of the work is to develop and implement an approach to measuring magnetic (micro)flows along the cores of different radius r in the chain of granules using a specially developed (by printed circuit board technology) sensor, with high radius R (15 and 20 mm) spheres available for such measurements.

From the data of measuring magnetic (micro)flows data of average induction in each of the quasi-continuous cores of the spheres chain are obtained, as well as data of magnetic permeability and susceptibility of these cores, their magnetization for different values of the intensity of the magnetizing field. It is shown that dependences of mentioned magnetic parameters from number n spheres in a chain are generalized on r /R for different R.

These relationships, increasing as n increases due to a decrease in the demagnetizing factor N of any of the cores and the chain as a whole, demonstrate the achievement of individually limiting values of magnetic parameters and corresponding auto-model regions where N→0. At the same time, the transition to each of these regions, manifesting almost independently of r /R and intensity, falls on the value of n = 10–12 = [n]. Thus, in fact, such a criterion value [n] distinguishes chains by sufficiently “long” – when n ≥ [n] and “short” – when 2 ≤ n ˂ [n]. Data of demagnetizing factor for different cores of “short” chains of spheres are obtained and phenomenologically described.

цепочка гранулдатчик-контур на печатной платемагнитная проницаемостьвосприимчивостьразмагничивающий факторchain of granulessensor contour on a printed circuit boardmagnetic permeabilitysusceptibilitydemagnetizing factorThis research was supported by the Ministry of Science and Higher Education of the Russian Federation, project 0706-2020-0024.ReferencesPérigo E.A., Weidenfeller B., Kollár P., Füzer J. Past, present, and future of soft magnetic composites. Applied Physics Review, 2018, vol. 5, no. 3, p. 031301. DOI: 10.1063/1.5027045Périgo E.A., Weidenfeller B., Kollár P., Füzer J. Past, present, and future of soft magnetic composites. Applied Physics Review, 2018, vol. 5, no. 3, p. 031301. DOI: 10.1063/1.5027045Strečková M., Füzer J., Kobera L., Brus J., Faberova M., Bures R., Kollar P., Lauda M., Medvecky L., Girman V., Hadraba H., Batʼkova M., Batʼko I. A comprehensive study of soft magnetic materials based on FeSi spheres and polymeric resin modified by silica nanorods. Materials Chemistry and Physics, 2014, vol. 147, iss. 3, pp. 649–660. DOI: 10.1016/j.matchemphys.2014.06.004Strečková M., Füzer J., Kobera L., Brus J., Faberova M., Bures R., Kollar P., Lauda M., Medvecky L., Girman V., Hadraba H., Batʼkova M., Batʼko I. A comprehensive study of soft magnetic materials based on FeSi spheres and polymeric resin modified by silica nanorods. Materials Chemistry and Physics, 2014, vol. 147, iss. 3, pp. 649–660. DOI: 10.1016/j.matchemphys.2014.06.004Kanhe N.S., Kumar A., Yusuf S.M., Nawale A.B., Gaikwad S.S., Raut Suyog A., Bhoraskar S.V., Sheng Wu Yun, Das A.K., Mathe V.L. Investigation of structural and magnetic properties of thermal plasma-synthesized Fe1− xNiχ alloy nanoparticles. Journal of Alloys and Compounds, 2016, vol. 663, pp. 30–40. DOI: 10.1016/j.jallcom.2015.11.190Kanhe N.S., Kumar A., Yusuf S.M., Nawale A.B., Gaikwad S.S., Raut Suyog A., Bhoraskar S.V., Sheng Wu Yun, Das A.K., Mathe V.L. Investigation of structural and magnetic properties of thermal plasma-synthesized Fe1− xNiχ alloy nanoparticles. Journal of Alloys and Compounds, 2016, vol. 663, pp. 30–40. DOI: 10.1016/j.jallcom.2015.11.190Birčáková Z., Kollár P., Weidenfeller B., Füzer J., Fáberová M., Bureš R. Reversible and irreversible DC magnetization processes in the frame of magnetic, thermal and electrical properties of Fe-based composite materials. Journal of Alloys and Compounds, 2015, vol. 645, pp. 283–289. DOI: 10.1016/j.jallcom.2015.05.121Birčáková Z., Kollár P., Weidenfeller B., Füzer J., Fáberová M., Bureš R. Reversible and irreversible DC magnetization processes in the frame of magnetic, thermal and electrical properties of Fe-based composite materials. Journal of Alloys and Compounds, 2015, vol. 645, pp. 283–289. DOI: 10.1016/j.jallcom.2015.05.121Kollár P., Birčáková Z., Vojtek V., Füzer J., Bureš R., Fáberova M. Dependence of demagnetizing fields in Fe-based composite materials on magnetic particle size and the resin content. Journal of Magnetism and Magnetic Materials, 2015, vol. 388, pp. 76–81. DOI: 10.1016/j.jmmm.2015.04.008Kollár P., Birčáková Z., Vojtek V., Füzer J., Bureš R., Fáberova M. Dependence of demagnetizing fields in Fe-based composite materials