Full Eulerian lattice Boltzmann model for conjugate heat transfer
1School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, People's Republic of China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
Summary
This study introduces a novel Eulerian lattice Boltzmann model for conjugate heat transfer. The model efficiently handles complex interfaces, ensuring temperature continuity and flux without special interface treatments.
Area of Science:
- Computational Fluid Dynamics
- Heat Transfer
- Numerical Methods
Background:
- Conjugate heat transfer (CHT) simulations with complex interfaces are computationally challenging.
- Existing methods often require complex interface treatments, increasing simulation time and difficulty.
- Accurate modeling of temperature and flux continuity at interfaces is crucial for CHT analysis.
Purpose of the Study:
- To develop a unified Eulerian lattice Boltzmann model for conjugate heat transfer.
- To simplify the simulation of heat transfer across complex interfaces.
- To ensure automatic satisfaction of temperature and flux continuity at interfaces.
Main Methods:
- A full Eulerian lattice Boltzmann model is proposed.
- A unified governing equation with a source term for the temperature field is derived.
- Physical quantities are managed on a Cartesian grid, treating interfaces as zigzag lines.
Main Results:
- The model automatically satisfies temperature and normal flux continuity at interfaces.
- Complex interface treatments are avoided, enabling efficient simulations.
- Validation against analytical and finite volume methods shows good agreement for various heat transfer problems.
Conclusions:
- The proposed lattice Boltzmann model offers an efficient and accurate approach for CHT simulations with complex interfaces.
- The unified governing equation simplifies the handling of interface conditions.
- The method is suitable for both steady and unsteady heat transfer problems involving flat and curved interfaces.
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