Abstract
Liquid metal magnetohydrodynamic flow driven by a rotating permanent helical magnetic field in a cylindrical container is numerically studied. A three-dimensional numerical simulation provides insight into the visualization of the physical fields, including the magnetic field, the Lorentz force density, and the flow structures, especially the flow patterns in the meridional plane. Because the screen parameter is sufficiently small, the model is decoupled into electromagnetic and hydrodynamic components. Two flow patterns in the meridional plane, i.e., the global flow and the secondary flow, are discovered and the impact of several system parameters on their transition is investigated. Finally, a verifying model is used for comparison with the previous experiment.
Similar content being viewed by others
References
X.D. Wang, Y. Fautrelle, J. Etay, and R. Moreau: Metall. Mater. Trans. B, 2009, vol. 40B, pp. 82-90.
X.D. Wang, A. Ciobanas, F. Baltaretu, A.M. Bianchi, and Y. Fautrelle: Mater. Sci. Forum., 2006, vol. 508, pp. 163-68.
S. Eckert, P.A. Nikrityuk, D. Raebiger, K. Eckert, and G. Gerbeth: Metall. Mater. Trans. B, 2007, vol. 38B, pp. 977-88.
B. Willers, S. Eckert, P. A. Nikrityuk, D. Raebiger, J. Dong, K. Eckert, and G. Gerbeth: Metall. Mater. Trans. B, 2008, vol. 39B, pp. 304-316.
I. Grants and G. Gerbeth: J. Cryst. Growth., 2004, vol. 269, pp. 630-38.
I. Grants, C. Zhang, S. Eckert, and G. Gerbeth: J. Fluid Mech., 2008, vol. 616, pp. 135-52.
I. Kolesnichenko, A. Pavlinov, E. Golbraikh, P. Frick, A. Kapusta, and B. Mikhailovich: Exp. Fluids, 2015, vol. 56, pp. 1-11.
J. Stiller, K. Koal, W.E. Nagel, J. Pal, and A. Cramer: Eur. Phys. J. Spec. Topics, 2013, vol. 220, pp. 111-22.
A. Cramer, J. Pal, and G. Gerbeth: Phys. Fluids., 2007, vol. 19, pp. 118109-1–118109-4.
X.D. Wang, T.J. Li, Y. Fautrelle, M.D. Dupouy, and J.Z. Jin: J. Cryst. Growth., 2005, vol. 275, pp. E1473-79.
O. Ben-David, A. Levy, B. Mikhailovich, and A. Azulay: Phys. Fluids., 2014, vol. 26, pp. 097104-1.
C.N. Vives, J. Bas, G. Beltran, and G. Fontaine: Mater. Sci. Eng., 1993, vol. 173, pp. 239-42.
C.N. Vives: Metall. Trans. B, 1993, vol. 24B, pp. 493-510.
C.N. Vives: Magnetohydrodynamics, 1996, vol. 32, pp. 201-06.
B. Wang, X.D. Wang, J. Etay, X. Zhang, X. Na, and Y. Fautrelle: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 1369-77.
X.D. Wang and Y. Kolesnikov: Magnetohydrodynamics, 2014, vol. 50, pp. 139-56.
L.M. Witkowski, J.S. Walker, and P. Marty: Phys. Fluids., 1999, vol. 11, pp. 1821-26.
H.K. Moffatt: J. Fluid Mech., 1965, vol. 22, pp. 521-28.
Acknowledgments
X.D. Wang acknowledge the support of the Chinese Academy of Sciences (CAS) in the form of the “One Hundred Talented People” program (No. 111800M105 & Y32901FEA2) and CAS funding (XDA04078400).
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted December 23, 2015.
Rights and permissions
About this article
Cite this article
Yang, W., Wang, X., Wang, B. et al. Numerical Study of Flow Motion and Patterns Driven by a Rotating Permanent Helical Magnetic Field. Metall Mater Trans B 47, 2771–2784 (2016). https://doi.org/10.1007/s11663-016-0762-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11663-016-0762-2