Extremum in the dependence of the head generated by electromagnetic pump of liquid metal on feeding current frequency

Authors

  • Il’ya Vladimirovich Kolesnichenko Institute of Continuous Media Mechanics UB RAS
  • Ruslan Il’dusovich Khalilov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2022.15.4.38

Keywords:

magnetohydrodynamics, electrical conductivity, liquid metal coolant, electromagnetic pump, physical and mathematic modellnig

Abstract

Magnetohydrodynamic processes that take place in the coaxial channel of an induction electromagnetic pump for liquid metal have been studied. The main purpose of the work is to develop a new method for the real-time measurement of the physical properties of a liquid metal coolant for fast reactors of nuclear power plants. The property control systems are, as a rule, combined with the systems for cleaning the liquid-metal coolant from undesirable impurities, since the latter change the physical characteristics of the coolant, such as electrical conductivity, thermal conductivity, viscosity, and density. It is stated that the problem can be overcome by analyzing the characteristics of the electromagnetic pump, which is an obligatory element of systems for purifying the coolant and monitoring its properties. Particular emphasis is placed on studying the characteristic, which can be rapidly measured by the devices incorporated in the control system. The head generated by the electromagnetic pump related to the frequency of the current feeding the inductor windings (all other factors being the same) is best suited for this purpose. In this work, the values of the pressure drop for the electromagnetic pump are determined at different flow rates of liquid metal in a certain range of electrical conductivity. The same dependences were determined experimentally using the same electromagnetic pump that runs on the gallium eutectic with a known exact value of electrical conductivity. It turned out that all these dependences have an extremum. It has been found that the calculated frequency of the electric current, which provides the extremum of the head, coincides with the experimental one, provided that in the calculations, the gallium eutectic is used as the working liquid. Thus, using the results of mathematical modeling along with physical measurements one can promptly determine the unknown current value of electrical conductivity. The results obtained serve as the basis for the developed method to monitor the purity of a liquid metal coolant.

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Supporting Agencies
Исследование выполнено за счет гранта Российского научного фонда и Пермского края № 22-19-20106, https://rscf.ru/project/22-19-20106/.

References

Verte L.A. Elektromagnitnyy transport zhidkogo metalla [Electromagnetic transport of liquid metal]. Moscow, Metallurgiya, 1965. 236 p.

Arkhipov V.M. Tekhnika raboty s natriyem na AES [Technique for working with sodium at nuclear power plants]. Moscow, Energoatomizdat, 1986. 136 p.

Liyelpeter Yu. Zhidkometallicheskiye induktsionnyye MGD-mashiny [Liquid metal induction MHD machines]. Riga, Zinatne, 1969. 246 p.

Vol’dek A. Induktsionnyye magnitogidrodinamicheskiye mashiny s zhidkometallicheskim rabochim telom [Induction magnetohydrodynamic machines with a liquid metal working body]. Leningrad, Energiya, 1970. 271 p.

Khripchenko S., Kolesnichenko I., Dolgikh V. Pumping effect in a flat MHD channel with an electrovortex flow. Magnetohydrodynamics, 2008, vol. 44, pp. 303-313. http://doi.org/10.22364/mhd.44.3.9

Denisov S., Dolgikh V., Khripchenko S., Kolesnichenko I. Electrovortex centrifugal pump. Magnetohydrodynamics, 2016, vol. 52, pp. 25-34. http://doi.org/10.22364/mhd.52.1.4

Khripchenko S., Khalilov R., Kolesnichenko I., Denisov S., Galindo V., Gerbeth G. Numerical and experimental modelling of various MHD induction pumps. Magnetohydrodynamics, 2010, vol. 46, pp. 85-98.

Denisov S., Dolgikh V., Khalilov R., Kolesnichenko I., Khripchenko S. The MHD travelling magnetic field pump for liquid magnesium. Magnetohydrodynamics, 2013, vol. 49, pp. 223-230. http://doi.org/10.22364/mhd.49.1-2.28

Abdullina K.I., Bogovalov S.V., Zaikov Yu.P. 3D numerical modeling of liquid metal turbulent flow in an annular linear induction pump. Ann. Nucl. Energ., 2018, vol. 111, pp. 118-126. http://doi.org/10.1016/j.anucene.2017.08.010

Khalilov R., Kolesnichenko I. Annular linear induction pump for liquid sodium. Magnetohydrodynamics, 2015, vol. 51, pp. 95-104. http://doi.org/10.22364/mhd.51.1.10

Smolyanov I., Sarapulov F., Tarasov F. Calculation of linear induction motor features by detailed equivalent circuit method taking into account non-linear electromagnetic and thermal properties. Computers and Mathematics with Applications, 2019, vol. 78, pp. 3187-3199. http://doi.org/10.1016/j.camwa.2019.05.015

Kozlov F.A., Ivanenkо V.N. Sodium — Coolant for nuclear power plants with fast reactors. At. Energy, 1996, vol. 80, pp. 318 324. https://doi.org/10.1007/BF02418710

Kozlov F.A. (ed.) Zhidkometallicheskiye teplonositeli YaEU: Ochistka ot primesey i ikh kontrol’ [Liquid-metal coolants of nuclear power plants: Purification from impurities and their control]. Moscow, Energoatomizdat, 1983. 128 p.

