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

Galindo, Vladimir; Grants, I.; Lantzsch, R.; Pätzold, O.; Gerbeth, Günter

doi:10.1016/j.jcrysgro.2006.11.194

Cited by 33 publications

(18 citation statements)

References 10 publications

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“…They include the case of higher shielding parameter, but are restricted to an infinitely long conducting cylinder. As expected, the latter causes increasing deviations between numerically obtained Lorentz force distributions and such analytical approximations, as it has been analyzed in more detail recently [16]. The TMF Lorentz force solution for finite height cylinders [15] is no more an analytical one but requires numerical treatment.…”

Section: Electromagnetic Forcesmentioning

confidence: 75%

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

Lantzsch

Galindo

Grants

et al. 2007

Journal of Crystal Growth

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Section: Electromagnetic Forcesmentioning

confidence: 75%

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

Lantzsch

Galindo

Grants

et al. 2007

Journal of Crystal Growth

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“…We noted that for F > F cr the flow was not only unsteady but also three-dimensional after the startup. [11] Nevertheless, it makes sense to estimate the global mixing time by means of the present 2D model. This knowledge can be helpful when preparing experiments or 3D simulations.…”

Section: Mixing Using Tmfmentioning

confidence: 99%

“…RMF and TMF fields are used widely for experimental studies of the influence a liquid phase motion has on heat and mass transfer during crystal growth [2,[8][9][10]11] and solidification of metal alloys. [3,4,12] In such experiments, it is necessary that all alloy components are distributed homogeneously in the melt.…”

Section: Introductionmentioning

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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“…Some aspects of the flow driven by a traveling magnetic field (TMF) in liquid GaInSn, which can be used as an electrically conducting model fluid, were recently reported [6,7]. In this paper we present VGF-TMF grown Ge:Ga single crystals.…”

Section: Introductionmentioning

confidence: 98%