On the theory of self-similar phase transitions with a mushy layer / Alexandrov D.V., Alexandrova I.V., Ivanov A.A. // IOP Conference Series: Materials Science and Engineering. - 2017. - V. 192, l. 1.

ISSN:

17578981

Type:

Conference Paper

Abstract:

It is well-known that directional crystallization processes frequently occur in unsteady-state manner. One of such time-dependent crystallization regimes is the self-similar process characterizing by the scaled combination between the spatial coordinate ξ (directed along the solidification axis) and time t. Such scaling relation usually establishes when the crystallization process is far from its initial stage t = 0. In this paper, we consider some approximate heuristic relations describing the self-similar solidification mode. © Published under licence by IOP Publishing Ltd.

Author keywords:

Index keywords:

Solidification; Crystallization process; Crystallization regimes; Directional crystallization; Scaling relations; Self-similar process; Solidification mode; Spatial coordinates; Time dependent; Phase

DOI:

10.1088/1757-899X/192/1/012017

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018399109&doi=10.1088%2f1757-899X%2f192%2f1%2f012017&partnerID=40&md5=7655c2d7330ac006673dc3a46e8e2d68

Соавторы в МНС:

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Другие поля

Поле	Значение
Art. No.	012017
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018399109&doi=10.1088%2f1757-899X%2f192%2f1%2f012017&partnerID=40&md5=7655c2d7330ac006673dc3a46e8e2d68
Affiliations	Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation
References	Chalmers, B., (1961) Physical Metallurgy, , (New York: John Wiley); Laudise, R.A., (1972) The Growth of Single Crystals, , (New York: Prentice Hall); Brice, J.S., (1973) The Growth of Crystals from Liquid, , (Amsterdam: North Holland); Hobbs, P.V., (1974) Ice Physics, , (Oxford: Clarendon); Alexandrov, D.V., (2004) Int. J. Heat Mass Trans., 47 (6-7), pp. 1383-1389; Herlach, D.M., (2008) Phase Transformations in Multicomponent Melts, , (Weinheim: Wiley-VCH); Alexandrov, D.V., Malygin, A.P., (2011) Int. J. Heat Mass Trans., 54 (5-6), pp. 1144-1149; Alexandrov, D.V., Malygin, A.P., (2012) Int. J. Heat Mass Trans., 55 (11-12), pp. 3196-3204; Herlach, D.M., (2015) Crystals, 5 (3), pp. 355-375; Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L., Bulitcheva, S.V., (2009) Acta Physica Polonica A, 115 (4), pp. 791-794; Hills, R.N., Loper, D.E., Roberts, P.H., (1983) Q. J. Appl. Math., 36 (4), pp. 505-539; Fowler, A.C., (1985) IMA J. Appl. Math., 35 (2), pp. 159-174; Borisov, V.T., (1987) Theory of Two-Phase Zone of Metallic Ingot, , (Moscow: Metallurgia); Alexandrov, D.V., (2001) J. Crystal Growth, 222 (4), pp. 816-821; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Huang, H.-N., Lee, D., (2008) J. Phys.: Condens. Matter, 20 (11); Alexandrov, D.V., Nizovtseva, I.G., (2008) Dokl. Earth Sci., 419 (1), pp. 359-362; Alexandrov, D.V., Ivanov, A.A., Malygin, A.P., (2009) Acta Physica Polonica A, 115 (4), pp. 795-799; Alexandrov, D.V., Ivanov, A.A., (2009) Int. J. Heat Mass Trans., 52 (21-22), pp. 4807-4811; Huppert, H.E., Worster, M.G., (1985) Nature, 314 (6013), pp. 703-707; Worster, M.G., (1986) J. Fluid Mech., 167, pp. 481-501; Alexandrov, D.V., Malygin, A.P., (2013) J. Phys. A: Math. Theor., 46; Alexandrov, D.V., Nizovtseva, I.G., (2014) Proc. R. Soc. A, 470 (2162); Alexandrov, D.V., Malygin, A.P., (2014) Modelling Simul. Mater. Sci. Eng., 22 (1); Alexandrov, D.V., (2014) Phys. Lett. A, 378 (21), pp. 1501-1504; Alexandrov, D.V., (2014) J. Phys. A: Math. Theor., 47; Alexandrov, D.V., (2014) Phil. Mag. Lett., 94 (12), pp. 786-793
Publisher	Institute of Physics Publishing
Conference name	International Conference on Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment, SPTM 2017
Conference date	23 March 2017 through 27 March 2017
Conference code	127357
Language of Original Document	English
Abbreviated Source Title	IOP Conf. Ser. Mater. Sci. Eng.
Source	Scopus