Abstract
In this paper, a modulated permanent helical magnetic field is imposed to improve segregation during directional solidification in a binary Sn–3.5 wt pct Pb alloy. The magnetic force created by this magnetic field significantly interferes with heat, mass and momentum transfer of molten metal during solidification. Our experimental results show that this magnetic field, with an appropriate modulation frequency, can not only promote columnar-to-equiaxed transition (CET) but also significantly reduce solute segregation otherwise caused by conventional helical magnetic fields. Our analysis demonstrates the advantages of this approach over natural convection and conventional electromagnetically forced convection.
Similar content being viewed by others
References
A. Ghosh: Sadhana., 2001, vol. 26, pp. 5–24.
G.M. Poole, M. Heyen, L. Nastac, and N. El-Kaddah: Metall. Mater. Trans. B., 2014, vol. 45B, pp. 1834–41.
C.M. Flemings: ISIJ Int., 2000, vol. 40, pp. 838–41.
C. Beckermann: Modeling of Macrosegregation: Past, Present and Future, Boston, 2000, pp. 297–310.
B.Q. Li: JOM-e., 1998, vol. 50, pp. 1–10.
J. Campbell and O. Freng: Castings, 2nd ed. Elsevier, Amsterdam, 2003.
S. Kobayashi: J. Cryst. Growth., 1988, vol. 88, pp. 87–96.
G. Quillet, A. Ciobanas, P. Lehmann, and Y. Fautrelle: Int. J. Heat Mass Transf., 2007, vol. 50, pp. 654–66.
L. Hachani, B. Saadi, X.D. Wang, A. Nouri, K. Zaidat, A. Belgacem-Bouzida, L. Ayouni-Derouiche, G. Raimondi, and Y. Fautrelle: Int. J. Heat Mass Transf., 2012, vol. 55, pp. 1986–96.
O. Bertrand, B. Binet, H. Combeau, S. Couturier, Y. Delannoy, D. Gobin, M. Lacroix, P. Le Quere, M. Medale, J. Mencinger, H. Sadat, and G. Vieira: Int. J. Therm. Sci., 1999, vol. 38, pp. 5–26.
S. Binder, P.K. Galenko, and D.M. Herlach: J. Appl. Phys., 2014, vol. 115, pp. 1022–110.
X.D. Wang and Y. Fautrelle: R. Moreau.: Int. J. Energy Environ. Eng., 2015, vol. 6, pp. 367–73.
P. Wu, B. Wang, and X.D. Wang: Mater. China., 2017, vol. 12, pp. 912–20.
V. Metan and K. Eigenfeld: Eur. Phys. J. Spec. Top., 2013, vol. 220, pp. 139–50.
X.D. Wang, P. Petitpas, C. Garnier, J.P. Paulin, and Y. Fautrelle: C R. acad. mech., 2007, vol. 5, pp. 1–6.
L. Hachani, K. Zaidat, and Y. Fautrelle: Int. J. Heat Mass Transf., 2015, vol. 85, pp. 438–54.
X. Li, Y. Fautrelle, A. Gagnoud, D. Du, and J. Wang: Z. Ren. Acta Mater., 2014, vol. 64, pp. 367–81.
C. Vives: Metall. Trans. B., 1993, vol. 24, pp. 493–510.
P.A. Davidson: Annu. Rev. Fluid Mech., 1999, vol. 31, pp. 273–300.
A.A. Tzavaras and H.D. Brody: J. Met., 1984, vol. 36, pp. 31–7.
D. Perrier, Y. Fautrelle, and J. Etay: Metall. Mater. Trans. B., 2003, vol. 34B, pp. 669–78.
S. Hu, A. Gagnoud, Y. Fautrelle, R. Moreau, and X. Li: Sci. Rep., 2018, vol. 8, p. 7945.
C. Li, S. Hu, Z. Ren, Y. Fautrelle, and X. Li: J. Mater. Sci. Technol., 2018, vol. 34, pp. 2431–8.
S. Eckert, P.A. Nikrityuk, D. Raebiger, K. Eckert, and G. Gerbeth: Metall. Mater. Trans. B., 2007, vol. 38B, pp. 977–88.
K. Zhang, Yi. Li, and Y. Yang: Acta Metall. Sin., 2020, vol. 33, pp. 1442–54.
B. Willers, S. Eckert, P.A. Nikrityuk, D. Raebiger, J. Dong, K. Eckert, and G. Gerbeth: Metall. Mater. Trans. B., 2008, vol. 39B, pp. 304–16.
