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Published in: Metallurgical and Materials Transactions B 4/2023

28-04-2023 | Original Research Article

Modeling and Characterization of Surface Deformation and Current Distribution of Molten Droplets Under Electromagnetic Levitation

Authors: Qi Jiang, Guifang Zhang, Xin Qi, Alexander McLean

Published in: Metallurgical and Materials Transactions B | Issue 4/2023

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Abstract

Electromagnetic levitation technology is used in the preparation of new materials and the study of metallurgical reactions. However, the surface deformation of droplets in the levitation process can introduce errors in the experimental measurements. The modeling and characterization of molten droplet surface deformation and current distribution under electromagnetic levitation are studied in this paper. The results show that under the influence of surface tension or other factors such as electromagnetic force, molten droplets will oscillate and deform, before finally attaining a relatively stable configuration. Under the conditions of the present work, the relationship between surface current density and applied current is y = 142.65 x2 + 35,998.53 x + 1.14 × 108 and the deformation ratio of the droplet (longitudinal diameter/transverse diameter) is least when the applied current is 470 A. When the current is less than 470 A, the longitudinal diameter of the droplet is greater than the transverse diameter. However, when the current is greater than 470 A, the transverse diameter is greater than the longitudinal diameter.

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Literature
1.
go back to reference L. Gao, Z. Shi, D.H. Li, G.F. Zhang, Y.D. Yang, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 537–47.CrossRef L. Gao, Z. Shi, D.H. Li, G.F. Zhang, Y.D. Yang, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 537–47.CrossRef
2.
go back to reference P. Yan, G.F. Zhang, Y.D. Yang, and A. McLean: Metall. Mater. Trans. B, 2020, vol. 51B, pp. 247–57.CrossRef P. Yan, G.F. Zhang, Y.D. Yang, and A. McLean: Metall. Mater. Trans. B, 2020, vol. 51B, pp. 247–57.CrossRef
3.
4.
go back to reference R.K. Wunderlich, M. Mohr, Y. Dong, U. Hecht, D.M. Matson, R. Hyers, G. Bracker, J. Lee, S. Schneider, X. Xiao, and H. Fecht: Int. J. Mater. Res., 2021, vol. 112, pp. 770–81.CrossRef R.K. Wunderlich, M. Mohr, Y. Dong, U. Hecht, D.M. Matson, R. Hyers, G. Bracker, J. Lee, S. Schneider, X. Xiao, and H. Fecht: Int. J. Mater. Res., 2021, vol. 112, pp. 770–81.CrossRef
5.
go back to reference D.M. Matson, X. Xiao, J.E. Rodriguez, J. Lee, R.W. Hyers, O. Shuleahova, I. Kaban, S. Schneider, C. Karrasch, S. Burggraff, R. Wunderlich, and H.J. Fecht: JOM, 2017, vol. 69, pp. 1311–8.CrossRef D.M. Matson, X. Xiao, J.E. Rodriguez, J. Lee, R.W. Hyers, O. Shuleahova, I. Kaban, S. Schneider, C. Karrasch, S. Burggraff, R. Wunderlich, and H.J. Fecht: JOM, 2017, vol. 69, pp. 1311–8.CrossRef
6.
go back to reference D.M. Matson, X. Xiao, J. Rodriguez, and R.K. Wunderlich: Int. J. Microgravity S, 2016, vol. 3, p. 330206. D.M. Matson, X. Xiao, J. Rodriguez, and R.K. Wunderlich: Int. J. Microgravity S, 2016, vol. 3, p. 330206.
7.
go back to reference M. Watanabe, J. Takano, M. Adachi, M. Uchikoshi, and H. Fukuyama: J. Chem. Thermodyn., 2018, vol. 121, pp. 145–52.CrossRef M. Watanabe, J. Takano, M. Adachi, M. Uchikoshi, and H. Fukuyama: J. Chem. Thermodyn., 2018, vol. 121, pp. 145–52.CrossRef
