Published 6 issues per year
ISSN Print: 2152-5102
ISSN Online: 2152-5110
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Incipience of a Mushy Zone in Binary Melt Solidification Processes: General Theory
ABSTRACT
A theory of a mushy region emergence for binary alloys is developed based on the classical Stefan thermodiffusion problem. At the instant a concentration (constitutional) supercooling arises near a planar front of solidification, and, as a consequence, solid phase elements in the form of dendrites, grains, etc. grow ahead of a moving front, i.e. between pure solid and liquid phases a region of mixed solid phase and liquid phase (mushy zone) appears. If this is really the case, the Stefan thermodiffusion model becomes inapplicable. The time when the mushy region appears, and when the classical description of solidification becomes incorrect is found in the form of an integral equation.
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Alexandrov D. V., Alexandrova I. V., Ivanov A. A., Malygin A. P., Nizovtseva I. G., Nonlinear analysis of the stability of solidification with a mushy zone, Russian Metallurgy (Metally), 2014, 8, 2014. Crossref
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Malygin A. P., Alexandrov D. V., Analytical description of the quasi-stationary solidification of ternary systems, Russian Metallurgy (Metally), 2012, 2, 2012. Crossref
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Alexandrov D.V., Malygin A.P., Flow-induced morphological instability and solidification with the slurry and mushy layers in the presence of convection, International Journal of Heat and Mass Transfer, 55, 11-12, 2012. Crossref
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Alexandrov D. V., Pinigin D. A., On the theory of dendritic growth: Soret and temperature-dependent diffusion effects, Russian Metallurgy (Metally), 2013, 2, 2013. Crossref