Convective instability of solidification with a phase transition zone / Alexandrov D.V., Malygin A.P. // Journal of Experimental and Theoretical Physics. - 2011. - V. 112, l. 4. - P. 596-601.

ISSN:

10637761

Type:

Article

Abstract:

The morphological instability of solidification is analytically studied in the presence of an anisotropic and heterogeneous phase transition zone with allowance for a liquid flow and convective heat-andmass transfer in this two-phase zone. The mechanism of breaking the stability of solidification is considered; it consists in a convective heat and impurity transfer during a liquid flow along channels in the phase transition zone. The morphological instability is subjected to linear analysis with allowance for a liquid flow in the liquid phase of the system, impurity diffusion in the two-phase zone, and the dependence of the transfer coefficients on the phase composition. The perturbation evolution parameter is determined for an anisotropic and heterogeneous two-phase zone, and neutral stability curves of the process are obtained. It is shown that taking into account impurity diffusion and an increase in the heterogeneity of the phase transition zone broaden the instability region and that a decrease in the anisotropy narrows this region. A new criterion of convective morphological instability of solidification with a two-phase zone is found, and it substantially broadens the instability region when the liquid flow velocity increases. © 2011 Pleiades Publishing, Inc.

Author keywords:

Index keywords:

Convective heat; Convective instabilities; Evolution parameters; Heterogeneous phase; Impurity diffusion; Impurity transfer; Linear analysis; Liquid flow; Liquid flow velocity; Liquid Phase; Morpholog

DOI:

10.1134/S1063776111030010

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Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-79957862379&doi=10.1134%2fS1063776111030010&partnerID=40&md5=3b7eb1384d5f3e3a0812c3ba8d899f8f
Affiliations	Gorkiy Ural State University, pr. Lenina 51, Yekaterinburg 620083, Russian Federation
References	Taylor, G.I., (1923) Philos. Trans. R. Soc. London, Ser. A, 223, p. 289. , 1923RSPTA.223.289T 10.1098/rsta.1923.0008; Mullins, W.W., Sekerka, R.F., (1964) J. Appl. Phys., 35, p. 444. , 1964JAP.35.444M 10.1063/1.1713333; Lin, C.C., (1955) The Theory of Hydrodynamic Stability, , Cambridge University Press Cambridge 0068.39202; Ivantsov, G.P., (1951) Dokl. Akad. Nauk SSSR, 81, p. 179; Sekerka, R.F., (1973) Crystal Growth: An Introduction, p. 403. , P. Hartman (eds). North-Holland Amsterdam, The Netherlands; Hills, R.N., Loper, D.E., Roberts, P.H., (1983) Q. J. Mech. Appl. Math., 36, p. 505. , 0549.73002 10.1093/qjmam/36.4.505; Worster, M.G., (1986) J. Fluid Mech., 167, p. 481. , 1986JFM.167.481W 0599.76125 10.1017/S0022112086002938; Wollkind, D.J., Segel, L.A., (1970) Philos. Trans. R. Soc. London, Ser. A, 268, p. 351. , 1970RSPTA.268.351W 10.1098/rsta.1970.0078; Borisov, V.T., (1987) The Theory of A Two-Phase Zone of Metallic Ingots, , Metallurgiya Moscow; Vabishchevich, P.N., Mansurov, V.V., Churbanov, A.G., (1994) Khim. Prom-st., 39. , (St. Petersburg), No. 10; Alexandrov, D.V., Churbanov, A.G., Vabishchevich, P.N., (1999) Int. J. Fluid Mech. Res., 26, p. 248; Buyevich, Yu.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , Begell House New York, United States; Alexandrov, D.V., Malygin, A.P., (2006) Dokl. Akad. Nauk, 411 (3), p. 390. , [Dokl. Earth Sci. 411 (2), 1407 (2006)]; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of leads: Approximate solutions of non-linear problem (2006) Annals of Glaciology, 44, pp. 118-122. , DOI 10.3189/172756406781811213; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., (1997) Geophys. Res. Lett., 24, p. 1251. , 1997GeoRL.24.1251W 10.1029/97GL00877; Wettlaufer, J.S., Grae Worster, M., Huppert, H.E., Natural convection during solidification of an alloy from above with application to the evolution of sea ice (1997) Journal of Fluid Mechanics, 344, pp. 291-316. , DOI 10.1017/S0022112097006022; Schulze, T.P., Worster, M.G., (1999) J. Fluid Mech., 388, p. 197. , 1999JFM.388.197S 0978.76088 10.1017/S0022112099004589; Bergman, M.I., Fearn, D.R., Bloxham, J., Shannon, M.C., (1997) Metall. Mater. Trans. A, 28, p. 859; Feltham, D.L., Worster, M.G., Wettlaufer, J.S., (2002) J. Geophys. Res., 107, p. 3009. , 2002JGRC.107.3009F 10.1029/2000JC000559; Feltham, D.L., Worster, M.G., (1999) J. Fluid Mech., 391, p. 337. , 1999JFM.391.337F 0989.76022 10.1017/S002211209900539X; Hellawell, A., Sarazin, J.R., Steube, R.S., (1993) Philos. Trans. R. Soc. London, Ser. A, 345, p. 507. , 1993RSPTA.345.507H 10.1098/rsta.1993.0143; Tait, S., Jaupart, C., (1992) J. Geophys. Res., 97, p. 6735. , 1992JGR.97.6735T 10.1029/92JB00016; Bergman, M.I., Fearn, D.R., Chimneys on the Earth's inner-outer core boundary? (1994) Geophysical Research Letters, 21 (6), pp. 477-480. , DOI 10.1029/94GL00028; Batchelor, G.K., (1974) Ann. Rev. Fluid Mech., 6, p. 227. , 1974AnRFM.6.227B 10.1146/annurev.fl.06.010174.001303; Polubarinova-Kochina, P., Ya, (1962) Theory of Ground Water Movement, , Princeton University Press Princeton, New Jersey, United States 0114.42601; Ono, N., Kasai, T., (1980) Ann. Glaciol., 6, p. 298. , 1985AnGla.6.298O; Martin, S., Kauffman, P., (1974) J. Fluid Mech., 64, p. 507. , 1974JFM.64.507M 10.1017/S0022112074002527; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., (2000) J. Geophys. Res., 105, p. 1123. , 2000JGR.105.1123W 10.1029/1999JC900269; Alexandrov, D.V., Ivanov, A.O., Dynamic stability analysis of the solidification of binary melts in the presence of a mushy region: Changeover of instability (2000) Journal of Crystal Growth, 210 (4), pp. 797-810. , DOI 10.1016/S0022-0248(99)00763-0
Correspondence Address	Alexandrov, D. V.; Gorkiy Ural State University, pr. Lenina 51, Yekaterinburg 620083, Russian Federation
Language of Original Document	English
Abbreviated Source Title	J. Exp. Theor. Phys.
Source	Scopus