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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v27.i2-4.40
pages 223-238

Incipience of a Mushy Zone in Binary Melt Solidification Processes: General Theory

Dmitri V. Alexandrov
Urals State University, Ekaterinburg, Russian Federation

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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