8.
go back to reference K. Zhou, H.P. Wang, and B. Wei: Chem. Phys. Lett., 2012, vol. 521, pp. 52–4.CrossRef K. Zhou, H.P. Wang, and B. Wei: Chem. Phys. Lett., 2012, vol. 521, pp. 52–4.CrossRef
10.
go back to reference J. Lee, D.M. Maston, S. Binder, M. Kolbe, D. Herlach, and R.W. Hyers: Metall. Mater. Trans. B, 2014, vol. 45B, pp. 1018–24.CrossRef J. Lee, D.M. Maston, S. Binder, M. Kolbe, D. Herlach, and R.W. Hyers: Metall. Mater. Trans. B, 2014, vol. 45B, pp. 1018–24.CrossRef
11.
go back to reference X. Cai, H.P. Wang, and B. Wei: Int. J. Heat Mass Transf., 2020, vol. 151, p. 119386.CrossRef X. Cai, H.P. Wang, and B. Wei: Int. J. Heat Mass Transf., 2020, vol. 151, p. 119386.CrossRef
12.
go back to reference L. Gao, Z. Shi, Y.D. Yang, D.H. Li, G.F. Zhang, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2018, vol. 49B, pp. 1985–94.CrossRef L. Gao, Z. Shi, Y.D. Yang, D.H. Li, G.F. Zhang, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2018, vol. 49B, pp. 1985–94.CrossRef
13.
go back to reference P. Wu, Y.D. Yang, M. Barati, and A. McLean: Metall. Mater. Trans. B, 2014, vol. 45B, pp. 1974–78.CrossRef P. Wu, Y.D. Yang, M. Barati, and A. McLean: Metall. Mater. Trans. B, 2014, vol. 45B, pp. 1974–78.CrossRef
14.
go back to reference K. Le, Y.D. Yang, M. Barati, and A. McLean: Metall. Mater. Trans. B, 2018, vol. 49B, pp. 1658–64.CrossRef K. Le, Y.D. Yang, M. Barati, and A. McLean: Metall. Mater. Trans. B, 2018, vol. 49B, pp. 1658–64.CrossRef
15.
go back to reference Q. Jiang, G.F. Zhang, Y.D. Yang, and A. McLean: Metall. Mater. Trans. B, 2021, vol. 52B, pp. 305–13.CrossRef Q. Jiang, G.F. Zhang, Y.D. Yang, and A. McLean: Metall. Mater. Trans. B, 2021, vol. 52B, pp. 305–13.CrossRef
16.
go back to reference Q. Jiang, G.F. Zhang, Y.D. Yang, A. McLean, and L. Gao: Metals, 2021, vol. 11, p. 1460.CrossRef Q. Jiang, G.F. Zhang, Y.D. Yang, A. McLean, and L. Gao: Metals, 2021, vol. 11, p. 1460.CrossRef
17.
go back to reference P. Yan, G.F. Zhang, Y.D. Yang, and A. McLean: Int J Heat Mass Transf., 2020, vol. 163, p. 120489.CrossRef P. Yan, G.F. Zhang, Y.D. Yang, and A. McLean: Int J Heat Mass Transf., 2020, vol. 163, p. 120489.CrossRef
18.
go back to reference L. Feng and W.Y. Shi: Int. J. Heat Mass Transf., 2018, vol. 122, pp. 69–77.CrossRef L. Feng and W.Y. Shi: Int. J. Heat Mass Transf., 2018, vol. 122, pp. 69–77.CrossRef
19.
go back to reference K.A. Baldwin, S.L. Butler, and R.J.A. Hill: Sci. Rep-UK, 2015, vol. 5, p. 7660.CrossRef K.A. Baldwin, S.L. Butler, and R.J.A. Hill: Sci. Rep-UK, 2015, vol. 5, p. 7660.CrossRef
20.
go back to reference S. Krishnan, G.P. Hansen, R.H. Hauge, and J.L. Margrave: Metall. Mater. Trans. B, 1998, vol. 19B, pp. 1939–43. S. Krishnan, G.P. Hansen, R.H. Hauge, and J.L. Margrave: Metall. Mater. Trans. B, 1998, vol. 19B, pp. 1939–43.
21.
go back to reference P. Chapelle, A. Jardy, D. Ablitzer, Y.M. Pomarin, and G.M. Grigorenko: J. Mater. Sci., 2008, vol. 43, pp. 3001–08.CrossRef P. Chapelle, A. Jardy, D. Ablitzer, Y.M. Pomarin, and G.M. Grigorenko: J. Mater. Sci., 2008, vol. 43, pp. 3001–08.CrossRef
22.
23.
go back to reference H. Fujii, T. Matsumoto, and K. Nogi: Acta Mater., 2000, vol. 48, pp. 2933–39.CrossRef H. Fujii, T. Matsumoto, and K. Nogi: Acta Mater., 2000, vol. 48, pp. 2933–39.CrossRef
24.
go back to reference L. Feng and W.Y. Shi: Metall. Mater. Trans. B, 2015, vol. 46B, pp. 1895–901.CrossRef L. Feng and W.Y. Shi: Metall. Mater. Trans. B, 2015, vol. 46B, pp. 1895–901.CrossRef
