Solidification and Structuresation of Instability Zones

Evgeniy Alexseevich Lukashov, Evgeniy Vladimirovich Radkevich

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DOI: 10.4236/am.2010.13021                

Abstract

Two mathematical crystallization models describing structure formations in instability zones are proposed and justified. The first model, based on a phase field system, describes crystallization processes in binary alloys. The second model, based on a modified Biot model of a porous medium and the convective Cahn–Hilliard model, governs oriented crystallization. Physical interpretation and numerical analysis are discussed.

Keywords

Solidification, Structuresation of Instability Zones, Phase Field Model

Conflicts of Interest

The authors declare no conflicts of interest.

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