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Published on: August 14, 2018
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The effect of density changes on crystallization with a mushy layer.
Irina G Nizovtseva1, Dmitri V Alexandrov2
1Physikalisch-Astronomische Fakultät, Friedrich-Schiller-Universität Jena, Jena 07743, Germany.
Summary
This study analytically solves directional crystallization with a two-phase layer, finding exact solutions for solute concentration, temperature, and phase fractions. These findings aid analysis in materials science and biophysics.
Area of Science:
- Materials Science
- Physics
- Biophysics
Background:
- Directional crystallization involves a quasi-equilibrium two-phase layer.
- Understanding this layer is crucial for various scientific fields.
Purpose of the Study:
- To analytically solve a nonlinear problem of directional crystallization with a two-phase layer.
- To derive exact solutions for key parameters within the two-phase layer.
Main Methods:
- Analytical solution for a steady-state nonlinear problem.
- Parametric form solution using solid phase fraction.
- Inclusion of density changes in the liquid phase and arbitrary solid fraction at boundaries.
Main Results:
- Exact analytical solutions derived for solute concentration, temperature, and solid fraction within the mushy layer.
- Analytical expressions for liquid and solid phase properties, mushy layer thickness, and velocity.
- Demonstrated good agreement between theoretical predictions and experimental data.
Conclusions:
- The study provides a robust analytical framework for directional crystallization with a two-phase layer.
- The solutions are applicable to diverse fields including materials science, geophysics, biophysics, and medical physics.
- This work offers valuable tools for analyzing phase transitions in soft and biological matter.
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