Phase-field-based lattice Boltzmann method for two-phase flows with interfacial mass or heat transfer
Baihui Chen1, Chengjie Zhan1, Zhenhua Chai1
1School of Mathematics and Statistics, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan, 430074, China; Institute of Interdisciplinary Research for Mathematics and Applied Science, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China; and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China.
Physical Review. E
|August 20, 2024
Summary
We developed a new phase-field lattice Boltzmann (LB) method for two-phase flows with interfacial mass or heat transfer. This LB method accurately simulates complex fluid dynamics and heat/mass transfer phenomena.
Area of Science:
- Computational Fluid Dynamics
- Multiphase Flow Simulation
- Phase-Field Modeling
Background:
- Two-phase flows with interfacial mass or heat transfer are crucial in many engineering applications.
- Accurate simulation of these phenomena requires robust numerical methods.
- Existing methods may face challenges in capturing complex interfacial dynamics.
Purpose of the Study:
- To develop a novel phase-field-based lattice Boltzmann (LB) method.
- To model two-phase flows incorporating interfacial mass or heat transfer.
- To validate the method's accuracy and efficiency.
Main Methods:
- Phase-field-based lattice Boltzmann (LB) method.
- Chapman-Enskog analysis for equation recovery.
- A new LB model with an auxiliary source distribution function.
- Numerical simulations of benchmark problems.
Main Results:
- The LB method correctly recovers governing equations for phase field, flow, and concentration/temperature.
- The proposed auxiliary source function simplifies discretization of derivative terms.
- The method accurately simulates two-phase flows with interfacial mass or heat transfer.
- The influence of mass/heat transfer on fluid viscosity was investigated.
Conclusions:
- The developed phase-field LB method is suitable for simulating two-phase flows with interfacial mass or heat transfer.
- The method offers an efficient and accurate approach for such complex problems.
- This work provides a valuable tool for researchers and engineers in relevant fields.
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