Leenov D., Kolin A. Theory of electromagnetophoresis. I. Magnetohydrodynamic forces experienced by spherical and symmetrically oriented cylindrical particles. J. Chem. Phys., 1954, vol. 22, pp. 683-688. http://doi.org/10.1063/1.1740149

Povkh I.L., Chekin B.V. Magnitogidrodinamicheskaya separatsiya [Magnetohydrodynamic separation]. Kiyev, Naukova dumka, 1978. 148 p.

Makarov S., Ludwig R., Apelian D. Electromagnetic separation techniques in metal casting. I. Conventional methods. IEEE Trans. Magn., 2000, vol. 36, pp. 2015-2021. http://doi.org/10.1109/20.875303

Kolesnichenko I. Investigation of electromagnetic force action on two-phase electrically conducting media in a flat layer. Magnetohydrodynamics, 2013, vol. 49, pp. 217-222. http://doi.org/10.22364/mhd.49.1-2.27

Ozernykh V.S., Kolesnichenko I.V., Frick P.G. MHD vortex flow in liquid metal near a spherical particle with different conductivity. Vychisl. mekh. splosh. sred – Computational Continuum Mechanics, 2022, vol. 15, no. 3, pp. 354-362. https://doi.org/10.7242/1999-6691/2022.15.3.27

Losev G., Mamykin A., Kolesnichenko I. Electromagnetic separation: concentration measurements. Magnetohydrodynamics, 2019, vol. 55, pp. 89-96. http://doi.org/10.22364/mhd.55.1-2.11

Mamykin A., Losev G., Kolesnichenko I. Model of electromagnetic purification of liquid metal. Magnetohydrodynamics, 2021, vol. 57, pp. 73-84. https://doi.org/10.22364/mhd.57.1.6

Losev G.L., Mamykin A.D. An inductive method for monitoring impurities in non-ferromagnetic metals. Vestnik Permskogo universiteta. Fizika – Bulletin of Perm University. Physics, 2022, no. 1, pp. 38-43. https://doi.org/10.17072/1994-3598-2022-1-38-43

Branover G.G., Tsinober A.B. Magnitnaya gidrodinamika neszhimayemykh sred [Magnetic hydrodynamics of incompressible media]. Moscow, Nauka, 1970. 379 p.

Dobosz A., Plevachuk Yu., Sklyarchuk V., Sokoliuk B., Gancarz T. Thermophysical properties of the liquid Ga–Sn–Zn eutectic alloy. Fluid Phase Equil., 2018, vol. 465, pp. 1-9. http://doi.org/10.1016/j.fluid.2018.03.001

Zikanov O., Belyaev I., Listratov Y., Frick P., Razuvanov N., Sviridov V. Mixed convection in pipe and duct flows with strong magnetic fields. Appl. Mech. Rev., 2021, vol. 73, 010801. http://doi.org/10.1115/1.4049833

Oborin P., Kolesnichenko I. Application of the ultrasonic doppler velocimeter to study the flow and solidification processes in an electrically conducting fluid. Magnetohydrodynamics, 2013, vol. 49, pp. 231-236. http://doi.org/10.22364/mhd.49.1-2.29

Frick P., Mandrykin S., Eltischev V., Kolesnichenko I. Electro-vortex flows in a cylindrical cell under axial magnetic field. J. Fluid Mech., 2022, vol. 949, A20. http://doi.org/10.1017/jfm.2022.746

Losev G., Kolesnichenko I. The influence of the waveguide on the quality of measurements with ultrasonic Doppler velocimetry. Flow Meas. Instrum., 2020, vol. 75, 101786. http://doi.org/10.1016/j.flowmeasinst.2020.101786

Kolesnichenko I., Khalilov R., Shestakov A., Frick P. ICMM’s two-loop liquid sodium facility. Magnetohydrodynamics, 2016, vol. 52, pp. 87-94.

Published

2023-01-12

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Section

Articles

How to Cite

Kolesnichenko, I. V., & Khalilov, R. I. (2023). Extremum in the dependence of the head generated by electromagnetic pump of liquid metal on feeding current frequency. Computational Continuum Mechanics, 15(4), 495-506. https://doi.org/10.7242/1999-6691/2022.15.4.38