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A Two-Relaxation-Time Lattice Boltzmann Model for Convective Heat Transfer in Porous Media under Local Thermal
Hailiang Cao1, Zhenzhen Shao1, Xin Wang2
1School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China.
Langmuir : the ACS Journal of Surfaces and Colloids
|April 20, 2026
Summary
A new TRT-LB model accurately simulates heat transfer in porous media, overcoming limitations of traditional methods. This approach enhances stability and reduces complexity for local thermal nonequilibrium conditions.
Area of Science:
- Computational fluid dynamics
- Heat transfer in porous media
- Multiphase flow modeling
Background:
- Local thermal nonequilibrium (LTNE) is significant in porous media due to differing solid-fluid thermal properties.
- Traditional models like BGK and MRT have limitations in accuracy, stability, and computational complexity for LTNE.
- Accurate simulation of flow and temperature in porous media is crucial but challenging.
Purpose of the Study:
- To develop an innovative TRT-LB model for simulating flow and heat transfer in porous media under LTNE conditions.
- To address the accuracy, stability, and complexity issues associated with existing numerical models.
- To provide a more efficient and accurate simulation tool for porous media applications.
Main Methods:
- Development of a Two-Relaxation-Time Lattice Boltzmann (TRT-LB) model on the Representative Elementary Volume (REV) scale.
- Introduction of two TRT-LB equations to calculate fluid and solid temperature distributions separately.
- Incorporation of external and source terms for accurate prediction of internal heat sources and convective heat transfer.
- Verification using the Chapman-Enskog method to derive macroscopic control equations.
- Validation through three benchmark cases: mixed convection in a porous channel, steady-state natural convection, and transient natural convection in foam metals.
Main Results:
- The TRT-LB model accurately and stably captures flow and heat exchange processes in porous media.
- The model effectively displays subtle temperature differences under LTNE conditions.
- Significant reduction in implementation complexity and computational cost compared to traditional methods.
Conclusions:
- The proposed TRT-LB model offers a robust and efficient solution for simulating heat transfer in porous media with LTNE.
- This model overcomes the limitations of BGK and MRT models, providing improved accuracy and stability.
- The TRT-LB model is a valuable tool for research and engineering applications involving porous media heat transfer.
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