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Numerical Simulation of Laminar-Turbulent Transition in Magnetohydrodynamic Convection in an Electromagnetically Levitated Molten Droplet of Cu-Co Alloys Under a Static Magnetic Field

Abstract

Direct numerical simulations were carried out to investigate three-dimensional, unsteady magnetohydrodynamic (MHD) convection in a spherical electromagnetically levitated molten Cu-Co droplet with a diameter of 5 mm under different strengths of the static magnetic field. The strength of the static magnetic field ranged from 0 to 3 T. MHD convection under lower static magnetic fields presented turbulent flow. The velocities in the levitated droplet decreased with increasing strength of the static magnetic field. At more than 1.5 T, the convective flow pattern became axisymmetric and the turbulent energy reached almost zero, i.e., MHD convection presented laminar flow. Comparisons of the present numerical results with past experimental results demonstrated that the marked change in phase separation structures in undercooled Cu-Co alloys at 1.0 to 1.5 T was closely related to the laminar-turbulent transition of MHD convection in the levitated droplet.

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Acknowledgment

This study was supported by the Iron and Steel Institute of Japan (ISIJ) Research Promotion Grant and JSPS Grant-in-Aid for Scientific Research (B) 19H02493. The numerical simulations were performed on the Supercomputer system “AFI-NITY” at the Advanced Fluid Information Research Center, Institute of Fluid Science, Tohoku University. We would also like to thank Dr. Lin Feng (Chongqing University, China) for his help in creating the finite volume grids used for the fluid dynamics simulation.

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Correspondence to Eita Shoji.

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Manuscript submitted April 28, 2020; accepted December 18, 2020.

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Shoji, E., Tanada, K., Takahashi, R. et al. Numerical Simulation of Laminar-Turbulent Transition in Magnetohydrodynamic Convection in an Electromagnetically Levitated Molten Droplet of Cu-Co Alloys Under a Static Magnetic Field. Metall Mater Trans B 52, 896–902 (2021). https://doi.org/10.1007/s11663-021-02063-3

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  • DOI: https://doi.org/10.1007/s11663-021-02063-3