An influence of a fractal-like mushy region on solidification process / Alexandrov D.V., Ivanov A.O., Komarovski M.E. // International Journal of Fluid Mechanics Research. - 1999. - V. 26, l. 2. - P. 224-231.

ISSN:
10642277
Type:
Article
Abstract:
The model of a unidirectional solidification in the presence of a fractal-like mushy region is suggested. The fractal structure of a mushy region is considered to be known and is approximated by the power dependence of the solid phase content on the spatial coordinate towards the solidification direction. The self-similar solution of the model is obtained. An influence of the mushy region fractal dimension on solidification velocity is revealed.
Author keywords:
Fractal-like mushy region; Solidification
Index keywords:
нет данных
DOI:
нет данных
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-0010143476&partnerID=40&md5=58bdf19c6131353780f65ad74fc9f1fb
Affiliations Department of Mathematical Physics, Urals State University, Ekaterinburg, Russian Federation
Author Keywords Fractal-like mushy region; Solidification
References Alexandrov, D.V., Mansurov, V.V., (1996) Scripta Materialia, 35, p. 787; Alexandrov, D.V., Buyevich, Yu.A., Mansurov, V.V., Vabischevich, P.N., Churbanov, A.G., (1996) Proceedings of the Second ECCOMAS; Conference on Numerical Methods in Engineering, p. 697. , 9-13 September, Paris, France; Anderson, D.M., Worster, M.G., (1995) J. Fluid Mech., 302, p. 307; Anderson, D.M., Worster, M.G., (1996) J. Fluid Mech., 307, p. 245; Borisov, V.T., (1987) Theory of Two-Phase Zone of Metallic Ingot, , Metallurgia, Moscow; Chen, F., (1997) J. Cryst. Growth, 179, p. 277; Kaviany, M., (1994) Principles of Convective Heat Transfer, , Springer-Verlag, New York; Mansurov, V.V., (1990) Math. Comp. Modeling, 14, p. 819; Vicsek, T., (1989) Fractal Growth Phenomena, , World Scientific, Singapore
Correspondence Address Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, Ekaterinburg, Russian Federation
CODEN IJFRF
Language of Original Document English
Abbreviated Source Title Int J Fluid Mech Res
Source Scopus