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Smoothed particle hydrodynamics model for phase separating fluid mixtures. I. General equations
Cedric Thieulot1, L P B M Janssen, Pep Español
1Department of Chemical Engineering, Rijksuniversiteit Groningen, Nijenborgh 4, 9747 AG Groningen, The Netherlands.
Summary
A new discrete fluid particle model simulates phase separating fluids. This thermodynamically consistent model, using smoothed particle hydrodynamics and GENERIC, accurately captures dynamics and thermodynamics.
Area of Science:
- Computational fluid dynamics
- Thermodynamics
- Materials science
Background:
- Phase separating fluid mixtures present complex dynamic behaviors.
- Existing models may not fully capture thermodynamic consistency in simulations.
- Hydrodynamic equations for van der Waals fluids require robust numerical methods.
Purpose of the Study:
- To develop a thermodynamically consistent discrete fluid particle model.
- To simulate phase separating van der Waals fluid mixtures.
- To incorporate surface tension effects and nonisothermal dynamics.
Main Methods:
- Formulation of a discrete model using smoothed particle hydrodynamics (SPH).
- Integration within the general equation for nonequilibrium reversible-irreversible coupling (GENERIC) framework.
- Each particle tracks mass, momentum, energy, and component mass fractions.
Main Results:
- The discrete model successfully simulates the dynamic evolution of phase separating fluids.
- The model accurately incorporates surface tension effects.
- Thermodynamic consistency, including the first and second laws, is precisely maintained.
Conclusions:
- The developed SPH-based discrete model provides a robust tool for simulating complex fluid behavior.
- This approach ensures thermodynamic consistency in nonisothermal, phase-separating systems.
- The model offers a reliable method for studying fluid mixtures with surface tension.