The convective flows in a melt under the rotation of an outside thermal field
Matematičeskoe modelirovanie, Tome 14 (2002) no. 1, pp. 16-26.

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This work presents a numerical study of the flows, which appear in melt of Ge in response to its step-by-step heating with vertical heaters placed around a cylindrical crucible. The numerical simulation is based on the solution of three-dimension non-stationary Navier–Stokes and heat transfer equations with the Boussinesq approximation. The results of the investigation show that control of a thermal field allows to obtain hashing of a liquid in azimuthal direction.
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V. N. Popov; A. E. Kokh; P. V. Mokrushnikov. The convective flows in a melt under the rotation of an outside thermal field. Matematičeskoe modelirovanie, Tome 14 (2002) no. 1, pp. 16-26. http://geodesic.mathdoc.fr/item/MM_2002_14_1_a1/

[1] Polezhaev V. I., “Matematicheskoe modelirovanie protsessov gidromekhaniki i teplomassoobmena pri vyraschivanii kristallov i razdelenii veschestv”, Gidromekhanika i teplomassoobmen pri poluchenii materialov, Nauka, M., 1990, 8–26

[2] Kokh A., “Crystal growth through forced stirring of melt or solution in Czochralski configuration”, J. Crystal Growth, 191(4) (1998), 774–778 | DOI

[3] Scheel H. J., Schulz-Duboiz E. O., “Flux growth of large crystals by accelerated cruciblerotation technique”, J. Crystal Growth, 8 (1971), 304–306 | DOI

[4] Jafri I. H., Prasad V., Anselmo A. P., Cupta K. P., “Role of crusible partition in impruving $\mathrm{Cz}$ melt conditions”, J. Crystal Growth, 154 (1995), 280–292 | DOI

[5] Kervalishvili P. D., Remizov I. A., “O vozmozhnosti uluchsheniya peremeshivaniya rasplava pri vyraschivanii kristallov po metodu Chokhralskogo”, Neorganicheskie materialy, 16:10 (1989), 1727–1732

[6] Atabaev S. Ch., Paturyan S. V., “Upravlenie konvektivnym teploobmenom v rasplave pri vyraschivanii akustoopticheskikh monokristallov metodov Chokhralskogo”, Gidromekhanika i teplomassoobmen pri poluchenii materialov, Nauka, M., 1990, 103–109

[7] Kokh A. E., Kononova N. G., Mokrushnikov P. V., “Upravlenie teplovym polem i protsessom konvektsii pri vyraschivanii kristallov”, Trudy IV Mezhd. konferentsii “Kristally: rost, svoistva, realnaya struktura, primenenie”, T. 1 (18–22 okt. 1999 g.), VNIISIMS, Aleksandrov, 234–256

[8] Kokh A. E., Kokh V. E., Kononova N. G., “Ustanovka dlya vyraschivaniya kristallov v usloviyakh vrascheniya teplovogo polya”, Pribory i Tekhnika Eksperiment, 1 (2000), 157–160

[9] Kokh A. E., Kononova N. G., “Crystal growth under heat field rotation conditions”, Solid State Electronics, 44:5 (2000), 819–824 | DOI

[10] Williams G. P., “Numerical integration of the three-dimensional Navier–Stokes equations for incompressible flow”, J. Fluid Mech., 37:4 (1969), 727–750 | DOI | Zbl

[11] Roache P. J., Computational Fluid Dynamics, Hermosa, Albuquerque, 1972 | MR

[12] Samarskii A. A., Nikolaev E. S., Metody reshenii setochnykh uravnenii, Nauka, M., 1978 | MR | Zbl

[13] Il'in V. P., Incomplete factorization methods, World Scientific Publishing Co., Singapore, 1992 | MR

[14] Regel A. R., Glazov V. M., Fizicheskie svoistva elektronnykh rasplavov, Nauka, M., 1980

[15] Khairulin R. A., Stankus S. V., “Eksperimentalnoe issledovanie temperaturnykh i mezhfaznykh izmerenii plotnosti germaniya i kremniya”, Teplofizicheskie svoistva individualnykh veschestv i rastvorov, Inst-t teplofiziki SO AN SSSR, Novosibirsk, 1986, 5–15