Solute redistribution around a parabolic dendrite in the case of thermodiffusion (Soret effect) and temperature-dependent diffusivity / Alexandrov D.V., Alexandrova I.V. // AIP Conference Proceedings. - 2017. - V. 1863, l. .

ISSN:

0094243X

Type:

Conference Paper

Abstract:

An exact analytical solution of a thermo-diffusional problem describing the steady-state growth of a free dendrite into a binary mixture under forced viscous flow is found with allowance for the effects of thermodiffusion and temperature-dependent diffusivity. We demonstrate that the non-linear mass transfer substantially change the solute concentration. © 2017 Author(s).

Author keywords:

dendritic growth; temperature-dependent diffusivity; Thermodiffusion

Index keywords:

нет данных

DOI:

10.1063/1.4992695

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026651733&doi=10.1063%2f1.4992695&partnerID=40&md5=3bb70106b31e1de091e53ab75b503315

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Другие поля

Поле	Значение
Art. No.	560012
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026651733&doi=10.1063%2f1.4992695&partnerID=40&md5=3bb70106b31e1de091e53ab75b503315
Affiliations	Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin ave., 51, Ekaterinburg, Russian Federation
Author Keywords	dendritic growth; temperature-dependent diffusivity; Thermodiffusion
References	Worster, M.G., (1991) J. Fluid Mech., 224, pp. 335-359; Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L., Bulitcheva, S.V., (2009) Acta Physica Polonica A, 115, pp. 791-794; Mullins, W.W., Sekerka, R.F., (1964) J. Appl. Phys., 35, pp. 444-451; Alexandrov, D.V., (2004) Int. J. Heat Mass Trans., 47, pp. 1383-1389; Alexandrov, D.V., Malygin, A.P., (2011) Int. J. Heat Mass Trans., 54, pp. 1144-1149; Alexandrov, D.V., Malygin, A.P., (2012) Int. J. Heat Mass Trans., 55, pp. 3196-3204; Aseev, D.L., Alexandrov, D.V., (2006) Acta Mater., 54, pp. 2401-2406; Hills, R.N., Loper, D.E., Roberts, P.H., (1983) Q. J. Appl. Math., 36, pp. 505-539; Fowler, A.C., (1985) IMA J. Appl. Maths., 35, pp. 159-174; Alexandrov, D.V., Malygin, A.P., (2006) Doklady Earth Sciences, 411, pp. 1407-1411; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Huang, H.-N., Lee, D., (2008) J. Phys.: Condens. Matter, 20; Alexandrov, D.V., Ivanov, A.A., (2009) Int. J. Heat Mass Trans., 52, pp. 4807-4811; Aseev, D.L., Alexandrov, D.V., (2006) Doklady Physics, 51, pp. 291-295; Alexandrov, D.V., Nizovtseva, I.G., (2014) Proc. R. Soc. A, 470; Alexandrov, D.V., Malygin, A.P., (2014) Modelling Simul. Mater. Sci. Eng., 22; Praizey, J.P., (1989) Int. J. Heat Mass Trans., 32, pp. 2385-2401; 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., (1995) J. Crystal Growth, 147, pp. 207-214; Van Vaerenbergh, S., Coriell, S.R., McFadden, G.B., (2001) J. Crystal Growth, 223, pp. 565-572; Bruson, A., Gerl, M., (1980) Phys. Rev. B, 21, pp. 5447-5454; Alexandrov, D.V., Aseev, D.L., (2005) J. Fluid Mech., 527, pp. 57-66; Alexandrov, D.V., Aseev, D.L., (2006) Comp. Mater. Sci., 37, pp. 1-6; Bouissou, Ph., Pelcé, P., (1989) Phys. Rev. A, 40, pp. 6673-6680; Alexandrov, D.V., Galenko, P.K., Herlach, D.M., (2010) J. Crystal Growth, 312, pp. 2122-2127; Alexandrov, D.V., Galenko, P.K., (2013) Phys. Rev. e, 87; Dash, S.K., Gill, W.N., (1984) Int. J. Heat Mass Trans., 27, pp. 1345-1356; Alexandrov, D.V., Galenko, P.K., (2014) Physics-Uspekhi, 57, pp. 771-786; Benamar, M., Bouissou, Ph., Pelce, P., (1988) J. Crystal Growth, 92, pp. 97-100
Editors	Simos T.E.Simos T.E.Tsitouras Ch.
Publisher	American Institute of Physics Inc.
Conference name	International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Conference date	19 September 2016 through 25 September 2016
Conference code	129257
ISBN	9780735415386
Language of Original Document	English
Abbreviated Source Title	AIP Conf. Proc.
Source	Scopus