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Morphological Stability of a Cylinder.
Sam R Coriell1, Stephen C Hardy1
1Institute for Materials Research, National Bureau of Standards, Washington, D.C. 20234.
Summary
This study examines the shape stability of solid cylinders forming in supercooled liquids. It incorporates solute diffusion, surface tension, and interface kinetics, with findings applied to ice cylinder crystallization.
Area of Science:
- Materials Science
- Physical Chemistry
- Crystallization Dynamics
Background:
- Crystallization processes are fundamental to materials science and engineering.
- Understanding shape stability during solidification is crucial for controlling material properties.
- Supercooled liquids present unique challenges for predicting crystal morphology.
Purpose of the Study:
- To analyze the stability of a solid cylinder crystallizing from a supercooled liquid.
- To investigate the influence of solute diffusion, anisotropic surface tension, and interface kinetics on crystal shape.
- To apply the derived stability equations to the specific case of ice cylinders.
Main Methods:
- Mathematical modeling of crystal growth stability.
- Inclusion of key physical phenomena: solute diffusion, surface tension anisotropy, and interface kinetics.
- Derivation of stability equations governing cylinder shape evolution.
Main Results:
- Developed a theoretical framework to predict the shape stability of crystallizing cylinders.
- Quantified the impact of solute diffusion and surface tension anisotropy on morphological stability.
- Demonstrated the applicability of the model to ice cylinder formation.
Conclusions:
- The shape of a crystallizing cylinder is influenced by a combination of diffusion, surface tension, and kinetic effects.
- The derived stability criteria provide insights into the growth of ice cylinders.
- This work contributes to a fundamental understanding of crystal morphology control.
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