Influence of rotational vibrations on heat and mass transfer during vertical bridgman growth F germanium crystals
DOI:
https://doi.org/10.7242/1999-6691/2008.1.1.6Keywords:
Abstract
The effect of high-frequency vibrations with small amplitude on the directional solidification of binary alloys is studied numerically. The calculations are made in the framework of a quasi-static approach for gallium doped germanium. The finite volume method is used. It is shown that in terrestrial conditions the influence of rotational vibrations on the radial dopant segregation is rather weak: quite high intensity of vibrations is needed to achieve a significant decrease in the dopant segregation. Under reduced gravity conditions, the effect of vibrations is considerable: the radial dopant segregation becomes uniform even at low-intensity vibrations.
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Donald T.J., Hurl. Crystal Pulling from the Melt. - Springer Verlag: Berlin Heidelberg, 1993. - 145 p.
Lyubimov D.V., Lyubimova T.P., Tcherepanov A.A., Roux B., Billia B., Nguyen-Thi H. Vibration influence on morphological instability of a solidification front // Intern. J. Microgravity Res. and Appl. - 2005. - V. 16. - N 1. - P. 290-294.
Lyubimova T., Lyubimov D., Roux B. Final report on ESA-ESTEC Contract 15637/01/NL/SH "Theoretical Support Group for Vibrational Dynamics and Control" / L3M - IMT la Jetee Marseille, France, February. - 2004. - 121 p.
Lan C.V., Lubimov D.V., Lubimova T.P., Ospennikov N.A., Parsakova A.N., U V.C. Vlianie vysokocastotnyh vibracij na morfologiceskuu neustojcivost’ pri napravlennoj kristallizacii binarnyh splavov // Izv. RAN. MZG.- 2008. - No 4. - C. 16-27
Lan C.W., Chen F.C. A finite volume method for solute segregation in directional solidification and comparison with a finite element method // Comput. Methods Appl. Mech. Energ. - 1996. - V.131. - P. 191-207 DOI
Marcuk G.I. Metody vycislitel’noj matematiki - M. Nauka, 1989. - 608 s.
Roak M.E., Solovejcik U.G., Surina E.P.. Setocnye metody resenia kraevyh zadac matematiceskoj fiziki // Novosibirsk: Izd-vo NGTU, 1998. - 120 s.
Balandin M.U., Surina E.P. Metody resenia SLAU bol’soj razmernosti // Novosibirsk: Izd-vo NGTU, 2000. - 70 s.
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