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Lattice-gas model based on field mediators for immiscible fluids
L O E dos Santos1, P C Philippi
1LMPT, Mechanical Engineering Department, Federal University of Santa Catarina, Caixa Postal 476 Florianopolis, Santa Catarina 88040-900, Brazil.
Summary
This study introduces a novel Boolean lattice-gas model using field mediators for simulating immiscible fluid flow. The model enhances computational efficiency and allows control over interfacial tension and transition thickness.
Area of Science:
- Computational physics
- Fluid dynamics
- Statistical mechanics
Background:
- Simulating immiscible fluid flow is crucial in various scientific and engineering fields.
- Existing models often face computational limitations and complexities in controlling fluid interface properties.
Purpose of the Study:
- To propose a novel Boolean lattice-gas model for simulating immiscible fluid flow.
- To enhance computational efficiency and provide control over interfacial properties.
- To validate the model through various case studies.
Main Methods:
- Development of a Boolean lattice-gas model incorporating field mediators.
- Introduction of emission P(e) and extinction P(a) probabilities to model field strength and interaction.
- Application of Chapman-Enskog asymptotic expansion to relate microdynamics to macroscopic parameters.
Main Results:
- The model successfully simulates immiscible fluid flow with improved computational efficiency.
- Interfacial tension and transition thickness are effectively controlled via emission and extinction probabilities.
- Verification of Laplace's law, droplet formation, and fluid-solid interactions were demonstrated.
Conclusions:
- The proposed lattice-gas model offers an efficient and controllable approach for simulating immiscible fluid dynamics.
- The field mediator concept provides a robust framework for modeling long-range interactions.
- The model's ability to reproduce various fluid phenomena validates its applicability.