on magnetic particle size and the resin content. Journal of Magnetism and Magnetic Materials, 2015, vol. 388, pp. 76–81. DOI: 10.1016/j.jmmm.2015.04.008Bai K., Casara J., Nair-Kanneganti А., Wahl A., Carle F., Brown E. Effective magnetic ceptibility of suspensions of ferro-magnetic particles. Journal of Applied Physics, 2018, vol. 124, p. 123901. DOI: 10.1063/1.5041750Bai K., Casara J., Nair-Kanneganti А., Wahl A., Carle F., Brown E. Effective magnetic ceptibility of suspensions of ferro-magnetic particles. Journal of Applied Physics, 2018, vol. 124, p. 123901. DOI: 10.1063/1.5041750Moore R.L. Development of a volume fraction scaling function for demagnetization factors in effective media theories of magnetic composites. AIP Advances, 2019, vol. 9, p. 035107. DOI: 10.1063/1.5078736Moore R.L. Development of a volume fraction scaling function for demagnetization factors in effective media theories of magnetic composites. AIP Advances, 2019, vol. 9, p. 035107. DOI: 10.1063/1.5078736Moore R.L. Development and test of concentration scaled demagnetization in effective media theories of magnetic composites. Journal of Applied Physics, 2019, vol. 125, p. 085101. DOI: 10.1063/1.5053791Moore R.L. Development and test of concentration scaled demagnetization in effective media theories of magnetic composites. Journal of Applied Physics, 2019, vol. 125, p. 085101. DOI: 10.1063/1.5053791Sandulyak A.A., Sandulyak D.A., Ershova V.A., Sandulyak A.V. Ferrous Material Fill: Magnetization Channels, Layer-by-Layer and Average Permeability, Element-to-Element Field. Analysis and Modelling of Advanced Structures and Smart Systems, 2017, vol. 81, pp. 191–210. DOI: 10.1007/978-981-10-6895-9_9Sandulyak A.A., Sandulyak D.A., Ershova V.A., Sandulyak A.V. Ferrous Material Fill: Magnetization Channels, Layer-by-Layer and Average Permeability, Element-to-Element Field. Analysis and Modelling of Advanced Structures and Smart Systems, 2017, vol. 81, pp. 191–210. DOI: 10.1007/978-981-10-6895-9_9Sandulyak A.V., Sandulyak A.A., Ershova V.A. Magnetization curve of a granulated medium in terms of the channel-by-channel magnetization model (new approach). Doklady Physics, 2007, vol. 52, pp. 179–181. DOI: 10.1134/S1028335807040027Sandulyak A.V., Sandulyak A.A., Ershova V.A. Magnetization curve of a granulated medium in terms of the channel-by-channel magnetization model (new approach). Doklady Physics, 2007, vol. 52, pp. 179–181. DOI: 10.1134/S1028335807040027Sandulyak A.V., Gorpinenko Yu.O., Polismakova M.N., Sandulyak D.A., Sandulyak A.A. Magnetic flow and induction in the hearts of magnetizable ball chains. Engineering, 2020, no. 6(96), pp. 96–110. DOI: 10.23670/IRJ.2020.96.6.017Sandulyak A.V., Gorpinenko Yu.O., Polismakova M.N., Sandulyak D.A., Sandulyak A.A. Magnetic flow and induction in the hearts of magnetizable ball chains. Engineering, 2020, no. 6(96), pp. 96–110. DOI: 10.23670/IRJ.2020.96.6.017Kolomeitsev A.A., Zatonov I.A., Pischanskaya M.I., Baranov P.F., IlyaschenkoD.P., Verkhoturova E.V. Designing a Planar Fluxgate Using the PCB Technology. Devices and Methods of Measurements, 2021, vol. 12, no. 2, рр. 117–123. DOI: 10.21122/2220-9506-2021-12-2-117-123Kolomeitsev A.A., Zatonov I.A., Pischanskaya M.I., Baranov P.F., IlyaschenkoD.P., Verkhoturova E.V. Designing a Planar Fluxgate Using the PCB Technology. Devices and Methods of Measurements, 2021, vol. 12, no. 2, рр. 117–123. DOI: 10.21122/2220-9506-2021-12-2-117-123Uchaikin S., Likhachev A., Cioata F., Perminov I., Sanghera H., Singh I., Spear P., Chavez P., Han X., Petroff C., Rich C. 3D magnetometer for a dilution refrigerator. Journal of Physics: Conference Series, 2012, vol. 400, p. 052037. DOI: 10.1088/1742-6596/400/5/052037Uchaikin S., Likhachev A., Cioata F., Perminov I., Sanghera H., Singh I., Spear P., Chavez P., Han X., Petroff C., Rich C. 3D magnetometer for a dilution refrigerator. Journal of Physics: Conference Series, 2012, vol. 400, p. 052037. DOI: 10.1088/1742-6596/400/5/052037Chen D.X., Pardo E., Zhu Y.-H., Xiang L.-X., Ding J.-Q. Demagnetizing correction in fluxmetric measurements of magnetization curves and hysteresis loops of ferromagnetic cylinders. Journal of Magnetism and Magnetic Materials, 2018, vol. 449, pp. 447–454. DOI: 10.1016/j.jmmm.2017.10.Chen D.X., Pardo E., Zhu Y.-H., Xiang L.-X., Ding J.-Q. Demagnetizing correction in fluxmetric measurements of magnetization curves and hysteresis loops of ferromagnetic cylinders. Journal of Magnetism and Magnetic Materials, 2018, vol. 449, pp. 447–454. DOI: 10.1016/j.jmmm.2017.10.

The authors declare that there are no conflicts of interest present.