The Influence of Liquid–Solid Interface Position and Shape on the Electromagnetic Forcing Parameter During Horizontal Solidification

Shvydkiy, Evgeniy; Sokolov, Igor; Kolesnichenko, I.; Losev, G.

doi:10.1007/s11663-021-02165-y

Cited by 2 publications

(2 citation statements)

References 25 publications

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“…This method uses the external alternating magnetic fields to contactlessly generate the EM forces into the liquid metal [28]. To derive the value of electromagnetic forces to a dimensionless form and compare them with buoyancy forces, the dimensionless electromagnetic forcing parameter is introduced [29].…”

Section: Introductionmentioning

confidence: 99%

Interaction of Vertical Convection with an Electromagnetically Forced Flow

Shvydkiy¹,

Smolyanov²,

Baake³

2022

Preprint

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Heat and momentum transfer of low-Prandtl-number fluid (P r = 0.029) in a closed rectangular cavity (100 × 60 × 10 mm 3 ) heated at one side and cooled at the opposite side are analyzed. The electromagnetic forces into the liquid metal are generated by the travelling magnetic field inductor and directed towards buoyancy forces. Large eddy simulations are performed with the Grashof number Gr from 1.9 • 10 5 to 7.6 • 10 7 and the electromagnetic forcing parameter F from 2.6 • 10 4 to 2.6 • 10 6 . An experimental validation of the simulation results of vertical convection and electromagnetically driven flow using GaInSn alloy has been performed. Three types of flow patterns are obtained for different interaction parameters N = F/Gr: counterclockwise flow, clockwise flow, and coexistence of two vortices. Analysis of the Reynolds number shows that the transition zone from natural convection to electromagnetic stirring lies in the range 0.02 < F/Gr < 0.07 and two braking modes are found. The transition point between the convective heat transfer regimes is found for F/Gr around 1. The analysis of isotherms deformation showed that in such convective systems it is possible to achieve minimum deviation of the isotherm shape from a straight line in the range of 0.05 < F/Gr < 0.2.

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Section: Introductionmentioning

confidence: 99%

Interaction of Vertical Convection with an Electromagnetically Forced Flow

Shvydkiy¹,

Smolyanov²,

Baake³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…To bring the value of electromagnetic forces to a dimensionless form and compare them with buoyancy forces, the dimensionless electromagnetic forcing parameter is introduced [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the EM forced flow during Sn-Pb alloy directional horizontal solidification

Shvydkiy¹,

Smolyanov²,

Baake³

2022

Preprint

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This article presents a study of the influence of electromagnetically (EM) forced convection on segregation formation. As a reference case the solidification of Sn-5 wt pct Pb alloy from the Hebditch and Hunt experiment is taken. Applied forcing of convective flow is determined by the dimensionless electromagnetic forcing parameter F . The study was carried out in the range −3.5 × 10 6 < F < 3.5 × 10 6 . Velocity profiles and flow patterns in the liquid phase are obtained for different applied EM forcing conditions. As a result of parametric analysis, the dependence of the Reynolds number on the electromagnetic forcing parameter was obtained. Electromagnetic forces can significantly affect the flow in the liquid bulk, increasing and slowing down the velocity, as well as changing the circulating flow direction. Solute concentration distribution analysis has shown that EM-forced convection does not affect global solute segregation formation. For the two cases, segregation channels were obtained. However, the analysis of the global segregation index showed that an increase in the Reynolds number provokes a slight decrease in this parameter. The main mechanism of segregation formation is transport of solute rich liquid into the mushy zone. In considered numerical experiment configuration, the penetration into the mushy zone is not large, and even a change in the direction of convection in the liquid bulk does not significantly affect the mushy zone flow. The calculations were made by means of open source code in OpenFOAM and Elmer.

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The Influence of Liquid–Solid Interface Position and Shape on the Electromagnetic Forcing Parameter During Horizontal Solidification

Cited by 2 publications

References 25 publications

Interaction of Vertical Convection with an Electromagnetically Forced Flow

Interaction of Vertical Convection with an Electromagnetically Forced Flow

Numerical simulation of the EM forced flow during Sn-Pb alloy directional horizontal solidification

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