X.D. Wang, Y. Fautrelle, J. Etay, and R. Moreau: Metall. Mater. Trans. B., 2009, vol. 40B, pp. 82–90.
X.D. Wang, R. Moreau, J. Etay, and Y. Fautrelle: Metall. Mater. Trans. B., 2009, vol. 40B, pp. 104–13.
T. Wu and L. Chao: J. Chin. Inst. Eng., 2020, vol. 43, pp. 397–403.
X.D. Wang, A. Ciobanas, F. Baltaretu, A.M. Bianchi, and Y. Fautrelle: Mater. Sci. Forum., 2006, vol. 508, pp. 163–8.
A. Noeppel, A. Ciobanas, X.D. Wang, K. Zaidat, N. Mangelinck, R. Moreau, A. Weiss, G. Zimmermann, and Y. Fautrelle: Metall. Mater. Trans. B., 2010, vol. 41B, pp. 193–208.
J. Stiller and K. Koal: J. Turbul., 2009, vol. 10, pp. 1–16.
Q. Zhao, C. Fang, X. Hou, Y. Han, N. Zhang, and X. Zhang: Spec. Cast. Nonferr. Alloys., 2011, vol. 31, pp. 495–500.
A. Cramer, J. Pal, and G. Gerbeth: Phys. Fluids., 2007, vol. 19, pp. 406–21.
I. Grants, C. Zhang, S. Eckert, and G. Gerbeth: J. Fluid Mech., 2008, vol. 616, pp. 135–52.
J.M.D. Coey: J. Magn. Magn. Mater., 2002, vol. 248, pp. 441–56.
I. Bucenieks, K. Kravalis, and R. Krishbergs: Magnetohydrodynamics., 2007, vol. 47, pp. 97–104.
Q. Yao, Z. Luo, Y. Li, F.Y. Yan, and R. Duan: Mater. Des., 2014, vol. 63, pp. 200–7.
J. Zeng, W. Chen, Y. Yang, and A. Mclean: Metall. Mater. Trans. B., 2017, vol. 48B, pp. 3083–100.
O. Ben-David, A. Levy, B. Mikhailovich, and A. Azulay: Int. J. Heat Mass Transf., 2015, vol. 81, pp. 373–82.
A. Bojarevics, T. Beinerts, M. Sarma, and Y. Gelfgat: J. Manuf. Sci. Prod., 2015, vol. 15, pp. 35–9.
J. Zeng, W. Chen, W. Yan, Y. Yang, and A. McLean: Mater. Des., 2016, vol. 108, pp. 364–73.
T. Li, X. Lin, and W. Huang: Acta Mater., 2006, vol. 54, pp. 4815–24.
X. Zhang, Q. Zhao, J. Guo, Q. Xing, L. Deng, X. Hou, and C. Fang: Acta Metall. Sin., 2013, vol. 26, pp. 345–51.
B. Wang, X.D. Wang, J. Etay, X.Z. Na, X.D. Zhang, and Y. Fautrelle: Metall. Mater. Trans. B., 2016, vol. 47B, pp. 1369–77.
B. Wang, X.D. Wang, Y. Fautrelle, J. Etay, X.Z. Na, and F. Baltaretu: Metall. Mater. Trans. B., 2016, vol. 47B, pp. 3476–88.
K. Kishitake, S. Nejihashi, H. Ioka, and T. Okamoto: J. Cryst. Growth 35., 1976, vol. 98, p. 104.
X. Wang, Y. Fautrelle, J. Etay, and R. Moreau: Metall. Mater. Trans. B., 2008, vol. 40B, pp. 82–90.
X.D. Wang, R. Moreau, J. Etay, and Y. Fautrelle: Metall. Mater. Trans. B., 2009, vol. 40B, p. 82.
Acknowledgments
This study was supported by the Industrial Strong Foundation Project (Grant No. DTCC28EE190929), the “Double First-Class” Construction Fund (Grant No. 111800XX62), and the Mechanical Engineering Discipline Construction Fund (Grant No. 111800M000).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Manuscript submitted April 24, 2021; accepted September 11, 2021.
Rights and permissions
About this article
Cite this article
Cheng, L., Hao, W., Liu, R. et al. Effect of Modulated Helical Magnetic Field on Solidifying Segregation of Sn–3.5 Wt Pct Pb Alloy in a Directional Solidification. Metall Mater Trans B 53, 71–83 (2022). https://doi.org/10.1007/s11663-021-02330-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11663-021-02330-3