On the theory of self-similar crystallization with a mushy layer / Alexandrov D.V., Alexandrova I.V. // AIP Conference Proceedings. - 2017. - V. 1863, l. .

ISSN:
0094243X
Type:
Conference Paper
Abstract:
A set of non-linear equations describing the self-similar directional crystallization process is solved in the case of small variations of the solid phase fraction with time. The solute concentration, temperature, liquid phase fraction and parabolic growth rate constants are found analytically. © 2017 Author(s).
Author keywords:
crystallization; Mushy layer
Index keywords:
нет данных
DOI:
10.1063/1.4992694
Смотреть в Scopus:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026659205&doi=10.1063%2f1.4992694&partnerID=40&md5=2454d273f51a5ac9dd5d871ed4499be0
Соавторы в МНС:
Другие поля
Поле Значение
Art. No. 560011
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-85026659205&doi=10.1063%2f1.4992694&partnerID=40&md5=2454d273f51a5ac9dd5d871ed4499be0
Affiliations Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Lenin ave., 51, Ekaterinburg, Russian Federation
Author Keywords crystallization; Mushy layer
References 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; Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L., Bulitcheva, S.V., (2009) Acta Physica Polonica A, 115, pp. 791-794; 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; 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; Huppert, H.E., Worster, M.G., (1985) Nature, 314, pp. 703-707; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H.E., (1990) J. Fluid Mech., 216, pp. 323-342; Alexandrov, D.V., Malygin, A.P., (2006) Doklady Earth Sciences, 411, pp. 1407-1411; 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; Aseev, D.L., Alexandrov, D.V., (2006) Doklady Physics, 51, pp. 291-295; Alexandrov, D.V., Ivanov, A.A., (2009) Int. J. Heat Mass Trans., 52, pp. 4807-4811; Alexandrov, D.V., Aseev, D.L., Nizovtseva, I.G., Huang, H.-N., Lee, D., (2007) Int. J. Heat Mass Trans., 50, pp. 3616-3623; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Huang, H.-N., Lee, D., (2008) J. Phys.: Condens. Matter, 20; Worster, M.G., (1991) J. Fluid Mech., 224, pp. 335-359; Alexandrov, D.V., Malygin, A.P., (2006) Int. J. Heat Mass Trans., 49, pp. 763-769; Batchelor, G.K., (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; 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; Alexandrov, D.V., Malygin, A.P., (2013) J. Phys. A: Math. Theor., 46; Alexandrov, D.V., (2014) J. Phys. A: Math. Theor., 47
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