Directional solidification with a two-phase zone: thermodiffusion and temperature-dependent diffusivity / Alexandrov D.V., Aseev D.L. // Computational Materials Science. - 2006. - V. 37, l. 1-2. - P. 1-6.

ISSN:

09270256

Type:

Article

Abstract:

The effect of a temperature-dependent solute diffusion coefficient on the model of unidirectional solidification of a binary melt with a steady-state two-phase zone is studied. The Soret effect (thermodiffusion) is also included in the analysis. Analytical approaches and numerical calculations allow us to solve the nonlinear problem under consideration. The concentration and temperature fields in the liquid, solid and mixed state phases are found as functions of all thermophysical parameters. The rate of solidification and two-phase zone thickness are determined as well. The role of the nonlinear solute transport is detailed in the analysis. Our theory demonstrates that the mushy zone can be treated as a self-similar object. © 2006 Elsevier B.V. All rights reserved.

Author keywords:

Crystal growth; Directional solidification; Multiphase materials; Thermodiffusion; Two-phase zone

Index keywords:

Numerical analysis; Phase transitions; Solidification; Thermal diffusion in solids; Thermal effects; Two phase flow; Binary melt; Multiphase materials; Thermodiffusion; Two-phase zone; Crystal growth

DOI:

10.1016/j.commatsci.2005.12.01

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-33745414495&doi=10.1016%2fj.commatsci.2005.12.019&partnerID=40&md5=0bf9357e4c737963924f37c5e4ad8866

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-33745414495&doi=10.1016%2fj.commatsci.2005.12.019&partnerID=40&md5=0bf9357e4c737963924f37c5e4ad8866
Affiliations	Department of Mathematical Physics, Urals State University, Lenin ave. 51, Ekaterinburg, 620083, Russian Federation
Author Keywords	Crystal growth; Directional solidification; Multiphase materials; Thermodiffusion; Two-phase zone
References	Stefan, I., (1898) Sitzber. Kais. Akad. Wiss. Wien., 98, pp. 437-438; Ivantsov, G.P., (1951) Dokl. Akad. Nauk SSSR, 81, pp. 179-182; Mullins, W.W., Sekerka, R.F., (1964) J. Appl. Phys., 35, pp. 444-451; Hills, R.N., Loper, D.E., Roberts, P.H., (1983) Q. J. Mech. Appl. Math., 36, pp. 505-539; Fowler, A.C., (1985) IMA J. Appl. Math., 35, pp. 159-174; Borisov, V.T., (1987) Theory of Two-phase (Mushy) Zone of a Metal Ingot, , Metallurgiya Publishing House, Moscow; Worster, M.G., (1986) J. Fluid Mech., 167, pp. 481-501; Buyevich, Yu.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Cristallization, , Begell House, New York, Wallingford; Alexandrov, D.V., (2001) Acta Mater., 49, pp. 759-764; Huppert, E.H., Worster, M.G., (1985) Nature, 314, pp. 703-707; Van Vaerenbergh, S., Garandet, J.P., Praizey, J.P., Legros, J.C., (1998) Phys. Rev. E, 58, pp. 1866-1873; Van Vaerenbergh, S., Coriell, S.R., McFadden, G.B., Murray, B.T., Legros, J.C., (1995) J. Cryst. Growth, 147, pp. 207-214; Van Vaerenbergh, S., Coriell, S.R., McFadden, G.B., (2001) J. Cryst. Growth, 223, pp. 565-572; Bruson, A., Gerl Diffusion, M., (1980) Phys. Rev. B, 21, pp. 5447-5454; Batchelor, G.K., (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H., (1990) J. Fluid Mech., 216, pp. 323-342; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H., (1990) J. Fluid Mech., 217, pp. 331-348; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H., (1990) J. Fluid Mech., 218, pp. 337-354; Czapelski, M., (1998) J. Cryst. Growth, 187, pp. 138-139; Kubicek, P., Mrazek, L., (2001) Czech. J. Phys., 46, pp. 567-580; Feder, J., (1988) Fractals, , Plenum Press, New York; Mandelbrot, B.B., (1982) Fractal Geometry of Nature, , Freeman, New York
Correspondence Address	Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, Lenin ave. 51, Ekaterinburg, 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
CODEN	CMMSE
Language of Original Document	English
Abbreviated Source Title	Comput Mater Sci
Source	Scopus