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Phase-field model of freeze casting.

Kaihua Ji1,2, Alain Karma1

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Summary
This summary is machine-generated.

Directional solidification of water creates porous materials. A new phase-field model explains ice lamellae formation and drifting, crucial for understanding pattern development in materials science.

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Area of Science:

  • Materials Science
  • Physics
  • Chemical Engineering

Background:

  • Directional solidification of water is key for creating hierarchical porous materials.
  • The precise mechanisms governing pattern formation in this process are not fully understood.
  • Anisotropic properties of the ice-water interface influence solidification patterns.

Purpose of the Study:

  • To develop and analyze a quantitative phase-field model for simulating directional solidification of water.
  • To investigate the formation and behavior of ice lamellae during solidification.
  • To understand the influence of interface anisotropy on pattern evolution.

Main Methods:

  • Derivation and analysis of a quantitative phase-field model.
  • Incorporation of anisotropic energetic and kinetic properties of the ice-water interface.
  • Simulation of nonequilibrium solidification processes.

Main Results:

  • The model reproduces linear or nonlinear growth rate-undercooling relationships.
  • Spontaneous parity breaking leads to the formation of drifting ice lamellae.
  • Lamellae drifting velocity is controlled by basal plane kinetics and interface thickness.

Conclusions:

  • The phase-field model accurately simulates partially faceted ice lamellae formation.
  • Lamellae drifting is a key phenomenon in understanding pattern development.
  • The model provides quantitative insights into solidification dynamics with computational tractability.