The influence of pole piece geometry on the lifespan of the stationary magnetic fluid seal
Keywords:
diffusion, magnetophoresis, magnetic fluid, numerical methods, computer simulationAbstract
The paper presents the results of a numerical simulation of the problem of changing the concentration of magnetic particles over time in a magnetic fluid seal (MFS) operating in the standby mode. It is noted that the process of reconcentration is determined by the balance of magnetophoresis and concentration diffusion. The study was performed for the two most common pole piece geometries – triangular and rectangular. The governing equations take into account the diffusion coefficient’s dependence on the concentration of magnetic particles and a modified expression for the mobility of magnetic particles. A comparison of the influence of pole piece geometry on the MFS lifespan was carried out. Under the influence of a high-gradient magnetic field in the MFS, magnetic particles tend to the region of higher magnetic field strength. As a result, the concentration of magnetic particles in the gap of the MFS increases significantly, which leads to an increase the viscosity of the magnetic fluid. Excessive increase in the viscosity of the magnetic fluid may result in the shaft not being able to rotate, i. e., seal failure. The lifespan of the MFS is considered to be the time during which the magnetic fluid in the gap of the MFS loses its fluidity. It was determined that the lifespan of the MFS with a triangular pole piece geometry exceeds the lifespan of the MFS with a rectangular pole piece geometry. When using vacuum oil as the base fluid, the failure-free operation time of the MFS, depending on its parameters, can range from a month to several years.
References
- Kole M, Khandekar S. Engineering applications of ferrofluids: a review. Journal of Magnetism and Magnetic Materials. 2021;537:168222. DOI: 10.1016/j.jmmm.2021.168222.
- Bolotov A, Burdo G. Magnetic fluid method for sealing liquid media. In: Bieliatynskyi A, Guda AN, editors. Transport technologies in the 21st century (TT21C-2023). Actual problems of decarbonization of transport and power engineering: ways of their innovative solution. International scientific conference; 2023 April 5–7; Rostov-on-Don, Russia. [S. l.]: [s. n.]; 2023. Article No.: 04081 (E3S web of conferences; volume 383). DOI: 10.1051/e3sconf/202338304081.
- Rao Y, Yan X, Luo L, Hao F, Shen C, Lei C, et al. Magnetic fluid seal for switchgear. In: CIRED. 25th International conference on electricity distribution; 2019 June 3–6; Madrid, Spain. Liège: AIM; 2019. Paper No.: 1035.
- Liu S, Li D, He X, Zhang Z. Structure design study of vacuum magnetic fluid seal. Frontiers in Materials. 2022;9:932697. DOI: 10.3389/fmats.2022.932697.
- Berkovsky BM, Medvedev VF, Krakov MS. Magnetic fluids: engineering applications. Oxford: Oxford University Press; 1993. XII, 243 p.
- Bashtovoi VG, Pogirnitskaya SG, Kuzhir R, Polunin VM, Ryapolov PA, Shabanova IA, et al. Influence of mass transfer processes on Couette flow of magnetic fluid. Journal of Nano- and Electronic Physics. 2013;5(4):04011.
- Taketomi S. Motion of ferrite particles under a high gradient magnetic field in a magnetic fluid shaft seal. Japanese Journal of Applied Physics. 1980;19(10):1929–1936. DOI: 10.1143/JJAP.19.1929.
- Odenbach S. Forced diffusion in magnetic fluids under the influence of a strong magnetic field gradient. Zeitschrift für Physik B Condensed Matter. 1994;94:331–334. DOI: 10.1007/BF01320686.
- Krakov MS, Nikiforov IV. Regarding the influence of heating and the Soret effect on a magnetic fluid seal. Journal of Magnetism and Magnetic Materials. 2017;431:255–261. DOI: 10.1016/j.jmmm.2016.07.054.
- Sharyna SG, Krakov MS. Effect of a high-gradient magnetic field on particle concentration distribution in a magnetic fluid seal: rivalry of the diffusion and magnetophoresis. Journal of Magnetism and Magnetic Materials. 2024;599:172095. DOI: 10.1016/j.jmmm.2024.172095.
- Pshenichnikov AF, Elfimova EA, Ivanov AO. Magnetophoresis, sedimentation, and diffusion of particles in concentrated magnetic fluids. The Journal of Chemical Physics. 2011;134(18):184508. DOI: https://doi.org/10.1063/1.3586806.
- Sharyna S, Krakov M. Interplay between magnetophoresis and diffusion in magnetic fluid seals for vacuum devices and their lifespan. Vacuum. 2025;234:114122. DOI: 10.1016/j.vacuum.2025.114122.
- Chong JS, Christiansen EB, Baer AD. Rheology of concentrated suspensions. Journal of Applied Polymer Science. 1971;15(8):2007–2021. DOI: 10.1002/app.1971.070150818.
- Шарина СГ, Краков МС. Влияние формы полюсного наконечника на характеристики стояночного магнитожидкостного уплотнения. В: Диканский ЮИ, Ерин КВ, Закинян АР, Куникин СА, редакторы. Сборник научных трудов VIII Международной Ставропольской конференции по магнитным коллоидам (ISCMC2023); 10–14 сентября 2023 г.; Ставрополь, Россия. Ставрополь: Издательство Северо-Кавказского федерального университета; 2023. с. 152–156.
- Buyevich YuA, Ivanov AO. Kinetics of phase separation in colloids: I. Formation of initial aggregates. Physica A: Statistical Mechanics and its Applications. 1993;192(3):375–390. DOI: 10.1016/0378-4371(93)90044-5.
- Russel WB. The dynamics of colloidal systems. Madison: University of Wisconsin Press; 1987. XIV, 119 p.
- Krakov MS. Control volume finite-element method for Navier – Stokes equations in vortex-streamfunction formulation. Numerical Heat Transfer. Part B, Fundamentals. 1992;21(2):125–145. DOI: 10.1080/10407799208944913.
- Patankar SV. Numerical heat transfer and fluid flow. [S. l.]: Hemisphere Publishing Corporation; 1980. XVI, 197 p. (Minkowycz WJ, Sparrow EM, editors. Series in computational and physical processes in mechanics and thermal sciences).
- Shepard D. A two-dimensional interpolation function for irregularly-spaced data. In: Blue RB, Rosenberg AM, editors. ACMʼ68. Proceedings of the 23rd ACM national conference; 1968 August 27–29; Las Vegas, USA. New York: Association for Computing Machinery; 1968. p. 517–524.
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