Articles

Numerical study of heat transfer and solidification behavior of gas-atomized Fe-6.5%Si (mass fraction) droplets

  • Ke-Feng Li ,
  • Yun-Hu Zhang ,
  • Chang-Jiang Song ,
  • Qi-Jie Zhai
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  • State Key Laboratory of Advanced Special Steel, School of Materials Science and Engineering, Shanghai University, Shanghai 200072, People's Republic of China

Received date: 2015-07-15

  Revised date: 2016-05-03

  Online published: 2016-06-25

Abstract

During spray atomization process, the heat transfer and solidification of droplets play very important roles for the deposition quality. Due to the difficulties of experimental approach, a numerical model is developed, which integrates liquid undercooling, nucleation recalescence and post-recalescence growth to present the full solidification process of Fe-6.5%Si (mass fraction) droplet. The droplet velocity, temperature, cooling rate as well as solid fraction profiles are simulated for droplets with different sizes to demonstrate the critical role of the size effect during the solidification process of droplets. The relationship between the simulated cooling rate and the experimentally obtained secondary dendrite arm spacing is in excellent agreement with the well-established formula. The pre-constant and exponent values lie in the range of various rapid solidified Fe-based alloys reported, which indicates the validity of the numerical model.

Cite this article

Ke-Feng Li , Yun-Hu Zhang , Chang-Jiang Song , Qi-Jie Zhai . Numerical study of heat transfer and solidification behavior of gas-atomized Fe-6.5%Si (mass fraction) droplets[J]. Advances in Manufacturing, 2016 , 4(2) : 150 -156 . DOI: 10.1007/s40436-016-0141-x

References

1. Goertz M (1951) Iron-silicon alloys heat treated in a magnetic field. J Appl Phys 22(7):964-965
2. Carr WJ, Smoluchowski R Jr (1951) The magnetostriction of single crystals of iron-silicon alloys. Phys Rev 83(6):1236-1243
3. Takada Y, Abe M, Masuda S et al (1988) Commercial scale production of Fe-6.5 wt.% Si sheet and its magnetic properties. J Appl Phys 64(10):5367-5369
4. Yamashiro Y, Yoshida Y, Teshima N et al (1982) Thickness dependence of magnetic properties in rapidly quenched 6.5 percent silicon iron thin ribbons. IEEE Trans Magn 18(6):1421-1423
5. Kim KN, Pan LM, Lin JP et al (2004) The effect of boron content on the processing for Fe-6.5 wt% Si electrical steel sheets. J Magn Magn Mater 277(3):331-336
6. Li R, Shen Q, Zhang L et al (2004) Magnetic properties of high silicon iron sheet fabricated by direct powder rolling. J Magn Magn Mater 281(2-3):135-139
7. Fang XS, Liang Y, Ye F et al (2012) Cold rolled Fe-6.5 wt.% Si alloy foils with high magnetic induction. J Appl Phys 111(9):094913-094914
8. Yang L, Tian C, Zhang Y et al (2001) Spray forming processing of Fe-Si alloy deposit. Powder Metall Technol 19(6):354-357
9. Yang L, Tian C (2002) Microstructure and properties of Fe-4.5 wt% Si steel produced by spray forming and rolling. Mater Sci Technol 10(1):55-58
10. Bolfarini C, Silva MCA, Jorge AM Jr et al (2008) Magnetic properties of spray-formed Fe-6.5% Si and Fe-6.5% Si-1.0% Al after rolling and heat treatment. J Magn Magn Mater 320(20):e653-e656
11. McHugh KM, Delplanque JP, Lavernia EJ et al (2004) Spray rolling aluminum alloy strip. Mater Sci Eng A 383(1):96-106
12. McHugh KM, Lin Y, Zhou Y et al (2008) Microstructure evolution during spray rolling and heat treatment of 2124 Al. Mater Sci Eng A 477(1-2):26-34
13. Perepezko JH (1984) Nucleation in undercooled liquids. Mater Sci Eng 65(1):125-135
14. Saad MA (1985) Compressible fluid flow. Prentice-Hall, Englewood Cliffs
15. Lee ES, Ahn S (1994) Solidification progress and heat transfer analysis of gas-atomized alloy droplets during spray forming. Acta Metall Mater 42(9):3231-3243
16. Lu QQ, Fontaine JR, Aubertin G (1993) Numerical study of the solid particle motion in grid-generated turbulent flows. Int J Heat Mass Transf 36(1):79-87
17. Clift R, Grace JR, Weber ME (2005) Bubbles drops and particles. Dover Publications Incorporated, New York
18. Levi CG, Mehrabian R (1982) Heat flow during rapid solidification of undercooled metal droplets. Metall Trans A 13(2):221-234
19. Levi CG, Mehrbian R (1980) Heat flow in atomized metal droplets. Metall Trans B 11(1):21-27
20. Ranz WE, Marshall JR (1952) Evaporation from drops:part 1. Chem Eng Prog 48:141-146
21. Zeoli N, Gu S (2006) Numerical modelling of droplet break-up for gas atomisation. Comput Mater Sci 38(2):282-292
22. Mathur P, Apelian D, Lawley A (1989) Analysis of the spray deposition process. Acta Metall 37(2):429-443
23. Hirth JP (1978) Nucleation, undercooling and homogeneous structures in rapidly solidified powders. Metall Trans A 9(3):401-404
24. Bergmann D, Fritsching U, Bauckhage K (2000) A mathematical model for cooling and rapid solidification of molten metal droplets. Int J Therm Sci 39(1):53-62
25. Brody HD, Flemings MC (1966) Solute redistribution in dendritic solidification. Trans Metall Soc AIME 5:615-623
26. Kurz W, Fisher DJ (1998) Fundamentals of solidification. Trans Tech Publications, Uetikon-Zuerich
27. Pryds NH, Hattel JH, Thorborg J (1999) A quasi-stationary numerical model of atomized metal droplets. II:prediction and assessment. Model Simul Mater Sci Eng 7(3):431-446
28. Löser W, Thiem S, Jurisch M (1993) Solidification modelling of microstructures in near-net-shape casting of steels. Mater Sci Eng A 173(1-2):323-326
29. Sahm PR, Jones H, Adam C (2012) Science and technology of the undercooled melt:rapid solidification materials and technologies. Springer Science & Business Media, London
30. Morris DG (1982) Rapid-solidification phenomena. Met Sci 16(10):457-464

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