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Density change effects on crystal growth from the melt
1Dipartimento di Matematica e Fisica, Universita; di Camerino, and Istituto Nazionale di Fisica della Materia, Via Madonna delle Carceri, I-62032, Camerino, Italy.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
Crystal growth from melts generates density changes, causing fluid flow that impacts solidification. This study introduces a phase-field model accounting for these density effects, improving upon classic models.
Area of Science:
- Thermodynamics
- Materials Science
- Fluid Dynamics
Background:
- Crystal growth from undercooled melts involves density changes.
- These density changes induce convective flow, complicating purely diffusional models.
- Flow-induced dynamic pressure can alter melting temperature and effective undercooling.
Purpose of the Study:
- To develop a thermodynamically consistent phase-field model for solidification.
- To incorporate the effects of density changes during crystal growth.
- To analyze deviations from traditional phase-field models.
Main Methods:
- Derivation of a phase-field model from a thermodynamic potential.
- Inclusion of squared gradient terms for order parameter and density.
- Numerical solution in one dimension.
Main Results:
- A novel phase-field model accounting for density changes was derived.
- The model demonstrates deviations from classic phase-field descriptions.
- Thermodynamic consistency was maintained with positive local entropy production.
Conclusions:
- Density changes significantly influence solidification dynamics.
- The developed phase-field model offers a more accurate description of crystal growth.
- This work advances the understanding of solidification phenomena.