Kinetics of Phase Separation in a Hypermonotectic Al–Pb Alloy
-
und
Abstract
A numerical model is presented that describes the microstructure evolution in liquid immiscible alloys under the common action of nucleation, diffusional growth and drop motion during continuous cooling through the miscibility gap. The model is satisfactorily verified by comparison with an analytically solvable case. The numerical results for an Al-5 wt.% Pb alloy cooled with 10,20 and 50 K/s from a temperature above the binodal show that the simultaneous action of Marangoni migration and Stokes settlement governs the macrosegregation of Pb. At low cooling rates a Pb film establishes by Stokes motion at bottom, at high cooling rates the Pb droplets accumulate in the middle part of a cylindrical sample due to the strong Marangoni motion opposing gravity induced sedimentation. The average drop radius does not vary with position in the sample at high cooling rates. At small cooling rates a slight variation with position is predicted.
One of the authors (J. Zhao) gratefully acknowledges the financial support from the Alexander von Humboldt Foundation. He is also very grateful to S. Drees, S. Sous, G. Korekt and D. Tscheuschner for their valuable help.
Literature
1. Ratke, L., Diefenbach, S.: Mater. Sci. Engn. R15 (1995) 263.Suche in Google Scholar
2. Rogers, J.; Davis, R.: Metall. Trans. A 21A (1990) 59.10.1007/BF02656424Suche in Google Scholar
3. Ratke, L.: J. Interf. Sci. 119 (1987) 391.10.1016/0021-9797(87)90285-2Suche in Google Scholar
4. Markworth, A. J.; Gelles, S. H.: Computer Simulations for Materials Application, in: R. Arsenault; J. Beeler;, J. Simmons, NBS, Gaithersburg (1976) 1023–36.Suche in Google Scholar
5. Zhao, J. Z.; Guo, J. J.; Jia, J.; Li, Q. C.: Trans. of NFsoc 5 (1995) 105.Suche in Google Scholar
6. Zhao, J. Z.; Ratke, L.; Feuerbacher, B.: Modelling and Simulation in Materials Science and Engineering, in press.Suche in Google Scholar
7. Ratke, L.; Alkemper, J.: Advances in Coll. and Interf. Sci. 58 (1995) 151.10.1016/0001-8686(95)00248-OSuche in Google Scholar
8. Alkemper, J.; Ratke, L.: Z. Metallkd. 85 (1994) 365.Suche in Google Scholar
9. Korrekt, G.; Ratke, L.: in: A. Roósz, M. Rettenmayr (eds), Proc. Second Intern. Conf. on Solidification and Gravity, Miskolc, Hungary (1995). Mater. Sci. Forum Trans Tech Publications, Aedermannsdorf, Switzerland, 81 – 88.Suche in Google Scholar
10. Korekt, G.; Ratke, L.: in: J. Beech, H. Jones (eds.), Proc. 4th Decennial Conference on Solidification Processing, Sheffield 1997, Department of Engineering Materials, University of Sheffield, U.K. (1997) 376–379.Suche in Google Scholar
11. Ratke, L.; Drees, S.; Diefenbach, S.; Print, B.; Ahlborn, H.: in: Materials and Fluids Under Low Gravity, L. Ratke, H. Walter, B. Feuerbacher (eds), Lecture Notes in Physics, Springer-Verlag, Berlin Vol. 464 (1996) 115–136.10.1007/BFb0102517Suche in Google Scholar
12. Takajo, S.; Kaysser, W. A.; Petzow, G.: Acta metall. 32 (1984) 107–113.10.1016/0001-6160(84)90207-4Suche in Google Scholar
13. Rogers, R. R.; Yau, M. K.: A Short Course in Cloud Physics Pergamon Press, Oxford (1989).Suche in Google Scholar
14. Granasy, L.; Ratke, L.: Scripta. Metall. Mater. 28 (1993) 1329.10.1016/0956-716X(93)90477-ASuche in Google Scholar
