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Dissolution or Growth of a Liquid Drop via Phase-Field Ternary Mixture Model Based on the Non-Random, Two-Liquid
Andrea Lamorgese1, Roberto Mauri1
1DICI/University of Pisa, Largo Lazzarino 1, 56122 Pisa, Italy.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study simulates liquid drop behavior in binary mixtures using a diffuse-interface model. Drop size depends on mixture composition, either shrinking or stabilizing.
Area of Science:
- Physical Chemistry
- Materials Science
- Chemical Engineering
Background:
- Understanding liquid-liquid interactions is crucial for various chemical processes.
- Phase behavior in multicomponent mixtures influences solubility and stability.
- Diffuse-interface models offer a robust framework for simulating complex fluid dynamics.
Purpose of the Study:
- To theoretically investigate the dissolution or growth dynamics of a single-component liquid drop within a binary liquid phase.
- To explore the influence of mixture composition on drop stability and evolution.
- To apply a phase-field model incorporating non-random, two-liquid (NRTL) and Cahn-Hilliard approaches.
Main Methods:
- Simulation of a diffuse-interface model for partially miscible ternary liquid mixtures.
- Incorporation of the non-random, two-liquid (NRTL) equation for excess Gibbs energy.
- Application of square-gradient theory for nonlocal contributions.
- Two-dimensional numerical simulations of the governing phase-field equations.
Main Results:
- The model predicts that a single-component drop in a binary liquid can either dissolve completely or reach a stable size.
- Drop evolution is contingent upon the global composition of the ternary mixture.
- Behavior is determined by whether the composition falls within the one-phase region or the unstable range of the phase diagram.
Conclusions:
- The phase-field model successfully captures the diffusion-driven dynamics of liquid drops in binary mixtures.
- Global composition is a critical parameter dictating the ultimate fate of the embedded liquid drop.
- This work provides insights into phase stability and morphology evolution in ternary liquid systems.
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