ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Galenko P. K., Krivilyov M. D., Emelyanov K. V. Bifurcations in a structure of a free-growing dendrite during solidification of a binary system. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 2, pp. 122-136. DOI: 10.18500/0869-6632-1999-7-2-122-136

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Russian
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Article
UDC: 
536.42:548.51:669.18
DOI: 
10.18500/0869-6632-1999-7-2-122-136

Bifurcations in a structure of a free-growing dendrite during solidification of a binary system

Autors: 
Galenko Petr Konstantinovich, Udmurt State University
Krivilyov Mikhail Dmitrievich, Udmurt State University
Emelyanov Konstantin Vladimirovich, Udmurt State University
Abstract: 

Using a model of local nonequilibrium solidification of supercooled binary system the dynamics of a motion of the liquid—solid interface having dendritic structure is investigated. The morphological spectrum of side—branch surface of a free—growing dendrite is defined. The modification of dendritic structure is considered in an association with two controlling parameters: an initial undercooling and position from the tip of dendrite which is define local undercooling at the phase interface. Due to the values of these parameters the interface can become unstable, periodic, and bifurcate with doubling, trebling of the period and so on.

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Acknowledgments: 
This work was supported by a grant from the Ministry of General and Professional Education of the Russian Federation under the section “Natural Science. Theoretical and Mathematical Physics” (grant № 97-0-14.3-13).
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Received: 
15.01.1999
Accepted: 
26.02.1999
Published: 
03.07.1999
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