15. Christian: The Theory of Phase Transformation in Metals and Alloys, Pergamon Press, Elmsford, N.Y. 1 (1975).Suche in Google Scholar
16. Aaronson, H. I.; Lee, J. K.: Lectures on the Theory of Phase Transformations, H. I. Aaronson, American Institute of Mining, Metallurgical and Petroleum Engineers, New York (1975) 83–115.Suche in Google Scholar
17. Langer, J. S.; Schwartz, A. J.: Phys. Rev. A21 (1980) 948.10.1103/PhysRevA.21.948Suche in Google Scholar
18. Hu, H.; Argyropoulos, S. A.: Modelling Simul. Mater. Sci. Eng. 4 (1996) 371.10.1088/0965-0393/4/4/004Suche in Google Scholar
19. Korekt, G.; Ratke, L.: as Ref. [10], 376–379.Suche in Google Scholar
20. Sommer, F.: Z. Metallkd. 87 (1996) 865.Suche in Google Scholar
21. Yu, Sun-Keun; Sommer, F.: Z. Metallkd. 87 (1996) 574.Suche in Google Scholar
22. Eustathopoulos, N.; Chatain, D.; Vahlas, C.: Scripta. Metall. 18 (1984) 1.10.1016/0036-9748(84)90079-6Suche in Google Scholar
23. Falk, F.: Immiscible Metals and Organics, L. Ratke (ed.), DGM- Informationsgesellschaft, Oberursel, Germany (1993) 93–100.Suche in Google Scholar
24. Falk, F.; Langbein, D.; Heide, W.: Immiscible Metals and Organics, L. Ratke (ed.), DGM-Informationsgesellschaft, Oberursel, Germany (1993) 111–18.Suche in Google Scholar
© 1998 Carl Hanser Verlag, München
Artikel in diesem Heft
- Frontmatter
- Aufsätze
- Kinetics of Phase Separation in a Hypermonotectic Al–Pb Alloy
- Liquid–Liquid Interfacial Tension in the Demixing Metal Systems Ga–Hg and Ga–Pb
- Preparation, Structure and Physical Properties of Fe-, Co- and Ni-rich Melt-quenched Ribbons Containing Zr or Hf – Part IV: Thermal Stability; DSC, TEM and Thermomagnetic Studies
- Fractal Aggregation in MgO-B2O3-SiO2 Slag
- Phase Equilibria of the Decagonal AlCoNi Phase
- Free Energy of Mixing and Vapour Pressure of Liquid Ga-As, In-As, Ga-P and In-P Alloys
- Phase Equilibria in the Dy–Fe–Nd System at 500 °C
- Determination of Stress Gradients by X-ray Diffraction: Comparison of Different Methods and Applications
- Non-Linear Denoising with Wavelet Transformation
- Effect of Cold Working and Annealing on Grain Size and Hardness of a Zr-2.5Nb Alloy
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Buchbesprechungen
- Terminkalender
Artikel in diesem Heft
- Frontmatter
- Aufsätze
- Kinetics of Phase Separation in a Hypermonotectic Al–Pb Alloy
- Liquid–Liquid Interfacial Tension in the Demixing Metal Systems Ga–Hg and Ga–Pb
- Preparation, Structure and Physical Properties of Fe-, Co- and Ni-rich Melt-quenched Ribbons Containing Zr or Hf – Part IV: Thermal Stability; DSC, TEM and Thermomagnetic Studies
- Fractal Aggregation in MgO-B2O3-SiO2 Slag
- Phase Equilibria of the Decagonal AlCoNi Phase
- Free Energy of Mixing and Vapour Pressure of Liquid Ga-As, In-As, Ga-P and In-P Alloys
- Phase Equilibria in the Dy–Fe–Nd System at 500 °C
- Determination of Stress Gradients by X-ray Diffraction: Comparison of Different Methods and Applications
- Non-Linear Denoising with Wavelet Transformation
- Effect of Cold Working and Annealing on Grain Size and Hardness of a Zr-2.5Nb Alloy
- Mitteilungen der Deutschen Gesellschaft für Materialkunde e.V.
- Personen
- Buchbesprechungen
- Terminkalender