Three-dimensional multiple-relaxation-time lattice Boltzmann models for single-phase and solid-liquid phase-change heat transfer in porous media at the REV scale
| Autor: | Qing-Hua Gu, Cai-Wu Lu, Xiang-Bo Feng, Qing Liu, Ya-Ling He |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Convection
Materials science Convective heat transfer 020209 energy Darcy number Lattice Boltzmann methods Energy Engineering and Power Technology 02 engineering and technology Mechanics Industrial and Manufacturing Engineering Isothermal process 020401 chemical engineering Heat transfer 0202 electrical engineering electronic engineering information engineering Representative elementary volume 0204 chemical engineering Porous medium |
| Zdroj: | Applied Thermal Engineering. 152:319-337 |
| ISSN: | 1359-4311 |
| Popis: | In this paper, three-dimensional (3D) multiple-relaxation-time (MRT) lattice Boltzmann (LB) models are developed for single-phase and solid-liquid phase-change heat transfer in porous media at the representative elementary volume (REV) scale. These models are developed in the framework of the double-distribution-function (DDF) approach: the flow field is solved by an isothermal MRT-LB model with the D3Q15 or D3Q19 lattice based on the generalized non-Darcy model, while the temperature field is solved by a thermal MRT-LB model with the D3Q7 lattice. In the 3D DDF-MRT model for solid-liquid phase-change heat transfer in porous media, the enthalpy method is employed to capture the solid-liquid phase interface in an implicit manner. Mesoscopically, the effective enthalpy is defined as the basic evolution variable of the enthalpy-based MRT-LB model, and as a result, the temperature and liquid-fraction fields can be solved without iteration procedure. The practicability and accuracy of the proposed models are demonstrated by numerical simulations of several 3D single-phase and solid-liquid phase-change heat transfer problems in porous media at the REV scale. It is shown that the 3D DDF-MRT models for convection heat transfer in porous media are second-order accurate in space. In addition, the influences of Darcy number and porosity on the melting (solidification) processes of 3D melting (solidification) with convection in a cubical porous cavity are investigated by the enthalpy-based DDF-MRT model. |
| Databáze: | OpenAIRE |
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