Experimental and numerical results on the fluid flow driven by a traveling magnetic field

Lantzsch, R.; Galindo, Vladimir; Grants, I.; Zhang, C.; Pätzold, O.; Gerbeth, Günter; Stelter, Michael

doi:10.1016/j.jcrysgro.2007.03.047

Cited by 52 publications

(43 citation statements)

References 12 publications

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“…Figure 2(e) shows that the ANS are in accordance with the experiments. To validate our model for TMF, we used experimental data published recently by Lantzsch et al [36] According to the experiment, numerical simulations were performed for R 0 = H 0 , S = 1, and F = 2.1 9 10 5 . From Figure 3, agreement is observed between numerical and experimental results.…”

Section: Numerical Scheme and Validation Testsmentioning

confidence: 99%

Contactless Mixing of Liquid Metals

Nikrityuk

Eckert

Grundmann

2009

Metall Mater Trans B

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This work is devoted to the numerical study of mixing two miscible liquid metals, e.g., Sn and Pb, that are driven either separately by a rotating magnetic field (RMF), by a traveling magnetic field (TMF), or by a combination of both fields from the state of rest. The geometry studied is an enclosed cylindrical cavity with an aspect ratio equal to unity (the diameter of the cylinder is equal to its height, 2R 0 = H 0 ). The initial condition is a cylinder with the lower half filled with a melt that has two times the molecular viscosity of the liquid in the upper part of the cavity. Based on the mixture model of the two-fluid flow and the axisymmetric Navier-Stokes equations, the transient transport of momentum as well as the species for rotary and axial stirring is modeled. The numerical simulations were performed under microgravity conditions for Ekman numbers between 10 À3 and 10 À4 for the RMF-driven flow and for Reynolds numbers between 100 and 400 for TMF-driven flow that corresponded to both laminar and weak turbulent flows. The simulations analysis showed that for RMF, the rapid increase in the mixing rate occurs because of randomly appearing Taylor-Go¨rtler vortices that move up and down along the side wall of the cylinder and that dissipate in the Bo¨dewadt layers. The TMF stirring with forcing parameters that produced laminar flow offers a better mixing performance than the RMF stirring at the same magnetic field intensity. However, with an increase in magnetic forcing, the RMF and TMF lead to comparable mixing times for the same value of magnetic field induction. Additionally, we discuss different mixing scenarios that include the use of time-modulated RMF and TMF. Numerical simulations showed that the discontinuous superposition of RMF and TMF-defined as the sequential switching on and off of both fields with a well-defined period-enhances the mixing in comparison with the non-superimposed case.

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Section: Numerical Scheme and Validation Testsmentioning

confidence: 99%

Contactless Mixing of Liquid Metals

Nikrityuk

Eckert

Grundmann

2009

Metall Mater Trans B

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“…The TMF coil system under consideration is installed in parallel at a newly developed VGF crystal growth facility (see Fig. 1(a)), and first results with Ga-doped germanium crystals have recently been reported [5].…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental modeling of the melt flow in a traveling magnetic field for vertical gradient freeze crystal growth

Galindo

Grants

Lantzsch

et al. 2007

Journal of Crystal Growth

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“…In case of an upward TMF, larger values of the velocity were measured in the lower part of the cylinder, whereas the inverted situation can be observed in a downward TMF. Figures 2(c) and (d) show profiles of the vertical liquid velocity, U L , along the container axis for different values of the forcing parameter F. This deviation from the vertical symmetry, as it was already found at lower values of F, [18,20] becomes stronger with increasing F. This phenomenon is caused by the braking effect of the side wall shear layers on the ascending or descending flow near the rim.…”

Section: A Single-phase Tmf Flowmentioning

confidence: 58%

“…In that case, the magnetic field is already slightly expelled from the melt because of the skin effect. [18] However, S is still small enough, that the axial component of the electromagnetic force in Eq. [3] clearly dominates in comparison with the upcoming radial component.…”

Section: ½1mentioning

confidence: 99%

“…Several numerical and experimental studies on the TMF-driven flows have been published recently, mainly stimulated by an increasing interest in effective flow control in crystal growth processes. [17][18][19] These investigations were especially focused on the basic TMF-induced flow and its instabilities. [20] Electromagnetic stirring and gas injection have usually been considered as competing technologies for melt stirring and mixing so far.…”

Section: Introductionmentioning

confidence: 99%

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The Impact of a Vertically Travelling Magnetic Field on the Flow in a Cylindrical Liquid Metal Bubble Plume

Zhang

Eckert

Gerbeth

2009

Metall Mater Trans B

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This article describes laboratory experiments for the investigations of flow structures and related transport processes in liquid metal bubbly flows under the influence of a traveling magnetic field (TMF). The melt flow is driven by central gas injection into a cylindrical container filled with the low-melting-point alloy GaInSn. The velocity fields of both the liquid and the gaseous phase were measured nonintrusively using the ultrasound Doppler method. Depending on the traveling direction of the magnetic field, the TMF mainly imposes either a concurrent flow or counterflow with respect to the original bubble-driven circulation. In general, the application of a downward TMF significantly increases the liquid velocity all over the fluid volume. An upward TMF gives rise to the more complex structures of the velocity field resulting in alternately arranged upstream and downstream regions. Both the upward and downward TMF promote the occurrence of nonsteady motions with distinct velocity fluctuations leading to an intensification of related transport processes in the melt and providing the perspective of enhanced mixing efficiencies.

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Experimental and numerical results on the fluid flow driven by a traveling magnetic field

Cited by 52 publications

References 12 publications

Contactless Mixing of Liquid Metals

Contactless Mixing of Liquid Metals

Numerical and experimental modeling of the melt flow in a traveling magnetic field for vertical gradient freeze crystal growth

The Impact of a Vertically Travelling Magnetic Field on the Flow in a Cylindrical Liquid Metal Bubble Plume

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