On the unsteadiness time of primary dendritic growth / Titova E.A., Alexandrov D.V., Galenko P.K. // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. - 2016. - V. 26, l. 3. - P. 439-444.

ISSN:

19949197

Type:

Article

Abstract:

The evolution of the growth rate of a dendritic tip for nonisothermal crystal growth from the moment of crystal formation to the moment when the growth rate attains its steady-state value is considered. Gibbs-Thomson condition for highly nonequilibrium rapidly moving crystallization of a pure one-component liquid is used to determine the time dependence of the growth rate of a dendritic tip. It is shown that the dependence of the growth rate on overcooling has the form of an exponential law. Under the condition of constant overcooling an estimation of the time of reaching the steady-state regime of growth is obtained. The analytically derived velocity of growth as a function of time coincides with numerical calculations.

Author keywords:

Crystallization; Dendrites

Index keywords:

нет данных

DOI:

10.20537/vm160311

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009723294&doi=10.20537%2fvm160311&partnerID=40&md5=86234e78951885422cd9f0f914fbb51f

Соавторы в МНС:

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009723294&doi=10.20537%2fvm160311&partnerID=40&md5=86234e78951885422cd9f0f914fbb51f
Affiliations	Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, pr. Lenina, 51, Yekaterinburg, Russian Federation; Faculty of Physics and Astronomy, Friedrich Schiller University, Jena, Germany
Author Keywords	Crystallization; Dendrites
References	Herlach, D.M., Galenko, P., Holland-Moritz, D., (2007) Metastable Solids from Undercooled Melt, 432p. , Amsterdam: Elsevier; Kurz, W., Fisher, D.J., (1992) Fundamentals of Solidification, 305p. , Aedermannsdorf: Trans Tech Publications; Salhoumi, A., Galenko, P.K., Gibbs-Thomson condition for the rapidly moving interface in a binary system (2016) Physica A: Statistical Mechanics and its Applications, 447, pp. 161-171; Celentano, D., Cruchaga, M., Romero, J., El-Ganaoui, M., Numerical simulation of natural convection and phase-change in a horizontal Bridgman apparatus (2011) International Journal of Numerical Methods for Heat & Fluid Flow, 21 (4), pp. 366-376; Koss, M.B., LaCombe, J.C., Tennenhouse, L.A., Glicksman, M.E., Winsa, E.A., Dendritic growth tip velocities and radii of curvature in microgravity (1999) Metallurgical and Materials Transactions A, 30 (12), pp. 3177-3190; Hultgren, R., Desai, P.D., Hawkins, D.T., Gleiser, M., Kelley, K.K., Wagman, D., Selected values of the thermodynamic properties of the elements (1973) American Society for Metals, 636p. , Metals Park, Ohio, AMS
Publisher	Udmurt State University
Language of Original Document	Russian
Abbreviated Source Title	Vestn. Udmurt. Univ., Matematika, Mekhanika, Kompyuternye Nauki
Source	Scopus