25.
go back to reference V. Bojarevics, A. Roy, and K.A. Pericleous: Magnetohydrodynamics, 2010, vol. 46, pp. 317–29.CrossRef V. Bojarevics, A. Roy, and K.A. Pericleous: Magnetohydrodynamics, 2010, vol. 46, pp. 317–29.CrossRef
26.
go back to reference V. Bojarevics and K. Pericleous: Fluid Mechanics and Its Applications, Springer, Dordrecht, 2007, pp. 357–74. V. Bojarevics and K. Pericleous: Fluid Mechanics and Its Applications, Springer, Dordrecht, 2007, pp. 357–74.
27.
go back to reference V. Bojarevics, A. Kao, and K. Pericleous: Solidification of Containerless Undercooled Melts, 1st ed. Wiley-VCH, New Jersey, 2012, pp. 321–48.CrossRef V. Bojarevics, A. Kao, and K. Pericleous: Solidification of Containerless Undercooled Melts, 1st ed. Wiley-VCH, New Jersey, 2012, pp. 321–48.CrossRef
28.
29.
go back to reference L. Gao, Z. Shi, D.H. Li, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 1905–915.CrossRef L. Gao, Z. Shi, D.H. Li, A. McLean, and K. Chattopadhyay: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 1905–915.CrossRef
30.
go back to reference F. Lin and W.Y. Shi: Int. Commun. Heat Mass, 2021, vol. 130, p. 105766. F. Lin and W.Y. Shi: Int. Commun. Heat Mass, 2021, vol. 130, p. 105766.
31.
go back to reference S. Berry, R.W. Hyers, B. Abedian, and L.M. Racz: Metall. Mater. Trans. B, 2000, vol. 31, pp. 171–78.CrossRef S. Berry, R.W. Hyers, B. Abedian, and L.M. Racz: Metall. Mater. Trans. B, 2000, vol. 31, pp. 171–78.CrossRef
32.
go back to reference S.R. Berry, R.W. Hyers, L.M. Racz, and B. Abedian: Int. J. Thermophys., 2005, vol. 26, pp. 1565–581.CrossRef S.R. Berry, R.W. Hyers, L.M. Racz, and B. Abedian: Int. J. Thermophys., 2005, vol. 26, pp. 1565–581.CrossRef
33.
go back to reference J. Donea, A. Huerta, and JPh. Ponthot: A: Rodríguez-Ferran, Arbitrary Lagrangian Eulerian methods, Wiley & Sons, New York, 2004, pp. 413–34. J. Donea, A. Huerta, and JPh. Ponthot: A: Rodríguez-Ferran, Arbitrary Lagrangian Eulerian methods, Wiley & Sons, New York, 2004, pp. 413–34.
34.
go back to reference T.S. Wang and W.Y. Shi: Int. J. Heat Mass Trans., 2019, vol. 131, pp. 1270–278.CrossRef T.S. Wang and W.Y. Shi: Int. J. Heat Mass Trans., 2019, vol. 131, pp. 1270–278.CrossRef
35.
go back to reference Y. Ido, H. Nakagawa, T. Kunitomo, and H. Kawai: Int. J. Appl. Electrom., 2008, vol. 28, pp. 33–9. Y. Ido, H. Nakagawa, T. Kunitomo, and H. Kawai: Int. J. Appl. Electrom., 2008, vol. 28, pp. 33–9.
36.
go back to reference H.L. Li, S.H. Wang, H.Y. He, Y.P. Huangfu, and J.G. Zhu: IEEE Trans. Magn., 2016, vol. 52, pp. 1–4. H.L. Li, S.H. Wang, H.Y. He, Y.P. Huangfu, and J.G. Zhu: IEEE Trans. Magn., 2016, vol. 52, pp. 1–4.
37.
go back to reference S. Spitans, E. Baake, B. Nacke, and A. Jakovičs: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 522–36.CrossRef S. Spitans, E. Baake, B. Nacke, and A. Jakovičs: Metall. Mater. Trans. B, 2016, vol. 47B, pp. 522–36.CrossRef
Metadata
Title
Modeling and Characterization of Surface Deformation and Current Distribution of Molten Droplets Under Electromagnetic Levitation
Authors
Qi Jiang
Guifang Zhang
Xin Qi
Alexander McLean
Publication date
28-04-2023
Publisher
Springer US
Published in
Metallurgical and Materials Transactions B / Issue 4/2023
Print ISSN: 1073-5615
Electronic ISSN: 1543-1916
DOI
https://doi.org/10.1007/s11663-023-02794-5

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