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Published on: May 15, 2017
Growth of a two-phase finger in eutectics systems
G Boussinot1, C Hüter, E A Brener
1Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany.
Summary
This study theoretically investigates two-phase finger growth in eutectic systems, revealing how temperature and concentration deviations create distinct patterns. Scaling laws for pattern velocity and length are proposed.
Area of Science:
- Materials Science
- Physics
- Chemical Engineering
Background:
- Two-phase finger patterns observed in eutectic systems are crucial for understanding solidification processes.
- Previous experimental work by Akamatsu and Faivre (2000) highlighted the complexity of these patterns.
Purpose of the Study:
- To theoretically investigate the growth dynamics of two-phase fingers in eutectic systems.
- To analyze the influence of deviations from eutectic temperature and concentration on pattern formation.
- To propose scaling laws for the velocity and characteristic length scales of the observed patterns.
Main Methods:
- Utilized a boundary-integral formulation for theoretical analysis.
- Employed phase-field modeling to validate the stability of the two-phase finger patterns.
- Varied deviations from eutectic temperature and concentration as independent control parameters.
Main Results:
- Demonstrated that relative importance of temperature and concentration deviations significantly alters pattern morphology.
- Identified distinct pattern formations based on the interplay of these control parameters.
- Developed theoretical predictions for pattern velocity and length scales.
Conclusions:
- The theoretical framework successfully explains the formation of two-phase fingers in eutectic systems.
- Deviations in temperature and concentration are key drivers of pattern diversity.
- Proposed scaling laws provide a quantitative understanding of growth dynamics and pattern characteristics.
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