Liquid metal flows driven by rotating and traveling magnetic fields

Stiller, Jörg; Koal, Kristina; Nagel, Wolfgang E.; Pal, J.; Cramer, A.

doi:10.1140/epjst/e2013-01801-8

Cited by 34 publications

(10 citation statements)

References 31 publications

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“…Stiller et al [17] review the current understanding of flows driven by rotating (RMF) and traveling (TMF) magnetic fields as achieved by three-dimensional direct numerical and large-eddy simulations and matched model experiments. Furthermore, the flow fields resulting from superpositions of RMFs and TMFs are considered.…”

Section: Electromagnetic Flow Control In Casting and Solidificationmentioning

confidence: 99%

Electromagnetic flow control in metallurgy, crystal growth and electrochemistry

Gerbeth

Eckert

Odenbach

2013

Eur. Phys. J. Spec. Top.

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Electromagnetic fields, produced either by alternating (AC) or constant (DC) electric currents, or by simple permanent magnets, strongly influence the flow of liquid metals or electrolytes. This is caused by the Lorentz force (density) f L = j × B, resulting from the interaction between the magnetic induction B and the electric current density j, either induced by Faraday's law in liquid metals, or injected in the case of weakly conducting liquids, e.g. in electrochemical systems. The study of the feedback between B and the velocity field u, driven by f L is called magnetohydrodynamics (MHD), a discipline dating back to the discovery of the induction law in 1831 by Faraday. For the basics of MHD we refer to excellent textbooks [1][2][3] or a recent review [4]. Important early milestones in the development of MHD were the first liquid metal experiments in channels performed by Hartmann in 1937 [5] and the Nobel prize decorated discovery of incompressible waves in 1942 [6], now called Alfvén waves, that play an important role in solar physics. More recent developments consist in the rapid emergence of a new discipline, the electromagnetic processing of materials with own conferences [7], or the experimental proofs of the dynamo action, i.e. the self-excitation of B solely caused by the flowing liquid metal in specifically designed laboratory experiments [8].This remarkable diversity of phenomena is sorted in MHD by the magnetic Reynolds number Rm = μ 0 σul, where μ 0 , σ, u and l refer to vacuum permeability, electric conductivity and to the characteristic scales of velocity and length, respectively. The dynamo problem as well as other important astrophysical problems, such as phenomena in the solar atmosphere, fall into the class of high-Rm problems due to the large length scales involved. Here, the magnetic fields induced by the flow of electrically conducting liquids via the induction equation have to be taken into account, making the calculation of f L a formidable task. By contrast, nearly all laboratory and industrial problems of MHD belong to the low-Rm range in which the acting B is the applied one, which drastically simplifies the determination of f L . This richness in topics on various length scales, including geo-and astrophysical problems as well a

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Section: Electromagnetic Flow Control In Casting and Solidificationmentioning

confidence: 99%

Electromagnetic flow control in metallurgy, crystal growth and electrochemistry

Gerbeth

Eckert

Odenbach

2013

Eur. Phys. J. Spec. Top.

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“…Cramer et al [ 18 ] experimentally explored the effect of the SMF superimposed by the RMF and SMF on fluid flow, and proposed that the stirring intensity of two magnetic fields under the same frequency is two orders of magnitude lower than that under different frequencies. Stiller et al [ 19,20 ] believed that the RMF plays a dominant role in spiral stirring generated by the superposition of magnetic fields of different frequencies, while the TMF leads to uneven distribution of fluid momentum and breaks the symmetry of the magnetic field. Zhao et al [ 21 ] studied the effects of the RMF and SMF on the macrostructure and composition segregation of Pb–80%Sn alloy, respectively, and the results showed that the SMF has a more obvious effect on improving the componential homogeneity and refining the macrostructure grain in a larger area.…”

Section: Introductionmentioning

confidence: 99%

Study on Stirring Effect of Spiral Magnetic Field in Continuous Casting of Round Blooms

Zhang,

Xu,

Lei

et al. 2023

steel research int.

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In this paper, for the continuous casting of round blooms with strand electromagnetic stirring, the effects of rotating magnetic field (RMF) and spiral magnetic field (SMF) on the electromagnetic, fluid flow, heat transfer, solidification and macrostructure were investigated by numerical simulation and industrial experiments, respectively. The results show that the molten steel flows in a spiral shape along the casting direction with the RMF and SMF. Due to the influence of secondary flow caused by electromagnetic stirring (EMS), and the zone of high velocity of molten steel accounts for 13.7% of the whole stirring range with the RMF. The SMF has a strong stirring effect in the whole range of secondary flow, the zone of high velocity of molten steel accounts for 49.1% of the whole stirring range, and the liquid fraction of the SMF at the liquid core is also lower. The results of the industrial experiments prove that the SMF has a wider stirring depth than the RMF, and the center crack range is significantly reduced.This article is protected by copyright. All rights reserved.

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“…Таким образом, организуя в жидкой фазе слитка азимутальные и меридиональные перемешивающие течения и управляя их интенсивностью, можно влиять на качество получаемых слитков. Использование как бегущего, так и вращающегося магнитных полей [16] с возможностью их раздельной регулировки является современной технологией мирового уровня.…”

Section: Introductionunclassified

“…Ускорить анализ аппарата позволяет численное моделирование. Существуют различные подходы к моделированию электродинамики и кристаллизации, например, моделирование твердожидкой фазы при помощи пористой среды [16][17][18] или использования теории фазового поля [19]. Так или иначе, любая математическая модель требует наличия данных для ее верификации.…”

Section: Introductionunclassified

Electromagnetic liquid metal stirrer: verification of the electromagnetic part of the problem

Kolesnichenko¹,

Mamykin²,

Khalilov³

2022

Вест.ПГУ. Физика

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We studied a numerical model describing electromagnetic forces that arise in a cylindrical volume of metal placed in the working area of a newly designed electromagnetic stirrer. The combined use of a complex-shaped inductor with a set of 6x6 coils and a power management system makes it possible to generate magnetic fields of almost any topology (in the simplest case, traveling and rotating magnetic fields). To verify the numerical model, we created an experimental setup consisting of an inductor and measuring systems. A good agreement has been achieved between the experimental and numerical data on the distribution of the magnetic field and the magnitude of the generated electromagnetic forces. In particular, the maximum of the curve showing dependence of the moment of the electromagnetic force on the frequency of alternating current is reproduced with good accuracy. The effect of rotation of an electrically conductive medium on the moment of the electromagnetic force acting on this medium was studied numerically. By analyzing the extrema of the moments of electromagnetic forces, we have found the dependence of the frequency of the supply voltage of the windings, which ensures the maximum moment of electromagnetic forces during the rotation of the electrically conductive medium, on the rotation frequency of the medium.

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Liquid metal flows driven by rotating and traveling magnetic fields

Cited by 34 publications

References 31 publications

Electromagnetic flow control in metallurgy, crystal growth and electrochemistry

Electromagnetic flow control in metallurgy, crystal growth and electrochemistry

Study on Stirring Effect of Spiral Magnetic Field in Continuous Casting of Round Blooms

Electromagnetic liquid metal stirrer: verification of the electromagnetic part of the problem

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