Self-similar solidification of an alloy from a cooled boundary / Alexandrov D.V., Malygin A.P. // International Journal of Heat and Mass Transfer. - 2006. - V. 49, l. 3-4. - P. 763-769.

ISSN:

00179310

Type:

Article

Abstract:

The self-similar solidification process of an alloy from a cooled boundary is studied on the basis of two models with a planar front and mushy layer. Approximate and exact analytical solutions of the process, which demonstrate unusual dynamics near the point of constitutional supercooling, are found. The rate of solidification and front position of the solid/mush boundary (parabolic growth rate constant) are expressed in an explicit form in the case of slow dynamics of this boundary. The theory under consideration is in a good agreement with experimental and numerical studies carried out by Huppert and Worster for ice growing from aqueous salt solutions. © 2005 Elsevier Ltd. All rights reserved.

Author keywords:

Mushy region; Solid-liquid transitions; Solidification

Index keywords:

Brines; Dynamics; Ice; Numerical analysis; Solidification; Supercooling; Analytical solutions; Mushy region; Parabolic growth rate constant; Solid-liquid transitions; Alloys; Alloys; Brines; Dynamics;

DOI:

10.1016/j.ijheatmasstransfer.2

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-31744443531&doi=10.1016%2fj.ijheatmasstransfer.2005.07.047&partnerID=40&md5=7426654a1f8cf08b440a035a404a3df3

Соавторы в МНС:

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-31744443531&doi=10.1016%2fj.ijheatmasstransfer.2005.07.047&partnerID=40&md5=7426654a1f8cf08b440a035a404a3df3
Affiliations	Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg 620083, Russian Federation
Author Keywords	Mushy region; Solid-liquid transitions; Solidification
References	Hills, R.N., Loper, D.E., Roberts, P.H., A thermodynamically consistent model of a mushy zone (1983) Q. J. Appl. Math., 36, pp. 505-539; Fowler, A.C., The formation of freckles in binary alloys (1985) IMA J. Appl. Math., 35, pp. 159-174; Buyevich, Yu.A., Iskakova, L.Yu., Mansurov, V.V., The nonlinear dynamics of solidification of a binary melt with a quasi-equilibrium mushy region (1990) Can. J. Phys., 68, pp. 790-793; Alexandrov, D.V., Solidification with a quasiequilibrium mushy region: Exact analytical solution of nonlinear model (2001) J. Crystal Growth, 222, pp. 816-821; Alexandrov, D.V., Solidification with a quasiequilibrium two-phase zone (2001) Acta Mater., 49, pp. 759-764; Huppert, H.E., Worster, M.G., Dynamic solidification of a binary melt (1985) Nature, 314, pp. 703-707; Worster, M.G., Solidification of an alloy from a cooled boundary (1986) J. Fluid Mech., 167, pp. 481-501; Batchelor, G.K., Transport properties of two-phase materials with random structure (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Worster, M.G., (1983) Convective Flow Problems in Geological Fluid Dynamics, , Ph.D. thesis, University of Cambridge; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Solidification of leads: Theory, experiment, and field observations (2000) J. Geophys. Res., 105, pp. 1123-1134; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Natural convection during solidification of an alloy from above with application to the evolution of sea ice (1997) J. Fluid. Mech., 344, pp. 291-316
Correspondence Address	Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
CODEN	IJHMA
Language of Original Document	English
Abbreviated Source Title	Int. J. Heat Mass Transf.
Source	Scopus